TSTP Solution File: SWV262-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV262-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 21:11:14 EDT 2022

% Result   : Timeout 300.02s 299.94s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV262-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 11:00:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.62/1.91  ============================== Prover9 ===============================
% 1.62/1.91  Prover9 (32) version 2009-11A, November 2009.
% 1.62/1.91  Process 15087 was started by sandbox on n017.cluster.edu,
% 1.62/1.91  Wed Jun 15 11:00:55 2022
% 1.62/1.91  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_14934_n017.cluster.edu".
% 1.62/1.91  ============================== end of head ===========================
% 1.62/1.91  
% 1.62/1.91  ============================== INPUT =================================
% 1.62/1.91  
% 1.62/1.91  % Reading from file /tmp/Prover9_14934_n017.cluster.edu
% 1.62/1.91  
% 1.62/1.91  set(prolog_style_variables).
% 1.62/1.91  set(auto2).
% 1.62/1.91      % set(auto2) -> set(auto).
% 1.62/1.91      % set(auto) -> set(auto_inference).
% 1.62/1.91      % set(auto) -> set(auto_setup).
% 1.62/1.91      % set(auto_setup) -> set(predicate_elim).
% 1.62/1.91      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.62/1.91      % set(auto) -> set(auto_limits).
% 1.62/1.91      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.62/1.91      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.62/1.91      % set(auto) -> set(auto_denials).
% 1.62/1.91      % set(auto) -> set(auto_process).
% 1.62/1.91      % set(auto2) -> assign(new_constants, 1).
% 1.62/1.91      % set(auto2) -> assign(fold_denial_max, 3).
% 1.62/1.91      % set(auto2) -> assign(max_weight, "200.000").
% 1.62/1.91      % set(auto2) -> assign(max_hours, 1).
% 1.62/1.91      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.62/1.91      % set(auto2) -> assign(max_seconds, 0).
% 1.62/1.91      % set(auto2) -> assign(max_minutes, 5).
% 1.62/1.91      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.62/1.91      % set(auto2) -> set(sort_initial_sos).
% 1.62/1.91      % set(auto2) -> assign(sos_limit, -1).
% 1.62/1.91      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.62/1.91      % set(auto2) -> assign(max_megs, 400).
% 1.62/1.91      % set(auto2) -> assign(stats, some).
% 1.62/1.91      % set(auto2) -> clear(echo_input).
% 1.62/1.91      % set(auto2) -> set(quiet).
% 1.62/1.91      % set(auto2) -> clear(print_initial_clauses).
% 1.62/1.91      % set(auto2) -> clear(print_given).
% 1.62/1.91  assign(lrs_ticks,-1).
% 1.62/1.91  assign(sos_limit,10000).
% 1.62/1.91  assign(order,kbo).
% 1.62/1.91  set(lex_order_vars).
% 1.62/1.91  clear(print_given).
% 1.62/1.91  
% 1.62/1.91  % formulas(sos).  % not echoed (2775 formulas)
% 1.62/1.91  
% 1.62/1.91  ============================== end of input ==========================
% 1.62/1.91  
% 1.62/1.91  % From the command line: assign(max_seconds, 300).
% 1.62/1.91  
% 1.62/1.91  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.62/1.91  
% 1.62/1.91  % Formulas that are not ordinary clauses:
% 1.62/1.91  
% 1.62/1.91  ============================== end of process non-clausal formulas ===
% 1.62/1.91  
% 1.62/1.91  ============================== PROCESS INITIAL CLAUSES ===============
% 1.62/1.91  
% 1.62/1.91  ============================== PREDICATE ELIMINATION =================
% 1.62/1.91  1 class_Orderings_Oorder(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_31) # label(axiom).  [assumption].
% 1.62/1.91  2 -class_Orderings_Oorder(A) | c_lessequals(B,B,A) # label(cls_Orderings_Oorder__class_Oaxioms__1_0) # label(axiom).  [assumption].
% 1.62/1.91  Derived: c_lessequals(A,A,tc_IntDef_Oint).  [resolve(1,a,2,a)].
% 1.62/1.91  3 class_Orderings_Oorder(tc_nat) # label(clsarity_nat_3) # label(axiom).  [assumption].
% 1.62/1.91  Derived: c_lessequals(A,A,tc_nat).  [resolve(3,a,2,a)].
% 1.62/1.91  4 class_Orderings_Oorder(tc_set(A)) # label(clsarity_set_2) # label(axiom).  [assumption].
% 1.62/1.91  Derived: c_lessequals(A,A,tc_set(B)).  [resolve(4,a,2,a)].
% 1.62/1.91  5 -class_LOrder_Ojoin__semilorder(A) | class_Orderings_Oorder(A) # label(clsrel_LOrder_Ojoin__semilorder_1) # label(axiom).  [assumption].
% 1.62/1.91  Derived: -class_LOrder_Ojoin__semilorder(A) | c_lessequals(B,B,A).  [resolve(5,b,2,a)].
% 1.62/1.91  6 -class_LOrder_Olorder(A) | class_Orderings_Oorder(A) # label(clsrel_LOrder_Olorder_2) # label(axiom).  [assumption].
% 1.62/1.91  Derived: -class_LOrder_Olorder(A) | c_lessequals(B,B,A).  [resolve(6,b,2,a)].
% 1.62/1.91  7 -class_LOrder_Omeet__semilorder(A) | class_Orderings_Oorder(A) # label(clsrel_LOrder_Omeet__semilorder_1) # label(axiom).  [assumption].
% 1.62/1.91  Derived: -class_LOrder_Omeet__semilorder(A) | c_lessequals(B,B,A).  [resolve(7,b,2,a)].
% 1.62/1.91  8 -class_OrderedGroup_Olordered__ab__group(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group_8) # label(axiom).  [assumption].
% 1.62/1.91  Derived: -class_OrderedGroup_Olordered__ab__group(A) | c_lessequals(B,B,A).  [resolve(8,b,2,a)].
% 1.62/1.91  9 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_17) # label(axiom).  [assumption].
% 1.62/1.91  Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | c_lessequals(B,B,A).  [resolve(9,b,2,a)].
% 1.62/1.92  10 -class_OrderedGroup_Olordered__ab__group__join(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_8) # label(axiom).  [assumption].
% 1.62/1.92  Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | c_lessequals(B,B,A).  [resolve(10,b,2,a)].
% 1.62/1.92  11 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_8) # label(axiom).  [assumption].
% 1.62/1.92  Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | c_lessequals(B,B,A).  [resolve(11,b,2,a)].
% 1.62/1.92  12 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) # label(axiom).  [assumption].
% 1.62/1.92  Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | c_lessequals(B,B,A).  [resolve(12,b,2,a)].
% 1.62/1.92  13 -class_OrderedGroup_Opordered__ab__group__add(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_10) # label(axiom).  [assumption].
% 1.62/1.92  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | c_lessequals(B,B,A).  [resolve(13,b,2,a)].
% 1.62/1.92  14 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) # label(axiom).  [assumption].
% 1.62/1.92  Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | c_lessequals(B,B,A).  [resolve(14,b,2,a)].
% 1.62/1.92  15 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) # label(axiom).  [assumption].
% 1.62/1.92  Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | c_lessequals(B,B,A).  [resolve(15,b,2,a)].
% 1.62/1.92  16 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) # label(axiom).  [assumption].
% 1.62/1.92  Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | c_lessequals(B,B,A).  [resolve(16,b,2,a)].
% 1.62/1.92  17 -class_Orderings_Olinorder(A) | class_Orderings_Oorder(A) # label(clsrel_Orderings_Olinorder_4) # label(axiom).  [assumption].
% 1.62/1.92  Derived: -class_Orderings_Olinorder(A) | c_lessequals(B,B,A).  [resolve(17,b,2,a)].
% 1.62/1.92  18 -class_Orderings_Oorder(A) | class_Orderings_Oord(A) # label(clsrel_Orderings_Oorder_0) # label(axiom).  [assumption].
% 1.62/1.92  Derived: class_Orderings_Oord(tc_IntDef_Oint).  [resolve(18,a,1,a)].
% 1.62/1.92  Derived: class_Orderings_Oord(tc_nat).  [resolve(18,a,3,a)].
% 1.62/1.92  Derived: class_Orderings_Oord(tc_set(A)).  [resolve(18,a,4,a)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_LOrder_Ojoin__semilorder(A).  [resolve(18,a,5,b)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_LOrder_Olorder(A).  [resolve(18,a,6,b)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_LOrder_Omeet__semilorder(A).  [resolve(18,a,7,b)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(18,a,8,b)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(18,a,9,b)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(18,a,10,b)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(18,a,11,b)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(18,a,12,b)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(18,a,13,b)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__semigroup__add(A).  [resolve(18,a,14,b)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A).  [resolve(18,a,15,b)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A).  [resolve(18,a,16,b)].
% 1.62/1.92  Derived: class_Orderings_Oord(A) | -class_Orderings_Olinorder(A).  [resolve(18,a,17,b)].
% 1.62/1.92  19 -class_Ring__and__Field_Olordered__ring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Olordered__ring_10) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Olordered__ring(A) | c_lessequals(B,B,A).  [resolve(19,b,2,a)].
% 1.71/1.98  20 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | c_lessequals(B,B,A).  [resolve(20,b,2,a)].
% 1.71/1.98  21 -class_Ring__and__Field_Oordered__field(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__field_58) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Oordered__field(A) | c_lessequals(B,B,A).  [resolve(21,b,2,a)].
% 1.71/1.98  22 -class_Ring__and__Field_Oordered__idom(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__idom_44) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Oordered__idom(A) | c_lessequals(B,B,A).  [resolve(22,b,2,a)].
% 1.71/1.98  23 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_26) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | c_lessequals(B,B,A).  [resolve(23,b,2,a)].
% 1.71/1.98  24 -class_Ring__and__Field_Oordered__semidom(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__semidom_38) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Oordered__semidom(A) | c_lessequals(B,B,A).  [resolve(24,b,2,a)].
% 1.71/1.98  25 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_17) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | c_lessequals(B,B,A).  [resolve(25,b,2,a)].
% 1.71/1.98  26 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | c_lessequals(B,B,A).  [resolve(26,b,2,a)].
% 1.71/1.98  27 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_11) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | c_lessequals(B,B,A).  [resolve(27,b,2,a)].
% 1.71/1.98  28 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_23) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | c_lessequals(B,B,A).  [resolve(28,b,2,a)].
% 1.71/1.98  29 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_13) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | c_lessequals(B,B,A).  [resolve(29,b,2,a)].
% 1.71/1.98  30 -class_Ring__and__Field_Opordered__ring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Opordered__ring_17) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Opordered__ring(A) | c_lessequals(B,B,A).  [resolve(30,b,2,a)].
% 1.71/1.98  31 -class_Ring__and__Field_Opordered__semiring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Opordered__semiring_10) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Ring__and__Field_Opordered__semiring(A) | c_lessequals(B,B,A).  [resolve(31,b,2,a)].
% 1.71/1.98  32 -class_Wellfounded__Recursion_Owellorder(A) | class_Orderings_Oorder(A) # label(clsrel_Wellfounded__Recursion_Owellorder_1) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -class_Wellfounded__Recursion_Owellorder(A) | c_lessequals(B,B,A).  [resolve(32,b,2,a)].
% 1.71/1.98  Derived: -class_Wellfounded__Recursion_Owellorder(A) | class_Orderings_Oord(A).  [resolve(32,b,18,a)].
% 1.71/1.98  33 -class_Orderings_Oorder(A) | -c_less(B,B,A) # label(cls_Orderings_Oorder__less__irrefl_0) # label(axiom).  [assumption].
% 1.71/1.98  Derived: -c_less(A,A,tc_IntDef_Oint).  [resolve(33,a,1,a)].
% 1.71/1.98  Derived: -c_less(A,A,tc_nat).  [resolve(33,a,3,a)].
% 1.71/1.98  Derived: -c_less(A,A,tc_set(B)).  [resolve(33,a,4,a)].
% 1.71/1.98  Derived: -c_less(A,A,B) | -class_LOrder_Ojoin__semilorder(B).  [resolve(33,a,5,b)].
% 1.77/2.00  Derived: -c_less(A,A,B) | -class_LOrder_Olorder(B).  [resolve(33,a,6,b)].
% 1.77/2.00  Derived: -c_less(A,A,B) | -class_LOrder_Omeet__semilorder(B).  [resolve(33,a,7,b)].
% 1.77/2.00  Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(33,a,8,b)].
% 1.77/2.00  Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(33,a,9,b)].
% 1.77/2.00  Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(33,a,10,b)].
% 1.77/2.00  Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(33,a,11,b)].
% 1.77/2.00  Derived: -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(33,a,12,b)].
% 1.77/2.00  Derived: -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(33,a,13,b)].
% 1.77/2.00  Derived: -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add(B).  [resolve(33,a,14,b)].
% 1.77/2.00  Derived: -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(33,a,15,b)].
% 1.77/2.00  Derived: -c_less(A,A,B) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(B).  [resolve(33,a,16,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Orderings_Olinorder(B).  [resolve(33,a,17,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(33,a,19,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(33,a,20,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(33,a,21,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(33,a,22,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(33,a,23,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(33,a,24,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(33,a,25,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(33,a,26,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(33,a,27,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(33,a,28,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(33,a,29,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(33,a,30,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(33,a,31,b)].
% 1.77/2.01  Derived: -c_less(A,A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(33,a,32,b)].
% 1.77/2.01  34 -class_Orderings_Oorder(A) | -c_less(B,C,A) | c_SetInterval_OatLeastAtMost(C,B,A) = c_emptyset # label(cls_SetInterval_OatLeastAtMost__empty_0) # label(axiom).  [assumption].
% 1.77/2.01  Derived: -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(34,a,1,a)].
% 1.77/2.01  Derived: -c_less(A,B,tc_nat) | c_SetInterval_OatLeastAtMost(B,A,tc_nat) = c_emptyset.  [resolve(34,a,3,a)].
% 1.77/2.01  Derived: -c_less(A,B,tc_set(C)) | c_SetInterval_OatLeastAtMost(B,A,tc_set(C)) = c_emptyset.  [resolve(34,a,4,a)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_LOrder_Ojoin__semilorder(C).  [resolve(34,a,5,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_LOrder_Olorder(C).  [resolve(34,a,6,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_LOrder_Omeet__semilorder(C).  [resolve(34,a,7,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(34,a,8,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(34,a,9,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(34,a,10,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(34,a,11,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(34,a,12,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(34,a,13,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add(C).  [resolve(34,a,14,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(34,a,15,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(34,a,16,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Orderings_Olinorder(C).  [resolve(34,a,17,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(34,a,19,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(34,a,20,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(34,a,21,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(34,a,22,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(34,a,23,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(34,a,24,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(34,a,25,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(34,a,26,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(34,a,27,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(34,a,28,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(34,a,29,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(34,a,30,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__semiring(C).  [resolve(34,a,31,b)].
% 1.77/2.01  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(34,a,32,b)].
% 1.77/2.01  35 -class_Orderings_Oorder(A) | c_SetInterval_OatLeastAtMost(B,B,A) = c_insert(B,c_emptyset,A) # label(cls_SetInterval_OatLeastAtMost__singleton_0) # label(axiom).  [assumption].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_IntDef_Oint) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(35,a,1,a)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_nat) = c_insert(A,c_emptyset,tc_nat).  [resolve(35,a,3,a)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_set(B)) = c_insert(A,c_emptyset,tc_set(B)).  [resolve(35,a,4,a)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_LOrder_Ojoin__semilorder(B).  [resolve(35,a,5,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_LOrder_Olorder(B).  [resolve(35,a,6,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_LOrder_Omeet__semilorder(B).  [resolve(35,a,7,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(35,a,8,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(35,a,9,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(35,a,10,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(35,a,11,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(35,a,12,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(35,a,13,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__semigroup__add(B).  [resolve(35,a,14,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(35,a,15,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(B).  [resolve(35,a,16,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Orderings_Olinorder(B).  [resolve(35,a,17,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(35,a,19,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(35,a,20,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(35,a,21,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(35,a,22,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(35,a,23,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(35,a,24,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(35,a,25,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(35,a,26,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(35,a,27,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(35,a,28,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(35,a,29,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(35,a,30,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(35,a,31,b)].
% 1.77/2.01  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(35,a,32,b)].
% 1.77/2.01  36 -class_Orderings_Oorder(A) | -c_lessequals(B,C,A) | c_SetInterval_OatLeastLessThan(C,B,A) = c_emptyset # label(cls_SetInterval_OatLeastLessThan__empty_0) # label(axiom).  [assumption].
% 1.77/2.01  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(36,a,1,a)].
% 1.77/2.01  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OatLeastLessThan(B,A,tc_nat) = c_emptyset.  [resolve(36,a,3,a)].
% 1.77/2.01  Derived: -c_lessequals(A,B,tc_set(C)) | c_SetInterval_OatLeastLessThan(B,A,tc_set(C)) = c_emptyset.  [resolve(36,a,4,a)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_LOrder_Ojoin__semilorder(C).  [resolve(36,a,5,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_LOrder_Olorder(C).  [resolve(36,a,6,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_LOrder_Omeet__semilorder(C).  [resolve(36,a,7,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(36,a,8,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(36,a,9,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(36,a,10,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(36,a,11,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(36,a,12,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(36,a,13,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add(C).  [resolve(36,a,14,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(36,a,15,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(36,a,16,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Orderings_Olinorder(C).  [resolve(36,a,17,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(36,a,19,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(36,a,20,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(36,a,21,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(36,a,22,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(36,a,23,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(36,a,24,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(36,a,25,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(36,a,26,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(36,a,27,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(36,a,28,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(36,a,29,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(36,a,30,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__semiring(C).  [resolve(36,a,31,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(36,a,32,b)].
% 1.77/2.01  37 -class_Orderings_Oorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A) # label(cls_SetInterval_OatLeast__subset__iff_0) # label(axiom).  [assumption].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(37,a,1,a)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat).  [resolve(37,a,3,a)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_set(B)),c_SetInterval_OatLeast(C,tc_set(B)),tc_set(tc_set(B))) | c_lessequals(C,A,tc_set(B)).  [resolve(37,a,4,a)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_LOrder_Ojoin__semilorder(B).  [resolve(37,a,5,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_LOrder_Olorder(B).  [resolve(37,a,6,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_LOrder_Omeet__semilorder(B).  [resolve(37,a,7,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(37,a,8,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(37,a,9,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(37,a,10,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(37,a,11,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(37,a,12,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(37,a,13,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add(B).  [resolve(37,a,14,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(37,a,15,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(B).  [resolve(37,a,16,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Orderings_Olinorder(B).  [resolve(37,a,17,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(37,a,19,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(37,a,20,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(37,a,21,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(37,a,22,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(37,a,23,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(37,a,24,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(37,a,25,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(37,a,26,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(37,a,27,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(37,a,28,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(37,a,29,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(37,a,30,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(37,a,31,b)].
% 1.77/2.01  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(37,a,32,b)].
% 1.77/2.01  38 -class_Orderings_Oorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)) # label(cls_SetInterval_OatLeast__subset__iff_1) # label(axiom).  [assumption].
% 1.77/2.01  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(38,a,1,a)].
% 1.77/2.01  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)).  [resolve(38,a,3,a)].
% 1.77/2.01  Derived: -c_lessequals(A,B,tc_set(C)) | c_lessequals(c_SetInterval_OatLeast(B,tc_set(C)),c_SetInterval_OatLeast(A,tc_set(C)),tc_set(tc_set(C))).  [resolve(38,a,4,a)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_LOrder_Ojoin__semilorder(C).  [resolve(38,a,5,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_LOrder_Olorder(C).  [resolve(38,a,6,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_LOrder_Omeet__semilorder(C).  [resolve(38,a,7,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(38,a,8,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(38,a,9,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(38,a,10,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(38,a,11,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(38,a,12,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(38,a,13,b)].
% 1.77/2.01  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add(C).  [resolve(38,a,14,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(38,a,15,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(38,a,16,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Orderings_Olinorder(C).  [resolve(38,a,17,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(38,a,19,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(38,a,20,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(38,a,21,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(38,a,22,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(38,a,23,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(38,a,24,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(38,a,25,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(38,a,26,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(38,a,27,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(38,a,28,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(38,a,29,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(38,a,30,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__semiring(C).  [resolve(38,a,31,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(38,a,32,b)].
% 1.77/2.02  39 -class_Orderings_Oorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A) # label(cls_SetInterval_OatMost__subset__iff_0) # label(axiom).  [assumption].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(39,a,1,a)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat).  [resolve(39,a,3,a)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_set(B)),c_SetInterval_OatMost(C,tc_set(B)),tc_set(tc_set(B))) | c_lessequals(A,C,tc_set(B)).  [resolve(39,a,4,a)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_LOrder_Ojoin__semilorder(B).  [resolve(39,a,5,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_LOrder_Olorder(B).  [resolve(39,a,6,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_LOrder_Omeet__semilorder(B).  [resolve(39,a,7,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(39,a,8,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(39,a,9,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(39,a,10,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(39,a,11,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(39,a,12,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(39,a,13,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__semigroup__add(B).  [resolve(39,a,14,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(39,a,15,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(B).  [resolve(39,a,16,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Orderings_Olinorder(B).  [resolve(39,a,17,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(39,a,19,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(39,a,20,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(39,a,21,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(39,a,22,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(39,a,23,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(39,a,24,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(39,a,25,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(39,a,26,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(39,a,27,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(39,a,28,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(39,a,29,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(39,a,30,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(39,a,31,b)].
% 1.77/2.02  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(39,a,32,b)].
% 1.77/2.02  40 -class_Orderings_Oorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) # label(cls_SetInterval_OatMost__subset__iff_1) # label(axiom).  [assumption].
% 1.77/2.02  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(40,a,1,a)].
% 1.77/2.02  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)).  [resolve(40,a,3,a)].
% 1.77/2.02  Derived: -c_lessequals(A,B,tc_set(C)) | c_lessequals(c_SetInterval_OatMost(A,tc_set(C)),c_SetInterval_OatMost(B,tc_set(C)),tc_set(tc_set(C))).  [resolve(40,a,4,a)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_LOrder_Ojoin__semilorder(C).  [resolve(40,a,5,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_LOrder_Olorder(C).  [resolve(40,a,6,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_LOrder_Omeet__semilorder(C).  [resolve(40,a,7,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(40,a,8,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(40,a,9,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(40,a,10,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(40,a,11,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(40,a,12,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(40,a,13,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add(C).  [resolve(40,a,14,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(40,a,15,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(40,a,16,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Orderings_Olinorder(C).  [resolve(40,a,17,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(40,a,19,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(40,a,20,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(40,a,21,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(40,a,22,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(40,a,23,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(40,a,24,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(40,a,25,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(40,a,26,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(40,a,27,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(40,a,28,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(40,a,29,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(40,a,30,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__semiring(C).  [resolve(40,a,31,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(40,a,32,b)].
% 1.77/2.02  41 -class_Orderings_Oorder(A) | -c_lessequals(B,C,A) | c_SetInterval_OgreaterThanAtMost(C,B,A) = c_emptyset # label(cls_SetInterval_OgreaterThanAtMost__empty_0) # label(axiom).  [assumption].
% 1.77/2.02  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OgreaterThanAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(41,a,1,a)].
% 1.77/2.02  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OgreaterThanAtMost(B,A,tc_nat) = c_emptyset.  [resolve(41,a,3,a)].
% 1.77/2.02  Derived: -c_lessequals(A,B,tc_set(C)) | c_SetInterval_OgreaterThanAtMost(B,A,tc_set(C)) = c_emptyset.  [resolve(41,a,4,a)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_LOrder_Ojoin__semilorder(C).  [resolve(41,a,5,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_LOrder_Olorder(C).  [resolve(41,a,6,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_LOrder_Omeet__semilorder(C).  [resolve(41,a,7,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(41,a,8,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(41,a,9,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(41,a,10,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(41,a,11,b)].
% 1.77/2.02  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(41,a,12,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(41,a,13,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add(C).  [resolve(41,a,14,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(41,a,15,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(41,a,16,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Orderings_Olinorder(C).  [resolve(41,a,17,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(41,a,19,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(41,a,20,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(41,a,21,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(41,a,22,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(41,a,23,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(41,a,24,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(41,a,25,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(41,a,26,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(41,a,27,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(41,a,28,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(41,a,29,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(41,a,30,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__semiring(C).  [resolve(41,a,31,b)].
% 1.77/2.03  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(41,a,32,b)].
% 1.77/2.03  42 -class_Orderings_Oorder(A) | c_minus(c_insert(B,c_emptyset,A),c_SetInterval_OlessThan(B,A),tc_set(A)) = c_insert(B,c_emptyset,A) # label(cls_SetInterval_Osingle__Diff__lessThan_0) # label(axiom).  [assumption].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,tc_IntDef_Oint),c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(42,a,1,a)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,tc_nat),c_SetInterval_OlessThan(A,tc_nat),tc_set(tc_nat)) = c_insert(A,c_emptyset,tc_nat).  [resolve(42,a,3,a)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,tc_set(B)),c_SetInterval_OlessThan(A,tc_set(B)),tc_set(tc_set(B))) = c_insert(A,c_emptyset,tc_set(B)).  [resolve(42,a,4,a)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_LOrder_Ojoin__semilorder(B).  [resolve(42,a,5,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_LOrder_Olorder(B).  [resolve(42,a,6,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_LOrder_Omeet__semilorder(B).  [resolve(42,a,7,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(42,a,8,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(42,a,9,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(42,a,10,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(42,a,11,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(42,a,12,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(42,a,13,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__semigroup__add(B).  [resolve(42,a,14,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(42,a,15,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(B).  [resolve(42,a,16,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Orderings_Olinorder(B).  [resolve(42,a,17,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(42,a,19,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(42,a,20,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(42,a,21,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(42,a,22,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(42,a,23,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(42,a,24,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(42,a,25,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(42,a,26,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(42,a,27,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(42,a,28,b)].
% 1.77/2.03  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(42,a,29,b)].
% 2.15/2.38  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(42,a,30,b)].
% 2.15/2.38  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(42,a,31,b)].
% 2.15/2.38  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(42,a,32,b)].
% 2.15/2.38  43 -class_HOL_Oone(A) | -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) # label(cls_NatSimprocs_Oequation__minus__iff__1_0) # label(axiom).  [assumption].
% 2.15/2.38  44 class_HOL_Oone(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_1) # label(axiom).  [assumption].
% 2.15/2.38  45 class_HOL_Oone(tc_nat) # label(clsarity_nat_0) # label(axiom).  [assumption].
% 2.15/2.38  46 -class_Numeral_Onumber__ring(A) | class_HOL_Oone(A) # label(clsrel_Numeral_Onumber__ring_20) # label(axiom).  [assumption].
% 2.15/2.38  47 -class_OrderedGroup_Ocomm__monoid__mult(A) | class_HOL_Oone(A) # label(clsrel_OrderedGroup_Ocomm__monoid__mult_0) # label(axiom).  [assumption].
% 2.15/2.38  48 -class_OrderedGroup_Omonoid__mult(A) | class_HOL_Oone(A) # label(clsrel_OrderedGroup_Omonoid__mult_0) # label(axiom).  [assumption].
% 2.15/2.38  49 -class_Power_Orecpower(A) | class_HOL_Oone(A) # label(clsrel_Power_Orecpower_2) # label(axiom).  [assumption].
% 2.15/2.38  50 -class_Ring__and__Field_Oaxclass__0__neq__1(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Oaxclass__0__neq__1_1) # label(axiom).  [assumption].
% 2.15/2.38  51 -class_Ring__and__Field_Ocomm__ring__1(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_25) # label(axiom).  [assumption].
% 2.15/2.38  52 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_2) # label(axiom).  [assumption].
% 2.15/2.38  53 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_15) # label(axiom).  [assumption].
% 2.15/2.38  54 -class_Ring__and__Field_Ofield(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Ofield_13) # label(axiom).  [assumption].
% 2.15/2.38  55 -class_Ring__and__Field_Oidom(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Oidom_13) # label(axiom).  [assumption].
% 2.15/2.38  56 -class_Ring__and__Field_Oordered__field(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Oordered__field_16) # label(axiom).  [assumption].
% 2.15/2.38  57 -class_Ring__and__Field_Oordered__idom(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Oordered__idom_13) # label(axiom).  [assumption].
% 2.15/2.38  58 -class_Ring__and__Field_Oordered__semidom(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Oordered__semidom_7) # label(axiom).  [assumption].
% 2.15/2.38  59 -class_Ring__and__Field_Oring__1(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Oring__1_18) # label(axiom).  [assumption].
% 2.15/2.38  60 -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Osemiring__1_2) # label(axiom).  [assumption].
% 2.15/2.38  61 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_10) # label(axiom).  [assumption].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) | c_uminus(A,tc_IntDef_Oint) != c_1 | A = c_uminus(c_1,tc_IntDef_Oint).  [resolve(43,a,44,a)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(tc_nat) | c_uminus(A,tc_nat) != c_1 | A = c_uminus(c_1,tc_nat).  [resolve(43,a,45,a)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(43,a,46,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(43,a,47,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(43,a,48,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Power_Orecpower(A).  [resolve(43,a,49,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(43,a,50,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(43,a,51,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(43,a,52,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(43,a,53,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(43,a,54,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(43,a,55,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(43,a,56,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(43,a,57,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(43,a,58,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(43,a,59,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(43,a,60,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(43,a,61,b)].
% 2.15/2.38  62 -class_HOL_Oone(A) | -class_OrderedGroup_Oab__group__add(A) | c_uminus(c_uminus(c_1,A),A) = c_1 # label(cls_NatSimprocs_Oequation__minus__iff__1_1) # label(axiom).  [assumption].
% 2.15/2.38  63 -class_HOL_Oone(A) | -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) # label(cls_NatSimprocs_Ole__minus__iff__1_0) # label(axiom).  [assumption].
% 2.15/2.38  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(63,a,44,a)].
% 2.15/2.38  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(c_1,c_uminus(A,tc_nat),tc_nat) | c_lessequals(A,c_uminus(c_1,tc_nat),tc_nat).  [resolve(63,a,45,a)].
% 2.15/2.38  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(63,a,46,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(63,a,47,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(63,a,48,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Power_Orecpower(A).  [resolve(63,a,49,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(63,a,50,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(63,a,51,b)].
% 2.15/2.38  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(63,a,52,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(63,a,53,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(63,a,54,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(63,a,55,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(63,a,56,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(63,a,57,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(63,a,58,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(63,a,59,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(63,a,60,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(63,a,61,b)].
% 2.15/2.39  64 -class_HOL_Oone(A) | -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) # label(cls_NatSimprocs_Ole__minus__iff__1_1) # label(axiom).  [assumption].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(64,a,44,a)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(A,c_uminus(c_1,tc_nat),tc_nat) | c_lessequals(c_1,c_uminus(A,tc_nat),tc_nat).  [resolve(64,a,45,a)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(64,a,46,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(64,a,47,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(64,a,48,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Power_Orecpower(A).  [resolve(64,a,49,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(64,a,50,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(64,a,51,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(64,a,52,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(64,a,53,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(64,a,54,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(64,a,55,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(64,a,56,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(64,a,57,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(64,a,58,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(64,a,59,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(64,a,60,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(64,a,61,b)].
% 2.15/2.39  65 -class_HOL_Oone(A) | -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) # label(cls_NatSimprocs_Oless__minus__iff__1_0) # label(axiom).  [assumption].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(65,a,44,a)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_1,c_uminus(A,tc_nat),tc_nat) | c_less(A,c_uminus(c_1,tc_nat),tc_nat).  [resolve(65,a,45,a)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(65,a,46,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(65,a,47,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(65,a,48,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Power_Orecpower(A).  [resolve(65,a,49,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(65,a,50,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(65,a,51,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(65,a,52,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(65,a,53,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(65,a,54,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(65,a,55,b)].
% 2.15/2.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(65,a,56,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(65,a,57,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(65,a,58,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(65,a,59,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(65,a,60,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(65,a,61,b)].
% 2.15/2.40  66 -class_HOL_Oone(A) | -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) # label(cls_NatSimprocs_Oless__minus__iff__1_1) # label(axiom).  [assumption].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(66,a,44,a)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(A,c_uminus(c_1,tc_nat),tc_nat) | c_less(c_1,c_uminus(A,tc_nat),tc_nat).  [resolve(66,a,45,a)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(66,a,46,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(66,a,47,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(66,a,48,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Power_Orecpower(A).  [resolve(66,a,49,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(66,a,50,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(66,a,51,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(66,a,52,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(66,a,53,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(66,a,54,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(66,a,55,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(66,a,56,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(66,a,57,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(66,a,58,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(66,a,59,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(66,a,60,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(66,a,61,b)].
% 2.15/2.40  67 -class_HOL_Oone(A) | -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) # label(cls_NatSimprocs_Ominus__le__iff__1_0) # label(axiom).  [assumption].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | c_lessequals(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint).  [resolve(67,a,44,a)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(c_uminus(A,tc_nat),c_1,tc_nat) | c_lessequals(c_uminus(c_1,tc_nat),A,tc_nat).  [resolve(67,a,45,a)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Numeral_Onumber__ring(A).  [resolve(67,a,46,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(67,a,47,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(67,a,48,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Power_Orecpower(A).  [resolve(67,a,49,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(67,a,50,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(67,a,51,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(67,a,52,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(67,a,53,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(67,a,54,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(67,a,55,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(67,a,56,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(67,a,57,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(67,a,58,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(67,a,59,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(67,a,60,b)].
% 2.15/2.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(67,a,61,b)].
% 2.15/2.41  68 -class_HOL_Oone(A) | -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) # label(cls_NatSimprocs_Ominus__le__iff__1_1) # label(axiom).  [assumption].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(68,a,44,a)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(c_uminus(c_1,tc_nat),A,tc_nat) | c_lessequals(c_uminus(A,tc_nat),c_1,tc_nat).  [resolve(68,a,45,a)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(68,a,46,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(68,a,47,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(68,a,48,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Power_Orecpower(A).  [resolve(68,a,49,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(68,a,50,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(68,a,51,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(68,a,52,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(68,a,53,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(68,a,54,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(68,a,55,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(68,a,56,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(68,a,57,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(68,a,58,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(68,a,59,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(68,a,60,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(68,a,61,b)].
% 2.15/2.41  69 -class_HOL_Oone(A) | -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) # label(cls_NatSimprocs_Ominus__less__iff__1_0) # label(axiom).  [assumption].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | c_less(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint).  [resolve(69,a,44,a)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_uminus(A,tc_nat),c_1,tc_nat) | c_less(c_uminus(c_1,tc_nat),A,tc_nat).  [resolve(69,a,45,a)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Numeral_Onumber__ring(A).  [resolve(69,a,46,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(69,a,47,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(69,a,48,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Power_Orecpower(A).  [resolve(69,a,49,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(69,a,50,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(69,a,51,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(69,a,52,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(69,a,53,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(69,a,54,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(69,a,55,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(69,a,56,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(69,a,57,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(69,a,58,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(69,a,59,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(69,a,60,b)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(69,a,61,b)].
% 2.15/2.41  70 -class_HOL_Oone(A) | -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) # label(cls_NatSimprocs_Ominus__less__iff__1_1) # label(axiom).  [assumption].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(70,a,44,a)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_uminus(c_1,tc_nat),A,tc_nat) | c_less(c_uminus(A,tc_nat),c_1,tc_nat).  [resolve(70,a,45,a)].
% 2.15/2.41  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(70,a,46,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(70,a,47,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(70,a,48,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Power_Orecpower(A).  [resolve(70,a,49,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(70,a,50,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(70,a,51,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(70,a,52,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(70,a,53,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(70,a,54,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(70,a,55,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(70,a,56,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(70,a,57,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(70,a,58,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(70,a,59,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(70,a,60,b)].
% 2.33/2.59  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(70,a,61,b)].
% 2.33/2.59  71 -class_Ring__and__Field_Osemiring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring_0) # label(axiom).  [assumption].
% 2.33/2.59  72 class_Ring__and__Field_Osemiring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_10) # label(axiom).  [assumption].
% 2.33/2.59  73 class_Ring__and__Field_Osemiring(tc_nat) # label(clsarity_nat_18) # label(axiom).  [assumption].
% 2.33/2.59  74 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Numeral_Onumber__ring_6) # label(axiom).  [assumption].
% 2.33/2.59  75 -class_Power_Orecpower(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Power_Orecpower_10) # label(axiom).  [assumption].
% 2.33/2.59  76 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__ring_4) # label(axiom).  [assumption].
% 2.33/2.59  77 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_10) # label(axiom).  [assumption].
% 2.33/2.59  78 -class_Ring__and__Field_Ocomm__semiring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_6) # label(axiom).  [assumption].
% 2.33/2.59  79 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_2) # label(axiom).  [assumption].
% 2.33/2.59  80 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_4) # label(axiom).  [assumption].
% 2.33/2.59  81 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_7) # label(axiom).  [assumption].
% 2.33/2.59  82 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_8) # label(axiom).  [assumption].
% 2.33/2.59  83 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ofield_20) # label(axiom).  [assumption].
% 2.33/2.59  84 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oidom_20) # label(axiom).  [assumption].
% 2.33/2.59  85 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Olordered__ring_14) # label(axiom).  [assumption].
% 2.33/2.59  86 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_4) # label(axiom).  [assumption].
% 2.33/2.59  87 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oordered__field_23) # label(axiom).  [assumption].
% 2.33/2.59  88 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oordered__idom_20) # label(axiom).  [assumption].
% 2.33/2.59  89 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_7) # label(axiom).  [assumption].
% 2.33/2.59  90 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oordered__semidom_14) # label(axiom).  [assumption].
% 2.33/2.59  91 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_1) # label(axiom).  [assumption].
% 2.33/2.59  92 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_5) # label(axiom).  [assumption].
% 2.33/2.59  93 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_2) # label(axiom).  [assumption].
% 2.33/2.59  94 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_10) # label(axiom).  [assumption].
% 2.33/2.59  95 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_4) # label(axiom).  [assumption].
% 2.33/2.59  96 -class_Ring__and__Field_Opordered__ring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Opordered__ring_7) # label(axiom).  [assumption].
% 2.33/2.59  97 -class_Ring__and__Field_Opordered__semiring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Opordered__semiring_1) # label(axiom).  [assumption].
% 2.33/2.59  98 -class_Ring__and__Field_Oring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oring_0) # label(axiom).  [assumption].
% 2.33/2.59  99 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oring__1_7) # label(axiom).  [assumption].
% 2.33/2.59  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(71,a,72,a)].
% 2.33/2.59  Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat).  [resolve(71,a,73,a)].
% 2.33/2.59  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(71,a,74,b)].
% 2.33/2.59  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A).  [resolve(71,a,75,b)].
% 2.33/2.59  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(71,a,76,b)].
% 2.33/2.59  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(71,a,77,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(71,a,78,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(71,a,79,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(71,a,80,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(71,a,81,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(71,a,82,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(71,a,83,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(71,a,84,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(71,a,85,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(71,a,86,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(71,a,87,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(71,a,88,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(71,a,89,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(71,a,90,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(71,a,91,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(71,a,92,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(71,a,93,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(71,a,94,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(71,a,95,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(71,a,96,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(71,a,97,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(71,a,98,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(71,a,99,b)].
% 2.33/2.60  100 -class_Ring__and__Field_Osemiring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring_1) # label(axiom).  [assumption].
% 2.33/2.60  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(100,a,72,a)].
% 2.33/2.60  Derived: class_OrderedGroup_Osemigroup__add(tc_nat).  [resolve(100,a,73,a)].
% 2.33/2.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(100,a,74,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A).  [resolve(100,a,75,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(100,a,76,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(100,a,77,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(100,a,78,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(100,a,79,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(100,a,80,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(100,a,81,b)].
% 2.33/2.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(100,a,82,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(100,a,83,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(100,a,84,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(100,a,85,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(100,a,86,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(100,a,87,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(100,a,88,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(100,a,89,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(100,a,90,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(100,a,91,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(100,a,92,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(100,a,93,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(100,a,94,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(100,a,95,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(100,a,96,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(100,a,97,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(100,a,98,b)].
% 2.39/2.62  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(100,a,99,b)].
% 2.39/2.62  101 -class_Ring__and__Field_Osemiring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Osemiring_2) # label(axiom).  [assumption].
% 2.39/2.62  Derived: class_HOL_Oplus(tc_IntDef_Oint).  [resolve(101,a,72,a)].
% 2.39/2.62  Derived: class_HOL_Oplus(tc_nat).  [resolve(101,a,73,a)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A).  [resolve(101,a,74,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Power_Orecpower(A).  [resolve(101,a,75,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(101,a,76,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(101,a,77,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(101,a,78,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(101,a,79,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(101,a,80,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(101,a,81,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(101,a,82,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A).  [resolve(101,a,83,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A).  [resolve(101,a,84,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(101,a,85,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(101,a,86,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(101,a,87,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(101,a,88,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(101,a,89,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(101,a,90,b)].
% 2.39/2.62  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(101,a,91,b)].
% 2.39/2.63  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(101,a,92,b)].
% 2.39/2.63  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(101,a,93,b)].
% 2.39/2.63  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(101,a,94,b)].
% 2.39/2.63  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(101,a,95,b)].
% 2.39/2.63  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(101,a,96,b)].
% 2.39/2.63  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(101,a,97,b)].
% 2.39/2.63  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oring(A).  [resolve(101,a,98,b)].
% 2.39/2.63  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(101,a,99,b)].
% 2.39/2.63  102 -class_Ring__and__Field_Osemiring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Osemiring_3) # label(axiom).  [assumption].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(102,a,72,a)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(tc_nat).  [resolve(102,a,73,a)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A).  [resolve(102,a,74,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Power_Orecpower(A).  [resolve(102,a,75,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(102,a,76,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(102,a,77,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(102,a,78,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(102,a,79,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(102,a,80,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(102,a,81,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(102,a,82,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ofield(A).  [resolve(102,a,83,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oidom(A).  [resolve(102,a,84,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(102,a,85,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(102,a,86,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(102,a,87,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(102,a,88,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(102,a,89,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(102,a,90,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(102,a,91,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(102,a,92,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(102,a,93,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(102,a,94,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(102,a,95,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(102,a,96,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(102,a,97,b)].
% 2.39/2.63  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oring(A).  [resolve(102,a,98,b)].
% 2.45/2.67  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(102,a,99,b)].
% 2.45/2.67  103 -class_Ring__and__Field_Osemiring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Osemiring_4) # label(axiom).  [assumption].
% 2.45/2.67  Derived: class_HOL_Otimes(tc_IntDef_Oint).  [resolve(103,a,72,a)].
% 2.45/2.67  Derived: class_HOL_Otimes(tc_nat).  [resolve(103,a,73,a)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Numeral_Onumber__ring(A).  [resolve(103,a,74,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Power_Orecpower(A).  [resolve(103,a,75,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(103,a,76,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(103,a,77,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(103,a,78,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(103,a,79,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(103,a,80,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(103,a,81,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(103,a,82,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ofield(A).  [resolve(103,a,83,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oidom(A).  [resolve(103,a,84,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(103,a,85,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(103,a,86,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(103,a,87,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(103,a,88,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(103,a,89,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(103,a,90,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(103,a,91,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(103,a,92,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(103,a,93,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(103,a,94,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(103,a,95,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(103,a,96,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(103,a,97,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oring(A).  [resolve(103,a,98,b)].
% 2.45/2.67  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(103,a,99,b)].
% 2.45/2.67  104 -class_Ring__and__Field_Osemiring__0(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Osemiring__0_0) # label(axiom).  [assumption].
% 2.45/2.67  105 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_1) # label(axiom).  [assumption].
% 2.45/2.67  106 -class_Ring__and__Field_Osemiring__1(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Osemiring__1_4) # label(axiom).  [assumption].
% 2.45/2.67  Derived: -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Oplus(A).  [resolve(106,b,101,a)].
% 2.45/2.67  107 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_3) # label(axiom).  [assumption].
% 2.45/2.67  Derived: -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Osemigroup__mult(A).  [resolve(107,b,102,a)].
% 2.45/2.67  Derived: -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Otimes(A).  [resolve(107,b,103,a)].
% 2.45/2.67  108 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Osemiring(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) # label(cls_NatSimprocs_Oleft__distrib__number__of_0) # label(axiom).  [assumption].
% 2.45/2.68  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_plus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(108,b,72,a)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(tc_nat) | c_times(c_plus(A,B,tc_nat),c_Numeral_Onumber__of(C,tc_nat),tc_nat) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_nat),tc_nat),c_times(B,c_Numeral_Onumber__of(C,tc_nat),tc_nat),tc_nat).  [resolve(108,b,73,a)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Numeral_Onumber__ring(A).  [resolve(108,b,74,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Power_Orecpower(A).  [resolve(108,b,75,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(108,b,76,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(108,b,77,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(108,b,78,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(108,b,79,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(108,b,80,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(108,b,81,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(108,b,82,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(108,b,83,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(108,b,84,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(108,b,85,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(108,b,86,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(108,b,87,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(108,b,88,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(108,b,89,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(108,b,90,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(108,b,91,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(108,b,92,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(108,b,93,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(108,b,94,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(108,b,95,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(108,b,96,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(108,b,97,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oring(A).  [resolve(108,b,98,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(108,b,99,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Osemiring__0(A).  [resolve(108,b,104,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(108,b,105,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(108,b,106,b)].
% 2.45/2.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(108,b,107,b)].
% 2.45/2.69  109 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Osemiring(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) # label(cls_NatSimprocs_Oright__distrib__number__of_0) # label(axiom).  [assumption].
% 2.45/2.69  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(109,b,72,a)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(tc_nat) | c_times(c_Numeral_Onumber__of(A,tc_nat),c_plus(B,C,tc_nat),tc_nat) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_nat),B,tc_nat),c_times(c_Numeral_Onumber__of(A,tc_nat),C,tc_nat),tc_nat).  [resolve(109,b,73,a)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(109,b,74,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Power_Orecpower(A).  [resolve(109,b,75,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(109,b,76,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(109,b,77,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(109,b,78,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(109,b,79,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(109,b,80,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(109,b,81,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(109,b,82,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(109,b,83,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(109,b,84,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(109,b,85,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(109,b,86,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(109,b,87,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(109,b,88,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(109,b,89,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(109,b,90,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(109,b,91,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(109,b,92,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(109,b,93,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(109,b,94,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(109,b,95,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(109,b,96,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(109,b,97,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oring(A).  [resolve(109,b,98,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(109,b,99,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Osemiring__0(A).  [resolve(109,b,104,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(109,b,105,b)].
% 2.45/2.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(109,b,106,b)].
% 2.64/2.90  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(109,b,107,b)].
% 2.64/2.90  110 -class_Ring__and__Field_Ocomm__semiring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_0) # label(axiom).  [assumption].
% 2.64/2.90  111 class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_11) # label(axiom).  [assumption].
% 2.64/2.90  112 class_Ring__and__Field_Ocomm__semiring(tc_nat) # label(clsarity_nat_19) # label(axiom).  [assumption].
% 2.64/2.90  113 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Numeral_Onumber__ring_7) # label(axiom).  [assumption].
% 2.64/2.90  114 -class_Power_Orecpower(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Power_Orecpower_11) # label(axiom).  [assumption].
% 2.64/2.90  115 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__ring_1) # label(axiom).  [assumption].
% 2.64/2.90  116 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_6) # label(axiom).  [assumption].
% 2.64/2.90  117 -class_Ring__and__Field_Ocomm__semiring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_1) # label(axiom).  [assumption].
% 2.64/2.90  118 -class_Ring__and__Field_Ocomm__semiring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_2) # label(axiom).  [assumption].
% 2.64/2.90  119 -class_Ring__and__Field_Ocomm__semiring(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_3) # label(axiom).  [assumption].
% 2.64/2.90  Derived: class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint).  [resolve(119,a,111,a)].
% 2.64/2.90  Derived: class_OrderedGroup_Oab__semigroup__mult(tc_nat).  [resolve(119,a,112,a)].
% 2.64/2.90  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Numeral_Onumber__ring(A).  [resolve(119,a,113,b)].
% 2.64/2.90  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Power_Orecpower(A).  [resolve(119,a,114,b)].
% 2.64/2.90  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(119,a,115,b)].
% 2.64/2.90  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(119,a,116,b)].
% 2.64/2.90  120 -class_Ring__and__Field_Ocomm__semiring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_4) # label(axiom).  [assumption].
% 2.64/2.90  121 -class_Ring__and__Field_Ocomm__semiring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_5) # label(axiom).  [assumption].
% 2.64/2.90  122 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_0) # label(axiom).  [assumption].
% 2.64/2.90  123 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_1) # label(axiom).  [assumption].
% 2.64/2.90  124 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_4) # label(axiom).  [assumption].
% 2.64/2.90  125 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_2) # label(axiom).  [assumption].
% 2.64/2.90  126 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ofield_16) # label(axiom).  [assumption].
% 2.64/2.90  127 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Oidom_16) # label(axiom).  [assumption].
% 2.64/2.90  128 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_1) # label(axiom).  [assumption].
% 2.82/3.05  129 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__field_19) # label(axiom).  [assumption].
% 2.82/3.05  130 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__idom_16) # label(axiom).  [assumption].
% 2.82/3.05  131 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semidom_10) # label(axiom).  [assumption].
% 2.82/3.05  132 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_2) # label(axiom).  [assumption].
% 2.82/3.05  133 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_6) # label(axiom).  [assumption].
% 2.82/3.05  134 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_1) # label(axiom).  [assumption].
% 2.82/3.05  135 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(71,a,78,b)].
% 2.82/3.05  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(135,b,111,a)].
% 2.82/3.05  Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat).  [resolve(135,b,112,a)].
% 2.82/3.05  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(135,b,113,b)].
% 2.82/3.05  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A).  [resolve(135,b,114,b)].
% 2.82/3.05  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(135,b,115,b)].
% 2.82/3.05  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(135,b,116,b)].
% 2.82/3.05  136 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(100,a,78,b)].
% 2.82/3.05  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(136,b,111,a)].
% 2.82/3.05  Derived: class_OrderedGroup_Osemigroup__add(tc_nat).  [resolve(136,b,112,a)].
% 2.82/3.05  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(136,b,113,b)].
% 2.82/3.05  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A).  [resolve(136,b,114,b)].
% 2.82/3.05  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(136,b,115,b)].
% 2.82/3.05  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(136,b,116,b)].
% 2.82/3.05  137 class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(101,a,78,b)].
% 2.82/3.05  Derived: class_HOL_Oplus(tc_IntDef_Oint).  [resolve(137,b,111,a)].
% 2.82/3.05  Derived: class_HOL_Oplus(tc_nat).  [resolve(137,b,112,a)].
% 2.82/3.05  Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A).  [resolve(137,b,113,b)].
% 2.82/3.05  Derived: class_HOL_Oplus(A) | -class_Power_Orecpower(A).  [resolve(137,b,114,b)].
% 2.82/3.05  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(137,b,115,b)].
% 2.82/3.05  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(137,b,116,b)].
% 2.82/3.05  138 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(102,a,78,b)].
% 2.82/3.05  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(138,b,111,a)].
% 2.82/3.05  Derived: class_OrderedGroup_Osemigroup__mult(tc_nat).  [resolve(138,b,112,a)].
% 2.82/3.05  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A).  [resolve(138,b,113,b)].
% 2.82/3.05  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Power_Orecpower(A).  [resolve(138,b,114,b)].
% 2.82/3.05  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(138,b,115,b)].
% 2.82/3.05  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(138,b,116,b)].
% 2.82/3.05  139 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(103,a,78,b)].
% 2.87/3.11  Derived: class_HOL_Otimes(tc_IntDef_Oint).  [resolve(139,b,111,a)].
% 2.87/3.11  Derived: class_HOL_Otimes(tc_nat).  [resolve(139,b,112,a)].
% 2.87/3.11  Derived: class_HOL_Otimes(A) | -class_Numeral_Onumber__ring(A).  [resolve(139,b,113,b)].
% 2.87/3.11  Derived: class_HOL_Otimes(A) | -class_Power_Orecpower(A).  [resolve(139,b,114,b)].
% 2.87/3.11  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(139,b,115,b)].
% 2.87/3.11  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(139,b,116,b)].
% 2.87/3.11  140 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(108,b,78,b)].
% 2.87/3.11  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_plus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(140,c,111,a)].
% 2.87/3.11  Derived: -class_Numeral_Onumber(tc_nat) | c_times(c_plus(A,B,tc_nat),c_Numeral_Onumber__of(C,tc_nat),tc_nat) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_nat),tc_nat),c_times(B,c_Numeral_Onumber__of(C,tc_nat),tc_nat),tc_nat).  [resolve(140,c,112,a)].
% 2.87/3.11  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Numeral_Onumber__ring(A).  [resolve(140,c,113,b)].
% 2.87/3.11  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Power_Orecpower(A).  [resolve(140,c,114,b)].
% 2.87/3.11  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(140,c,115,b)].
% 2.87/3.11  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(140,c,116,b)].
% 2.87/3.11  141 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring(A).  [resolve(109,b,78,b)].
% 2.87/3.11  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(141,c,111,a)].
% 2.87/3.11  Derived: -class_Numeral_Onumber(tc_nat) | c_times(c_Numeral_Onumber__of(A,tc_nat),c_plus(B,C,tc_nat),tc_nat) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_nat),B,tc_nat),c_times(c_Numeral_Onumber__of(A,tc_nat),C,tc_nat),tc_nat).  [resolve(141,c,112,a)].
% 2.87/3.11  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(141,c,113,b)].
% 2.87/3.11  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Power_Orecpower(A).  [resolve(141,c,114,b)].
% 2.87/3.11  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(141,c,115,b)].
% 2.87/3.11  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(141,c,116,b)].
% 2.87/3.11  142 -class_OrderedGroup_Ocomm__monoid__add(A) | class_HOL_Ozero(A) # label(clsrel_OrderedGroup_Ocomm__monoid__add_0) # label(axiom).  [assumption].
% 2.87/3.13  143 class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_12) # label(axiom).  [assumption].
% 2.87/3.13  144 class_OrderedGroup_Ocomm__monoid__add(tc_nat) # label(clsarity_nat_20) # label(axiom).  [assumption].
% 2.87/3.13  145 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Numeral_Onumber__ring_9) # label(axiom).  [assumption].
% 2.87/3.13  146 -class_OrderedGroup_Oab__group__add(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_OrderedGroup_Oab__group__add_1) # label(axiom).  [assumption].
% 2.87/3.13  Derived: class_HOL_Ozero(tc_IntDef_Oint).  [resolve(142,a,143,a)].
% 2.87/3.13  Derived: class_HOL_Ozero(tc_nat).  [resolve(142,a,144,a)].
% 2.87/3.13  Derived: class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A).  [resolve(142,a,145,b)].
% 2.87/3.13  Derived: class_HOL_Ozero(A) | -class_OrderedGroup_Oab__group__add(A).  [resolve(142,a,146,b)].
% 2.87/3.13  147 -class_OrderedGroup_Ocomm__monoid__add(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Ocomm__monoid__add_1) # label(axiom).  [assumption].
% 2.87/3.13  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Oab__group__add(A).  [resolve(147,a,146,b)].
% 2.87/3.13  148 -class_OrderedGroup_Ocomm__monoid__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Ocomm__monoid__add_2) # label(axiom).  [assumption].
% 2.87/3.13  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oab__group__add(A).  [resolve(148,a,146,b)].
% 2.87/3.13  149 -class_OrderedGroup_Ocomm__monoid__add(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Ocomm__monoid__add_3) # label(axiom).  [assumption].
% 2.87/3.13  Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Oab__group__add(A).  [resolve(149,a,146,b)].
% 2.87/3.13  150 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_3) # label(axiom).  [assumption].
% 2.87/3.13  Derived: -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Oab__semigroup__add(A).  [resolve(150,b,147,a)].
% 2.87/3.13  Derived: -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Osemigroup__add(A).  [resolve(150,b,148,a)].
% 2.87/3.13  Derived: -class_OrderedGroup_Olordered__ab__group(A) | class_HOL_Oplus(A).  [resolve(150,b,149,a)].
% 2.87/3.13  151 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_4) # label(axiom).  [assumption].
% 2.87/3.13  Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Oab__semigroup__add(A).  [resolve(151,b,147,a)].
% 2.87/3.13  Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Osemigroup__add(A).  [resolve(151,b,148,a)].
% 2.87/3.13  Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | class_HOL_Oplus(A).  [resolve(151,b,149,a)].
% 2.87/3.13  152 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_3) # label(axiom).  [assumption].
% 2.87/3.13  Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Oab__semigroup__add(A).  [resolve(152,b,147,a)].
% 2.87/3.13  Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Osemigroup__add(A).  [resolve(152,b,148,a)].
% 2.87/3.13  Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | class_HOL_Oplus(A).  [resolve(152,b,149,a)].
% 2.87/3.13  153 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_3) # label(axiom).  [assumption].
% 2.87/3.13  Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Oab__semigroup__add(A).  [resolve(153,b,147,a)].
% 2.87/3.13  Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Osemigroup__add(A).  [resolve(153,b,148,a)].
% 2.87/3.13  Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | class_HOL_Oplus(A).  [resolve(153,b,149,a)].
% 2.87/3.13  154 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_2) # label(axiom).  [assumption].
% 2.87/3.14  155 -class_Power_Orecpower(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Power_Orecpower_12) # label(axiom).  [assumption].
% 2.87/3.14  Derived: -class_Power_Orecpower(A) | class_HOL_Ozero(A).  [resolve(155,b,142,a)].
% 2.87/3.14  156 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring_7) # label(axiom).  [assumption].
% 2.87/3.14  Derived: -class_Ring__and__Field_Ocomm__ring(A) | class_HOL_Ozero(A).  [resolve(156,b,142,a)].
% 2.87/3.14  157 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_13) # label(axiom).  [assumption].
% 2.87/3.14  158 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_8) # label(axiom).  [assumption].
% 2.87/3.14  159 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_7) # label(axiom).  [assumption].
% 2.87/3.14  Derived: -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_HOL_Ozero(A).  [resolve(159,b,142,a)].
% 2.87/3.14  160 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_10) # label(axiom).  [assumption].
% 2.87/3.14  Derived: -class_Ring__and__Field_Ocomm__semiring__1(A) | class_HOL_Ozero(A).  [resolve(160,b,142,a)].
% 2.87/3.14  161 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_9) # label(axiom).  [assumption].
% 2.87/3.14  Derived: -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Ozero(A).  [resolve(161,b,142,a)].
% 2.87/3.14  162 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ofield_23) # label(axiom).  [assumption].
% 2.87/3.14  163 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oidom_23) # label(axiom).  [assumption].
% 2.87/3.14  164 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_17) # label(axiom).  [assumption].
% 2.87/3.14  165 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_7) # label(axiom).  [assumption].
% 2.87/3.14  Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_HOL_Ozero(A).  [resolve(165,b,142,a)].
% 2.87/3.14  166 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oordered__field_25) # label(axiom).  [assumption].
% 2.87/3.14  167 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_23) # label(axiom).  [assumption].
% 2.87/3.14  168 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_10) # label(axiom).  [assumption].
% 2.87/3.14  169 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_17) # label(axiom).  [assumption].
% 2.87/3.14  170 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_4) # label(axiom).  [assumption].
% 2.87/3.14  171 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_8) # label(axiom).  [assumption].
% 2.87/3.14  172 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_5) # label(axiom).  [assumption].
% 2.87/3.14  173 -class_Ring__and__Field_Opordered__comm__ring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_13) # label(axiom).  [assumption].
% 2.87/3.14  174 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_7) # label(axiom).  [assumption].
% 2.94/3.20  Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | class_HOL_Ozero(A).  [resolve(174,b,142,a)].
% 2.94/3.20  175 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_10) # label(axiom).  [assumption].
% 2.94/3.20  176 -class_Ring__and__Field_Opordered__semiring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Opordered__semiring_4) # label(axiom).  [assumption].
% 2.94/3.20  177 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oring_8) # label(axiom).  [assumption].
% 2.94/3.20  178 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oring__1_10) # label(axiom).  [assumption].
% 2.94/3.20  179 -class_Ring__and__Field_Osemiring__0(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Osemiring__0_6) # label(axiom).  [assumption].
% 2.94/3.20  Derived: -class_Ring__and__Field_Osemiring__0(A) | class_OrderedGroup_Oab__semigroup__add(A).  [resolve(179,b,147,a)].
% 2.94/3.20  Derived: -class_Ring__and__Field_Osemiring__0(A) | class_OrderedGroup_Osemigroup__add(A).  [resolve(179,b,148,a)].
% 2.94/3.20  Derived: -class_Ring__and__Field_Osemiring__0(A) | class_HOL_Oplus(A).  [resolve(179,b,149,a)].
% 2.94/3.20  180 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_4) # label(axiom).  [assumption].
% 2.94/3.20  181 -class_Ring__and__Field_Osemiring__1(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Osemiring__1_7) # label(axiom).  [assumption].
% 2.94/3.20  Derived: -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Ozero(A).  [resolve(181,b,142,a)].
% 2.94/3.20  182 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_4) # label(axiom).  [assumption].
% 2.94/3.20  183 -class_OrderedGroup_Ocomm__monoid__add(A) | c_plus(B,c_0,A) = B # label(cls_OrderedGroup_Oadd__0__right_0) # label(axiom).  [assumption].
% 2.94/3.20  Derived: c_plus(A,c_0,tc_IntDef_Oint) = A.  [resolve(183,a,143,a)].
% 2.94/3.20  Derived: c_plus(A,c_0,tc_nat) = A.  [resolve(183,a,144,a)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(183,a,145,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_OrderedGroup_Oab__group__add(B).  [resolve(183,a,146,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(183,a,150,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(183,a,151,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(183,a,152,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(183,a,153,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(183,a,154,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Power_Orecpower(B).  [resolve(183,a,155,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(183,a,156,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(183,a,157,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__0(B).  [resolve(183,a,158,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__0__cancel(B).  [resolve(183,a,159,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(183,a,160,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(183,a,161,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(183,a,162,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(183,a,163,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(183,a,164,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(183,a,165,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(183,a,166,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(183,a,167,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(183,a,168,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(183,a,169,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(183,a,170,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(183,a,171,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(183,a,172,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(183,a,173,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(183,a,174,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(183,a,175,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(183,a,176,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oring(B).  [resolve(183,a,177,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(183,a,178,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Osemiring__0(B).  [resolve(183,a,179,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Osemiring__0__cancel(B).  [resolve(183,a,180,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Osemiring__1(B).  [resolve(183,a,181,b)].
% 2.94/3.20  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Osemiring__1__cancel(B).  [resolve(183,a,182,b)].
% 2.94/3.20  184 -class_OrderedGroup_Ocomm__monoid__add(A) | c_plus(c_0,B,A) = B # label(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) # label(axiom).  [assumption].
% 2.94/3.20  Derived: c_plus(c_0,A,tc_IntDef_Oint) = A.  [resolve(184,a,143,a)].
% 2.94/3.20  Derived: c_plus(c_0,A,tc_nat) = A.  [resolve(184,a,144,a)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(184,a,145,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_OrderedGroup_Oab__group__add(B).  [resolve(184,a,146,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(184,a,150,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(184,a,151,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(184,a,152,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(184,a,153,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(184,a,154,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Power_Orecpower(B).  [resolve(184,a,155,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(184,a,156,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(184,a,157,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__0(B).  [resolve(184,a,158,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__0__cancel(B).  [resolve(184,a,159,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(184,a,160,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(184,a,161,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(184,a,162,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(184,a,163,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(184,a,164,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(184,a,165,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(184,a,166,b)].
% 2.94/3.20  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(184,a,167,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(184,a,168,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(184,a,169,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(184,a,170,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(184,a,171,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(184,a,172,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(184,a,173,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(184,a,174,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(184,a,175,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(184,a,176,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oring(B).  [resolve(184,a,177,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(184,a,178,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Osemiring__0(B).  [resolve(184,a,179,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Osemiring__0__cancel(B).  [resolve(184,a,180,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Osemiring__1(B).  [resolve(184,a,181,b)].
% 3.14/3.40  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Osemiring__1__cancel(B).  [resolve(184,a,182,b)].
% 3.14/3.40  185 -class_Ring__and__Field_Osemiring__0(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__0_1) # label(axiom).  [assumption].
% 3.14/3.40  186 class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_13) # label(axiom).  [assumption].
% 3.14/3.40  187 class_Ring__and__Field_Osemiring__0(tc_nat) # label(clsarity_nat_21) # label(axiom).  [assumption].
% 3.14/3.40  188 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Numeral_Onumber__ring_10) # label(axiom).  [assumption].
% 3.14/3.40  189 -class_Power_Orecpower(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Power_Orecpower_13) # label(axiom).  [assumption].
% 3.14/3.40  190 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__ring_3) # label(axiom).  [assumption].
% 3.14/3.40  191 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_9) # label(axiom).  [assumption].
% 3.14/3.40  192 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_10) # label(axiom).  [assumption].
% 3.14/3.40  193 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_3) # label(axiom).  [assumption].
% 3.14/3.40  194 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_6) # label(axiom).  [assumption].
% 3.14/3.40  195 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_7) # label(axiom).  [assumption].
% 3.14/3.40  196 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ofield_19) # label(axiom).  [assumption].
% 3.14/3.40  197 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oidom_19) # label(axiom).  [assumption].
% 3.14/3.40  198 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Olordered__ring_13) # label(axiom).  [assumption].
% 3.14/3.40  199 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_3) # label(axiom).  [assumption].
% 3.14/3.40  200 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oordered__field_22) # label(axiom).  [assumption].
% 3.19/3.44  201 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oordered__idom_19) # label(axiom).  [assumption].
% 3.19/3.44  202 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_6) # label(axiom).  [assumption].
% 3.19/3.44  203 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oordered__semidom_13) # label(axiom).  [assumption].
% 3.19/3.44  204 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_0) # label(axiom).  [assumption].
% 3.19/3.44  205 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_4) # label(axiom).  [assumption].
% 3.19/3.44  206 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_1) # label(axiom).  [assumption].
% 3.19/3.44  207 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_9) # label(axiom).  [assumption].
% 3.19/3.44  208 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_3) # label(axiom).  [assumption].
% 3.19/3.44  209 -class_Ring__and__Field_Opordered__ring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Opordered__ring_6) # label(axiom).  [assumption].
% 3.19/3.44  210 -class_Ring__and__Field_Opordered__semiring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Opordered__semiring_0) # label(axiom).  [assumption].
% 3.19/3.44  211 -class_Ring__and__Field_Oring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oring_13) # label(axiom).  [assumption].
% 3.19/3.44  212 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oring__1_6) # label(axiom).  [assumption].
% 3.19/3.44  213 -class_Ring__and__Field_Osemiring__0(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__0_2) # label(axiom).  [assumption].
% 3.19/3.44  214 -class_Ring__and__Field_Osemiring__0(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Osemiring__0_3) # label(axiom).  [assumption].
% 3.19/3.44  215 -class_Ring__and__Field_Osemiring__0(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Osemiring__0_4) # label(axiom).  [assumption].
% 3.19/3.44  216 -class_Ring__and__Field_Osemiring__0(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Osemiring__0_5) # label(axiom).  [assumption].
% 3.19/3.44  217 -class_Ring__and__Field_Osemiring__0(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Osemiring__0_7) # label(axiom).  [assumption].
% 3.19/3.44  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(217,a,191,b)].
% 3.19/3.44  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(217,a,192,b)].
% 3.19/3.44  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A).  [resolve(217,a,196,b)].
% 3.19/3.44  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A).  [resolve(217,a,197,b)].
% 3.19/3.44  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(217,a,198,b)].
% 3.19/3.44  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(217,a,200,b)].
% 3.19/3.44  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(217,a,201,b)].
% 3.19/3.44  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(217,a,202,b)].
% 3.19/3.44  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(217,a,203,b)].
% 3.19/3.44  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(217,a,204,b)].
% 3.19/3.44  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(217,a,205,b)].
% 3.19/3.44  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(217,a,206,b)].
% 3.35/3.58  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(217,a,207,b)].
% 3.35/3.58  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(217,a,209,b)].
% 3.35/3.58  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(217,a,210,b)].
% 3.35/3.58  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oring(A).  [resolve(217,a,211,b)].
% 3.35/3.58  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(217,a,212,b)].
% 3.35/3.58  218 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_0) # label(axiom).  [assumption].
% 3.35/3.58  219 -class_Ring__and__Field_Osemiring__1(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Osemiring__1_3) # label(axiom).  [assumption].
% 3.35/3.58  220 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_2) # label(axiom).  [assumption].
% 3.35/3.58  221 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Osemiring__0(A).  [resolve(108,b,104,b)].
% 3.35/3.58  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(221,c,192,b)].
% 3.35/3.58  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(221,c,193,b)].
% 3.35/3.58  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(221,c,194,b)].
% 3.35/3.58  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(221,c,195,b)].
% 3.35/3.58  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(221,c,196,b)].
% 3.35/3.58  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(221,c,197,b)].
% 3.35/3.58  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(221,c,198,b)].
% 3.35/3.58  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(221,c,199,b)].
% 3.35/3.58  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(221,c,200,b)].
% 3.35/3.58  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(221,c,201,b)].
% 3.35/3.58  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(221,c,202,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(221,c,203,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(221,c,204,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(221,c,205,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(221,c,206,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(221,c,207,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(221,c,208,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(221,c,209,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(221,c,210,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oring(A).  [resolve(221,c,211,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(221,c,212,b)].
% 3.35/3.59  222 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Osemiring__0(A).  [resolve(109,b,104,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(222,c,192,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(222,c,193,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(222,c,194,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(222,c,195,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(222,c,196,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(222,c,197,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(222,c,198,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(222,c,199,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(222,c,200,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(222,c,201,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(222,c,202,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(222,c,203,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(222,c,204,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(222,c,205,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(222,c,206,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(222,c,207,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(222,c,208,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(222,c,209,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(222,c,210,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oring(A).  [resolve(222,c,211,b)].
% 3.35/3.59  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(222,c,212,b)].
% 3.39/3.60  223 -class_Ring__and__Field_Osemiring__0(A) | class_OrderedGroup_Oab__semigroup__add(A).  [resolve(179,b,147,a)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(223,a,186,a)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat).  [resolve(223,a,187,a)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(223,a,188,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A).  [resolve(223,a,189,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(223,a,190,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(223,a,191,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(223,a,192,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(223,a,193,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(223,a,194,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(223,a,195,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(223,a,196,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(223,a,197,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(223,a,198,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(223,a,199,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(223,a,200,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(223,a,201,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(223,a,202,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(223,a,203,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(223,a,204,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(223,a,205,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(223,a,206,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(223,a,207,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(223,a,208,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(223,a,209,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(223,a,210,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(223,a,211,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(223,a,212,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(223,a,218,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(223,a,219,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(223,a,220,b)].
% 3.39/3.60  224 -class_Ring__and__Field_Osemiring__0(A) | class_OrderedGroup_Osemigroup__add(A).  [resolve(179,b,148,a)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(224,a,186,a)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(tc_nat).  [resolve(224,a,187,a)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(224,a,188,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A).  [resolve(224,a,189,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(224,a,190,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(224,a,191,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(224,a,192,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(224,a,193,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(224,a,194,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(224,a,195,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(224,a,196,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(224,a,197,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(224,a,198,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(224,a,199,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(224,a,200,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(224,a,201,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(224,a,202,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(224,a,203,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(224,a,204,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(224,a,205,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(224,a,206,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(224,a,207,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(224,a,208,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(224,a,209,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(224,a,210,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(224,a,211,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(224,a,212,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(224,a,218,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(224,a,219,b)].
% 3.39/3.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(224,a,220,b)].
% 3.39/3.60  225 -class_Ring__and__Field_Osemiring__0(A) | class_HOL_Oplus(A).  [resolve(179,b,149,a)].
% 3.39/3.60  Derived: class_HOL_Oplus(tc_IntDef_Oint).  [resolve(225,a,186,a)].
% 3.39/3.60  Derived: class_HOL_Oplus(tc_nat).  [resolve(225,a,187,a)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A).  [resolve(225,a,188,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Power_Orecpower(A).  [resolve(225,a,189,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(225,a,190,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(225,a,191,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(225,a,192,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(225,a,193,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(225,a,194,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(225,a,195,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A).  [resolve(225,a,196,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A).  [resolve(225,a,197,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(225,a,198,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(225,a,199,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(225,a,200,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(225,a,201,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(225,a,202,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(225,a,203,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(225,a,204,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(225,a,205,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(225,a,206,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(225,a,207,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(225,a,208,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(225,a,209,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(225,a,210,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oring(A).  [resolve(225,a,211,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(225,a,212,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(225,a,218,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(225,a,219,b)].
% 3.39/3.60  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(225,a,220,b)].
% 3.39/3.60  226 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Osemiring__0(B).  [resolve(183,a,179,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,tc_IntDef_Oint) = A.  [resolve(226,b,186,a)].
% 3.39/3.60  Derived: c_plus(A,c_0,tc_nat) = A.  [resolve(226,b,187,a)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(226,b,188,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Power_Orecpower(B).  [resolve(226,b,189,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(226,b,190,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(226,b,191,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__0(B).  [resolve(226,b,192,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__0__cancel(B).  [resolve(226,b,193,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(226,b,194,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(226,b,195,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(226,b,196,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(226,b,197,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(226,b,198,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(226,b,199,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(226,b,200,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(226,b,201,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(226,b,202,b)].
% 3.39/3.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(226,b,203,b)].
% 3.43/3.69  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(226,b,204,b)].
% 3.43/3.69  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(226,b,205,b)].
% 3.43/3.69  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(226,b,206,b)].
% 3.43/3.69  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(226,b,207,b)].
% 3.43/3.69  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(226,b,208,b)].
% 3.43/3.69  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(226,b,209,b)].
% 3.43/3.69  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(226,b,210,b)].
% 3.43/3.69  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oring(B).  [resolve(226,b,211,b)].
% 3.43/3.69  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(226,b,212,b)].
% 3.43/3.69  227 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Osemiring__0(B).  [resolve(184,a,179,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,tc_IntDef_Oint) = A.  [resolve(227,b,186,a)].
% 3.43/3.69  Derived: c_plus(c_0,A,tc_nat) = A.  [resolve(227,b,187,a)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(227,b,188,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Power_Orecpower(B).  [resolve(227,b,189,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(227,b,190,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(227,b,191,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__0(B).  [resolve(227,b,192,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__0__cancel(B).  [resolve(227,b,193,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(227,b,194,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(227,b,195,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(227,b,196,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(227,b,197,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(227,b,198,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(227,b,199,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(227,b,200,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(227,b,201,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(227,b,202,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(227,b,203,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(227,b,204,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(227,b,205,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(227,b,206,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(227,b,207,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(227,b,208,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(227,b,209,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(227,b,210,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oring(B).  [resolve(227,b,211,b)].
% 3.43/3.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(227,b,212,b)].
% 3.43/3.69  228 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_1) # label(axiom).  [assumption].
% 3.43/3.69  229 class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_14) # label(axiom).  [assumption].
% 3.43/3.69  230 class_Ring__and__Field_Ocomm__semiring__0(tc_nat) # label(clsarity_nat_22) # label(axiom).  [assumption].
% 3.56/3.85  231 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Numeral_Onumber__ring_11) # label(axiom).  [assumption].
% 3.56/3.85  232 -class_Power_Orecpower(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Power_Orecpower_14) # label(axiom).  [assumption].
% 3.56/3.85  233 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__ring_0) # label(axiom).  [assumption].
% 3.56/3.85  234 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_5) # label(axiom).  [assumption].
% 3.56/3.85  235 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_3) # label(axiom).  [assumption].
% 3.56/3.85  236 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_4) # label(axiom).  [assumption].
% 3.56/3.85  237 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_5) # label(axiom).  [assumption].
% 3.56/3.85  238 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_6) # label(axiom).  [assumption].
% 3.56/3.85  239 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_7) # label(axiom).  [assumption].
% 3.56/3.85  240 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_9) # label(axiom).  [assumption].
% 3.56/3.85  241 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_0) # label(axiom).  [assumption].
% 3.56/3.85  242 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_3) # label(axiom).  [assumption].
% 3.56/3.85  243 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_1) # label(axiom).  [assumption].
% 3.56/3.85  244 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Ofield_15) # label(axiom).  [assumption].
% 3.56/3.85  245 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Oidom_15) # label(axiom).  [assumption].
% 3.56/3.85  246 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_0) # label(axiom).  [assumption].
% 3.56/3.85  247 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Oordered__field_18) # label(axiom).  [assumption].
% 3.56/3.85  248 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Oordered__idom_15) # label(axiom).  [assumption].
% 3.56/3.85  249 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Oordered__semidom_9) # label(axiom).  [assumption].
% 3.56/3.85  Derived: -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Oab__semigroup__mult(A).  [resolve(249,b,228,a)].
% 3.56/3.85  250 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_1) # label(axiom).  [assumption].
% 3.56/3.85  251 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_5) # label(axiom).  [assumption].
% 3.56/3.85  252 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_0) # label(axiom).  [assumption].
% 3.56/3.85  253 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(71,a,79,b)].
% 3.69/3.89  254 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(100,a,79,b)].
% 3.69/3.89  255 class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(101,a,79,b)].
% 3.69/3.89  256 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(102,a,79,b)].
% 3.69/3.89  257 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(103,a,79,b)].
% 3.69/3.89  258 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(108,b,79,b)].
% 3.69/3.89  259 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(109,b,79,b)].
% 3.69/3.89  260 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__0(B).  [resolve(183,a,158,b)].
% 3.69/3.89  261 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__0(B).  [resolve(184,a,158,b)].
% 3.69/3.89  262 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(217,a,192,b)].
% 3.69/3.89  Derived: class_HOL_Ozero(tc_IntDef_Oint).  [resolve(262,b,229,a)].
% 3.69/3.89  Derived: class_HOL_Ozero(tc_nat).  [resolve(262,b,230,a)].
% 3.69/3.89  Derived: class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A).  [resolve(262,b,231,b)].
% 3.69/3.89  Derived: class_HOL_Ozero(A) | -class_Power_Orecpower(A).  [resolve(262,b,232,b)].
% 3.69/3.89  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(262,b,233,b)].
% 3.69/3.89  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(262,b,234,b)].
% 3.69/3.89  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(262,b,241,b)].
% 3.69/3.89  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(262,b,242,b)].
% 3.69/3.89  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(262,b,243,b)].
% 3.69/3.89  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(262,b,246,b)].
% 3.69/3.89  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(262,b,252,b)].
% 3.69/3.89  263 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(221,c,192,b)].
% 3.69/3.89  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_plus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(263,c,229,a)].
% 3.69/3.89  Derived: -class_Numeral_Onumber(tc_nat) | c_times(c_plus(A,B,tc_nat),c_Numeral_Onumber__of(C,tc_nat),tc_nat) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_nat),tc_nat),c_times(B,c_Numeral_Onumber__of(C,tc_nat),tc_nat),tc_nat).  [resolve(263,c,230,a)].
% 3.69/3.89  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Numeral_Onumber__ring(A).  [resolve(263,c,231,b)].
% 3.69/3.89  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Power_Orecpower(A).  [resolve(263,c,232,b)].
% 3.69/3.89  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(263,c,233,b)].
% 3.69/3.89  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(263,c,234,b)].
% 3.69/3.91  264 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(222,c,192,b)].
% 3.69/3.91  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(264,c,229,a)].
% 3.69/3.91  Derived: -class_Numeral_Onumber(tc_nat) | c_times(c_Numeral_Onumber__of(A,tc_nat),c_plus(B,C,tc_nat),tc_nat) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_nat),B,tc_nat),c_times(c_Numeral_Onumber__of(A,tc_nat),C,tc_nat),tc_nat).  [resolve(264,c,230,a)].
% 3.69/3.91  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(264,c,231,b)].
% 3.69/3.91  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Power_Orecpower(A).  [resolve(264,c,232,b)].
% 3.69/3.91  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(264,c,233,b)].
% 3.69/3.91  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(264,c,234,b)].
% 3.69/3.91  265 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(223,a,192,b)].
% 3.69/3.91  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(265,b,229,a)].
% 3.69/3.91  Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat).  [resolve(265,b,230,a)].
% 3.69/3.91  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(265,b,231,b)].
% 3.69/3.91  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A).  [resolve(265,b,232,b)].
% 3.69/3.91  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(265,b,233,b)].
% 3.69/3.91  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(265,b,234,b)].
% 3.69/3.91  266 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(224,a,192,b)].
% 3.69/3.91  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(266,b,229,a)].
% 3.69/3.91  Derived: class_OrderedGroup_Osemigroup__add(tc_nat).  [resolve(266,b,230,a)].
% 3.69/3.91  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(266,b,231,b)].
% 3.69/3.91  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A).  [resolve(266,b,232,b)].
% 3.69/3.91  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(266,b,233,b)].
% 3.69/3.91  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(266,b,234,b)].
% 3.69/3.91  267 class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__0(A).  [resolve(225,a,192,b)].
% 3.69/3.91  Derived: class_HOL_Oplus(tc_IntDef_Oint).  [resolve(267,b,229,a)].
% 3.69/3.91  Derived: class_HOL_Oplus(tc_nat).  [resolve(267,b,230,a)].
% 3.69/3.91  Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A).  [resolve(267,b,231,b)].
% 3.69/3.91  Derived: class_HOL_Oplus(A) | -class_Power_Orecpower(A).  [resolve(267,b,232,b)].
% 3.69/3.91  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(267,b,233,b)].
% 3.69/3.91  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(267,b,234,b)].
% 3.69/3.91  268 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__0(B).  [resolve(226,b,192,b)].
% 3.69/3.91  Derived: c_plus(A,c_0,tc_IntDef_Oint) = A.  [resolve(268,b,229,a)].
% 3.69/3.91  Derived: c_plus(A,c_0,tc_nat) = A.  [resolve(268,b,230,a)].
% 3.69/3.91  Derived: c_plus(A,c_0,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(268,b,231,b)].
% 3.75/3.98  Derived: c_plus(A,c_0,B) = A | -class_Power_Orecpower(B).  [resolve(268,b,232,b)].
% 3.75/3.98  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(268,b,233,b)].
% 3.75/3.98  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(268,b,234,b)].
% 3.75/3.98  269 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__0(B).  [resolve(227,b,192,b)].
% 3.75/3.98  Derived: c_plus(c_0,A,tc_IntDef_Oint) = A.  [resolve(269,b,229,a)].
% 3.75/3.98  Derived: c_plus(c_0,A,tc_nat) = A.  [resolve(269,b,230,a)].
% 3.75/3.98  Derived: c_plus(c_0,A,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(269,b,231,b)].
% 3.75/3.98  Derived: c_plus(c_0,A,B) = A | -class_Power_Orecpower(B).  [resolve(269,b,232,b)].
% 3.75/3.98  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(269,b,233,b)].
% 3.75/3.98  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(269,b,234,b)].
% 3.75/3.98  270 -class_OrderedGroup_Ocancel__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Ocancel__semigroup__add_0) # label(axiom).  [assumption].
% 3.75/3.98  271 class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_15) # label(axiom).  [assumption].
% 3.75/3.98  272 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) # label(clsarity_nat_27) # label(axiom).  [assumption].
% 3.75/3.98  273 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Numeral_Onumber__ring_13) # label(axiom).  [assumption].
% 3.75/3.98  274 -class_OrderedGroup_Oab__group__add(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Oab__group__add_7) # label(axiom).  [assumption].
% 3.75/3.98  275 -class_OrderedGroup_Ocancel__ab__semigroup__add(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_3) # label(axiom).  [assumption].
% 3.75/3.98  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Ocancel__ab__semigroup__add(A).  [resolve(270,a,275,b)].
% 3.75/3.98  276 -class_OrderedGroup_Ocancel__semigroup__add(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Ocancel__semigroup__add_1) # label(axiom).  [assumption].
% 3.75/3.98  Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Ocancel__ab__semigroup__add(A).  [resolve(276,a,275,b)].
% 3.75/3.98  277 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_12) # label(axiom).  [assumption].
% 3.75/3.98  278 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_11) # label(axiom).  [assumption].
% 3.75/3.98  279 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_12) # label(axiom).  [assumption].
% 3.75/3.98  280 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_12) # label(axiom).  [assumption].
% 3.75/3.98  281 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_6) # label(axiom).  [assumption].
% 3.75/3.98  282 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_6) # label(axiom).  [assumption].
% 3.75/3.98  283 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_6) # label(axiom).  [assumption].
% 3.75/3.98  284 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_7) # label(axiom).  [assumption].
% 3.75/3.98  Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A).  [resolve(284,b,270,a)].
% 3.75/3.98  Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_HOL_Oplus(A).  [resolve(284,b,276,a)].
% 3.81/4.03  285 -class_Power_Orecpower(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Power_Orecpower_19) # label(axiom).  [assumption].
% 3.81/4.03  286 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring_15) # label(axiom).  [assumption].
% 3.81/4.03  287 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_17) # label(axiom).  [assumption].
% 3.81/4.03  288 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_13) # label(axiom).  [assumption].
% 3.81/4.03  289 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_19) # label(axiom).  [assumption].
% 3.81/4.03  290 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Ofield_27) # label(axiom).  [assumption].
% 3.81/4.03  291 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oidom_27) # label(axiom).  [assumption].
% 3.81/4.03  292 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_21) # label(axiom).  [assumption].
% 3.81/4.03  293 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_23) # label(axiom).  [assumption].
% 3.81/4.03  294 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__field_28) # label(axiom).  [assumption].
% 3.81/4.03  295 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_27) # label(axiom).  [assumption].
% 3.81/4.03  296 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_5) # label(axiom).  [assumption].
% 3.81/4.03  297 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_21) # label(axiom).  [assumption].
% 3.81/4.03  298 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_20) # label(axiom).  [assumption].
% 3.81/4.03  299 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_17) # label(axiom).  [assumption].
% 3.81/4.03  300 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_14) # label(axiom).  [assumption].
% 3.81/4.03  301 -class_Ring__and__Field_Opordered__comm__ring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_17) # label(axiom).  [assumption].
% 3.81/4.03  302 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_5) # label(axiom).  [assumption].
% 3.81/4.03  303 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oring_11) # label(axiom).  [assumption].
% 3.81/4.03  304 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oring__1_5) # label(axiom).  [assumption].
% 3.81/4.03  305 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_10) # label(axiom).  [assumption].
% 3.81/4.03  306 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_14) # label(axiom).  [assumption].
% 3.81/4.03  307 -class_OrderedGroup_Ocancel__semigroup__add(A) | c_plus(B,C,A) != c_plus(B,D,A) | C = D # label(cls_OrderedGroup_Oadd__left__cancel_0) # label(axiom).  [assumption].
% 3.81/4.04  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(A,C,tc_IntDef_Oint) | B = C.  [resolve(307,a,271,a)].
% 3.81/4.04  Derived: c_plus(A,B,tc_nat) != c_plus(A,C,tc_nat) | B = C.  [resolve(307,a,272,a)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Numeral_Onumber__ring(C).  [resolve(307,a,273,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Oab__group__add(C).  [resolve(307,a,274,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Ocancel__ab__semigroup__add(C).  [resolve(307,a,275,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(307,a,277,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(307,a,278,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(307,a,279,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(307,a,280,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(307,a,281,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(307,a,282,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(307,a,283,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(307,a,284,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Power_Orecpower(C).  [resolve(307,a,285,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(307,a,286,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(307,a,287,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__semiring__0__cancel(C).  [resolve(307,a,288,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__semiring__1__cancel(C).  [resolve(307,a,289,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ofield(C).  [resolve(307,a,290,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oidom(C).  [resolve(307,a,291,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(307,a,292,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(307,a,293,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(307,a,294,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(307,a,295,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(307,a,296,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(307,a,297,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(307,a,298,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(307,a,299,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(307,a,300,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(307,a,301,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(307,a,302,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oring(C).  [resolve(307,a,303,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oring__1(C).  [resolve(307,a,304,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Osemiring__0__cancel(C).  [resolve(307,a,305,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Osemiring__1__cancel(C).  [resolve(307,a,306,b)].
% 3.81/4.04  308 -class_OrderedGroup_Ocancel__semigroup__add(A) | c_plus(B,C,A) != c_plus(D,C,A) | B = D # label(cls_OrderedGroup_Oadd__right__cancel_0) # label(axiom).  [assumption].
% 3.81/4.04  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(C,B,tc_IntDef_Oint) | A = C.  [resolve(308,a,271,a)].
% 3.81/4.04  Derived: c_plus(A,B,tc_nat) != c_plus(C,B,tc_nat) | A = C.  [resolve(308,a,272,a)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Numeral_Onumber__ring(C).  [resolve(308,a,273,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Oab__group__add(C).  [resolve(308,a,274,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Ocancel__ab__semigroup__add(C).  [resolve(308,a,275,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(308,a,277,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(308,a,278,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(308,a,279,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(308,a,280,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(308,a,281,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(308,a,282,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(308,a,283,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(308,a,284,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Power_Orecpower(C).  [resolve(308,a,285,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(308,a,286,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(308,a,287,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__semiring__0__cancel(C).  [resolve(308,a,288,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__semiring__1__cancel(C).  [resolve(308,a,289,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ofield(C).  [resolve(308,a,290,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oidom(C).  [resolve(308,a,291,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(308,a,292,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(308,a,293,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(308,a,294,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(308,a,295,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(308,a,296,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(308,a,297,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(308,a,298,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(308,a,299,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(308,a,300,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(308,a,301,b)].
% 3.81/4.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(308,a,302,b)].
% 4.05/4.26  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oring(C).  [resolve(308,a,303,b)].
% 4.05/4.26  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oring__1(C).  [resolve(308,a,304,b)].
% 4.05/4.26  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Osemiring__0__cancel(C).  [resolve(308,a,305,b)].
% 4.05/4.26  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Osemiring__1__cancel(C).  [resolve(308,a,306,b)].
% 4.05/4.26  309 -class_OrderedGroup_Ocancel__ab__semigroup__add(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_0) # label(axiom).  [assumption].
% 4.05/4.26  310 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_16) # label(axiom).  [assumption].
% 4.05/4.26  311 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) # label(clsarity_nat_28) # label(axiom).  [assumption].
% 4.05/4.26  312 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Numeral_Onumber__ring_14) # label(axiom).  [assumption].
% 4.05/4.26  313 -class_OrderedGroup_Oab__group__add(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Oab__group__add_6) # label(axiom).  [assumption].
% 4.05/4.26  314 -class_OrderedGroup_Ocancel__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_1) # label(axiom).  [assumption].
% 4.05/4.26  315 -class_OrderedGroup_Ocancel__ab__semigroup__add(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_2) # label(axiom).  [assumption].
% 4.05/4.26  316 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_10) # label(axiom).  [assumption].
% 4.05/4.26  317 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_9) # label(axiom).  [assumption].
% 4.05/4.26  318 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_10) # label(axiom).  [assumption].
% 4.05/4.26  319 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_10) # label(axiom).  [assumption].
% 4.05/4.26  320 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_4) # label(axiom).  [assumption].
% 4.05/4.26  321 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_4) # label(axiom).  [assumption].
% 4.05/4.26  322 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_4) # label(axiom).  [assumption].
% 4.05/4.26  323 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_6) # label(axiom).  [assumption].
% 4.05/4.26  Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Oab__semigroup__add(A).  [resolve(323,b,309,a)].
% 4.05/4.26  324 -class_Power_Orecpower(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Power_Orecpower_20) # label(axiom).  [assumption].
% 4.05/4.26  325 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring_14) # label(axiom).  [assumption].
% 4.05/4.26  326 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_15) # label(axiom).  [assumption].
% 4.05/4.26  327 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_12) # label(axiom).  [assumption].
% 4.25/4.46  328 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_18) # label(axiom).  [assumption].
% 4.25/4.46  329 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ofield_25) # label(axiom).  [assumption].
% 4.25/4.46  330 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oidom_25) # label(axiom).  [assumption].
% 4.25/4.46  331 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_19) # label(axiom).  [assumption].
% 4.25/4.46  332 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_22) # label(axiom).  [assumption].
% 4.25/4.46  333 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__field_26) # label(axiom).  [assumption].
% 4.25/4.46  334 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_25) # label(axiom).  [assumption].
% 4.25/4.46  335 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_4) # label(axiom).  [assumption].
% 4.25/4.46  336 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_19) # label(axiom).  [assumption].
% 4.25/4.46  337 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_19) # label(axiom).  [assumption].
% 4.25/4.46  338 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_16) # label(axiom).  [assumption].
% 4.25/4.46  339 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_13) # label(axiom).  [assumption].
% 4.25/4.46  340 -class_Ring__and__Field_Opordered__comm__ring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_15) # label(axiom).  [assumption].
% 4.25/4.46  341 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_4) # label(axiom).  [assumption].
% 4.25/4.46  342 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oring_10) # label(axiom).  [assumption].
% 4.25/4.46  343 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oring__1_4) # label(axiom).  [assumption].
% 4.25/4.46  344 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_9) # label(axiom).  [assumption].
% 4.25/4.46  345 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_13) # label(axiom).  [assumption].
% 4.25/4.46  346 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Ocancel__ab__semigroup__add(A).  [resolve(270,a,275,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(346,b,310,a)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(tc_nat).  [resolve(346,b,311,a)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(346,b,312,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oab__group__add(A).  [resolve(346,b,313,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(346,b,316,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(346,b,317,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(346,b,318,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(346,b,319,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(346,b,320,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(346,b,321,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A).  [resolve(346,b,322,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A).  [resolve(346,b,324,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(346,b,325,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(346,b,326,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(346,b,327,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(346,b,328,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(346,b,329,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(346,b,330,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(346,b,331,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(346,b,332,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(346,b,333,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(346,b,334,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(346,b,335,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(346,b,336,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(346,b,337,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(346,b,338,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(346,b,339,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(346,b,340,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(346,b,341,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(346,b,342,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(346,b,343,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(346,b,344,b)].
% 4.25/4.46  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(346,b,345,b)].
% 4.25/4.46  347 class_HOL_Oplus(A) | -class_OrderedGroup_Ocancel__ab__semigroup__add(A).  [resolve(276,a,275,b)].
% 4.25/4.46  Derived: class_HOL_Oplus(tc_IntDef_Oint).  [resolve(347,b,310,a)].
% 4.25/4.46  Derived: class_HOL_Oplus(tc_nat).  [resolve(347,b,311,a)].
% 4.25/4.46  Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A).  [resolve(347,b,312,b)].
% 4.25/4.46  Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Oab__group__add(A).  [resolve(347,b,313,b)].
% 4.25/4.46  Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(347,b,316,b)].
% 4.25/4.46  Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(347,b,317,b)].
% 4.25/4.46  Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(347,b,318,b)].
% 4.25/4.46  Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(347,b,319,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(347,b,320,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(347,b,321,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A).  [resolve(347,b,322,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Power_Orecpower(A).  [resolve(347,b,324,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(347,b,325,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(347,b,326,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(347,b,327,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(347,b,328,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A).  [resolve(347,b,329,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A).  [resolve(347,b,330,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(347,b,331,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(347,b,332,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(347,b,333,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(347,b,334,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(347,b,335,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(347,b,336,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(347,b,337,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(347,b,338,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(347,b,339,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(347,b,340,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(347,b,341,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oring(A).  [resolve(347,b,342,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(347,b,343,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(347,b,344,b)].
% 4.30/4.54  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(347,b,345,b)].
% 4.30/4.54  348 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Ocancel__ab__semigroup__add(C).  [resolve(307,a,275,b)].
% 4.30/4.54  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(A,C,tc_IntDef_Oint) | B = C.  [resolve(348,c,310,a)].
% 4.30/4.54  Derived: c_plus(A,B,tc_nat) != c_plus(A,C,tc_nat) | B = C.  [resolve(348,c,311,a)].
% 4.30/4.54  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Numeral_Onumber__ring(C).  [resolve(348,c,312,b)].
% 4.30/4.54  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Oab__group__add(C).  [resolve(348,c,313,b)].
% 4.30/4.54  349 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Ocancel__ab__semigroup__add(C).  [resolve(308,a,275,b)].
% 4.30/4.54  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(C,B,tc_IntDef_Oint) | A = C.  [resolve(349,c,310,a)].
% 4.30/4.54  Derived: c_plus(A,B,tc_nat) != c_plus(C,B,tc_nat) | A = C.  [resolve(349,c,311,a)].
% 4.30/4.54  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Numeral_Onumber__ring(C).  [resolve(349,c,312,b)].
% 4.30/4.54  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Oab__group__add(C).  [resolve(349,c,313,b)].
% 4.30/4.54  350 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_2) # label(axiom).  [assumption].
% 4.30/4.54  351 class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_18) # label(axiom).  [assumption].
% 4.30/4.54  352 class_Ring__and__Field_Osemiring__0__cancel(tc_nat) # label(clsarity_nat_29) # label(axiom).  [assumption].
% 4.35/4.56  353 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Numeral_Onumber__ring_16) # label(axiom).  [assumption].
% 4.35/4.56  354 -class_Power_Orecpower(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Power_Orecpower_21) # label(axiom).  [assumption].
% 4.35/4.56  355 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__ring_17) # label(axiom).  [assumption].
% 4.35/4.56  356 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_8) # label(axiom).  [assumption].
% 4.35/4.56  357 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_14) # label(axiom).  [assumption].
% 4.35/4.56  358 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_21) # label(axiom).  [assumption].
% 4.35/4.56  359 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ofield_18) # label(axiom).  [assumption].
% 4.35/4.56  360 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oidom_18) # label(axiom).  [assumption].
% 4.35/4.56  361 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Olordered__ring_12) # label(axiom).  [assumption].
% 4.35/4.56  362 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_26) # label(axiom).  [assumption].
% 4.35/4.56  363 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__field_21) # label(axiom).  [assumption].
% 4.35/4.56  364 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__idom_18) # label(axiom).  [assumption].
% 4.35/4.56  365 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_3) # label(axiom).  [assumption].
% 4.35/4.56  366 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__semidom_12) # label(axiom).  [assumption].
% 4.35/4.56  367 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_21) # label(axiom).  [assumption].
% 4.35/4.56  368 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_20) # label(axiom).  [assumption].
% 4.35/4.56  369 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_15) # label(axiom).  [assumption].
% 4.35/4.56  370 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_8) # label(axiom).  [assumption].
% 4.35/4.56  371 -class_Ring__and__Field_Opordered__ring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Opordered__ring_3) # label(axiom).  [assumption].
% 4.35/4.56  372 -class_Ring__and__Field_Oring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oring_12) # label(axiom).  [assumption].
% 4.35/4.56  373 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oring__1_3) # label(axiom).  [assumption].
% 4.35/4.56  374 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_3) # label(axiom).  [assumption].
% 4.35/4.56  375 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_5) # label(axiom).  [assumption].
% 4.42/4.64  376 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_6) # label(axiom).  [assumption].
% 4.42/4.64  377 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_7) # label(axiom).  [assumption].
% 4.42/4.64  378 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_8) # label(axiom).  [assumption].
% 4.42/4.64  379 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_15) # label(axiom).  [assumption].
% 4.42/4.64  380 -class_Ring__and__Field_Osemiring__0__cancel(A) | c_times(c_0,B,A) = c_0 # label(cls_Ring__and__Field_Omult__zero__left_0) # label(axiom).  [assumption].
% 4.42/4.64  Derived: c_times(c_0,A,tc_IntDef_Oint) = c_0.  [resolve(380,a,351,a)].
% 4.42/4.64  Derived: c_times(c_0,A,tc_nat) = c_0.  [resolve(380,a,352,a)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Numeral_Onumber__ring(B).  [resolve(380,a,353,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Power_Orecpower(B).  [resolve(380,a,354,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(380,a,355,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(380,a,356,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__semiring__0__cancel(B).  [resolve(380,a,357,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(380,a,358,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(380,a,359,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oidom(B).  [resolve(380,a,360,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(380,a,361,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(380,a,362,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(380,a,363,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(380,a,364,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(380,a,365,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(380,a,366,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(380,a,367,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(380,a,368,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(380,a,369,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(380,a,370,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Opordered__ring(B).  [resolve(380,a,371,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oring(B).  [resolve(380,a,372,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oring__1(B).  [resolve(380,a,373,b)].
% 4.42/4.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Osemiring__1__cancel(B).  [resolve(380,a,379,b)].
% 4.42/4.64  381 -class_Ring__and__Field_Osemiring__0__cancel(A) | c_times(B,c_0,A) = c_0 # label(cls_Ring__and__Field_Omult__zero__right_0) # label(axiom).  [assumption].
% 4.42/4.64  Derived: c_times(A,c_0,tc_IntDef_Oint) = c_0.  [resolve(381,a,351,a)].
% 4.42/4.64  Derived: c_times(A,c_0,tc_nat) = c_0.  [resolve(381,a,352,a)].
% 4.42/4.64  Derived: c_times(A,c_0,B) = c_0 | -class_Numeral_Onumber__ring(B).  [resolve(381,a,353,b)].
% 4.42/4.64  Derived: c_times(A,c_0,B) = c_0 | -class_Power_Orecpower(B).  [resolve(381,a,354,b)].
% 4.42/4.64  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(381,a,355,b)].
% 4.42/4.64  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(381,a,356,b)].
% 4.42/4.64  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__semiring__0__cancel(B).  [resolve(381,a,357,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(381,a,358,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(381,a,359,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oidom(B).  [resolve(381,a,360,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(381,a,361,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(381,a,362,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(381,a,363,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(381,a,364,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(381,a,365,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(381,a,366,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(381,a,367,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(381,a,368,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(381,a,369,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(381,a,370,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Opordered__ring(B).  [resolve(381,a,371,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oring(B).  [resolve(381,a,372,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oring__1(B).  [resolve(381,a,373,b)].
% 4.53/4.75  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Osemiring__1__cancel(B).  [resolve(381,a,379,b)].
% 4.53/4.75  382 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(108,b,105,b)].
% 4.53/4.75  383 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(109,b,105,b)].
% 4.53/4.75  384 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Osemiring__0__cancel(B).  [resolve(183,a,180,b)].
% 4.53/4.75  385 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Osemiring__0__cancel(B).  [resolve(184,a,180,b)].
% 4.53/4.75  386 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(223,a,218,b)].
% 4.53/4.75  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(386,b,357,b)].
% 4.53/4.75  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(386,b,358,b)].
% 4.53/4.75  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(386,b,359,b)].
% 4.53/4.75  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(386,b,360,b)].
% 4.53/4.75  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(386,b,361,b)].
% 4.53/4.75  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(386,b,362,b)].
% 4.53/4.75  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(386,b,363,b)].
% 4.53/4.75  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(386,b,364,b)].
% 4.53/4.75  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(386,b,365,b)].
% 4.53/4.75  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(386,b,366,b)].
% 4.53/4.75  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(386,b,367,b)].
% 4.53/4.75  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(386,b,368,b)].
% 4.58/4.78  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(386,b,369,b)].
% 4.58/4.78  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(386,b,370,b)].
% 4.58/4.78  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(386,b,371,b)].
% 4.58/4.78  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(386,b,372,b)].
% 4.58/4.78  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(386,b,373,b)].
% 4.58/4.78  387 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(224,a,218,b)].
% 4.58/4.78  388 class_HOL_Oplus(A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(225,a,218,b)].
% 4.58/4.78  389 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Osemiring__0__cancel(C).  [resolve(307,a,305,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Power_Orecpower(C).  [resolve(389,c,354,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(389,c,355,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(389,c,356,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__semiring__0__cancel(C).  [resolve(389,c,357,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__semiring__1__cancel(C).  [resolve(389,c,358,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ofield(C).  [resolve(389,c,359,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oidom(C).  [resolve(389,c,360,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(389,c,361,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(389,c,362,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(389,c,363,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(389,c,364,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(389,c,365,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(389,c,366,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(389,c,367,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(389,c,368,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(389,c,369,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(389,c,370,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(389,c,371,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oring(C).  [resolve(389,c,372,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oring__1(C).  [resolve(389,c,373,b)].
% 4.58/4.78  390 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Osemiring__0__cancel(C).  [resolve(308,a,305,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Power_Orecpower(C).  [resolve(390,c,354,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(390,c,355,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(390,c,356,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__semiring__0__cancel(C).  [resolve(390,c,357,b)].
% 4.58/4.78  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__semiring__1__cancel(C).  [resolve(390,c,358,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ofield(C).  [resolve(390,c,359,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oidom(C).  [resolve(390,c,360,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(390,c,361,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(390,c,362,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(390,c,363,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(390,c,364,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(390,c,365,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(390,c,366,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(390,c,367,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(390,c,368,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(390,c,369,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(390,c,370,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(390,c,371,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oring(C).  [resolve(390,c,372,b)].
% 4.58/4.79  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oring__1(C).  [resolve(390,c,373,b)].
% 4.58/4.79  391 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(346,b,344,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(391,b,351,a)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(tc_nat).  [resolve(391,b,352,a)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(391,b,353,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A).  [resolve(391,b,354,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(391,b,355,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(391,b,356,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(391,b,357,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(391,b,358,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(391,b,359,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(391,b,360,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(391,b,361,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(391,b,362,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(391,b,363,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(391,b,364,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(391,b,365,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(391,b,366,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(391,b,367,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(391,b,368,b)].
% 4.58/4.79  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(391,b,369,b)].
% 4.67/4.87  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(391,b,370,b)].
% 4.67/4.87  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(391,b,371,b)].
% 4.67/4.87  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(391,b,372,b)].
% 4.67/4.87  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(391,b,373,b)].
% 4.67/4.87  392 class_HOL_Oplus(A) | -class_Ring__and__Field_Osemiring__0__cancel(A).  [resolve(347,b,344,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(tc_IntDef_Oint).  [resolve(392,b,351,a)].
% 4.67/4.87  Derived: class_HOL_Oplus(tc_nat).  [resolve(392,b,352,a)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A).  [resolve(392,b,353,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Power_Orecpower(A).  [resolve(392,b,354,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(392,b,355,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(392,b,356,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(392,b,357,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(392,b,358,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A).  [resolve(392,b,359,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A).  [resolve(392,b,360,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(392,b,361,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(392,b,362,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(392,b,363,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(392,b,364,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(392,b,365,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(392,b,366,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(392,b,367,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(392,b,368,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(392,b,369,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(392,b,370,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(392,b,371,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oring(A).  [resolve(392,b,372,b)].
% 4.67/4.87  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(392,b,373,b)].
% 4.67/4.87  393 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oring_1) # label(axiom).  [assumption].
% 4.67/4.87  394 class_Ring__and__Field_Oring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_19) # label(axiom).  [assumption].
% 4.67/4.87  395 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Numeral_Onumber__ring_17) # label(axiom).  [assumption].
% 4.67/4.87  396 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Ocomm__ring_16) # label(axiom).  [assumption].
% 4.67/4.87  397 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_1) # label(axiom).  [assumption].
% 4.67/4.87  398 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Ofield_3) # label(axiom).  [assumption].
% 4.67/4.87  399 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Oidom_3) # label(axiom).  [assumption].
% 4.67/4.87  400 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Olordered__ring_1) # label(axiom).  [assumption].
% 4.67/4.87  401 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Oordered__field_6) # label(axiom).  [assumption].
% 4.72/4.92  402 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Oordered__idom_3) # label(axiom).  [assumption].
% 4.72/4.92  403 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_0) # label(axiom).  [assumption].
% 4.72/4.92  404 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_1) # label(axiom).  [assumption].
% 4.72/4.92  405 -class_Ring__and__Field_Opordered__ring(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Opordered__ring_0) # label(axiom).  [assumption].
% 4.72/4.92  406 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oring_2) # label(axiom).  [assumption].
% 4.72/4.92  407 -class_Ring__and__Field_Oring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Oring_3) # label(axiom).  [assumption].
% 4.72/4.92  408 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oring_4) # label(axiom).  [assumption].
% 4.72/4.92  409 -class_Ring__and__Field_Oring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Oring_5) # label(axiom).  [assumption].
% 4.72/4.92  410 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Oring_6) # label(axiom).  [assumption].
% 4.72/4.92  Derived: class_OrderedGroup_Oab__group__add(tc_IntDef_Oint).  [resolve(410,a,394,a)].
% 4.72/4.92  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(410,a,395,b)].
% 4.72/4.92  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(410,a,396,b)].
% 4.72/4.92  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(410,a,397,b)].
% 4.72/4.92  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(410,a,398,b)].
% 4.72/4.92  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(410,a,399,b)].
% 4.72/4.92  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(410,a,400,b)].
% 4.72/4.92  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(410,a,401,b)].
% 4.72/4.92  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(410,a,402,b)].
% 4.72/4.92  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(410,a,403,b)].
% 4.72/4.92  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(410,a,404,b)].
% 4.72/4.92  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(410,a,405,b)].
% 4.72/4.92  411 -class_Ring__and__Field_Oring(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oring_9) # label(axiom).  [assumption].
% 4.72/4.92  412 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Oring__1_0) # label(axiom).  [assumption].
% 4.72/4.92  413 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oring(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) # label(cls_NatSimprocs_Oleft__diff__distrib__number__of_0) # label(axiom).  [assumption].
% 4.72/4.92  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_minus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(413,b,394,a)].
% 4.72/4.92  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Numeral_Onumber__ring(A).  [resolve(413,b,395,b)].
% 4.72/4.92  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(413,b,396,b)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(413,b,397,b)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(413,b,398,b)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(413,b,399,b)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(413,b,400,b)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(413,b,401,b)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(413,b,402,b)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(413,b,403,b)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(413,b,404,b)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(413,b,405,b)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(413,b,412,b)].
% 4.72/4.93  414 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oring(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) # label(cls_NatSimprocs_Oright__diff__distrib__number__of_0) # label(axiom).  [assumption].
% 4.72/4.93  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_minus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(414,b,394,a)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(414,b,395,b)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(414,b,396,b)].
% 4.72/4.93  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(414,b,397,b)].
% 4.75/4.96  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(414,b,398,b)].
% 4.75/4.96  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(414,b,399,b)].
% 4.75/4.96  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(414,b,400,b)].
% 4.75/4.96  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(414,b,401,b)].
% 4.75/4.96  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(414,b,402,b)].
% 4.75/4.96  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(414,b,403,b)].
% 4.75/4.96  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(414,b,404,b)].
% 4.75/4.96  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(414,b,405,b)].
% 4.75/4.96  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(414,b,412,b)].
% 4.75/4.96  415 -class_Ring__and__Field_Oring(A) | c_times(c_uminus(B,A),c_uminus(C,A),A) = c_times(B,C,A) # label(cls_Ring__and__Field_Ominus__mult__minus_0) # label(axiom).  [assumption].
% 4.75/4.96  Derived: c_times(c_uminus(A,tc_IntDef_Oint),c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint) = c_times(A,B,tc_IntDef_Oint).  [resolve(415,a,394,a)].
% 4.75/4.96  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Numeral_Onumber__ring(B).  [resolve(415,a,395,b)].
% 4.75/4.96  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(415,a,396,b)].
% 4.75/4.96  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(415,a,397,b)].
% 4.75/4.96  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Ofield(B).  [resolve(415,a,398,b)].
% 4.75/4.96  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oidom(B).  [resolve(415,a,399,b)].
% 4.75/4.96  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(415,a,400,b)].
% 4.75/4.96  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(415,a,401,b)].
% 4.75/4.96  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(415,a,402,b)].
% 4.75/4.96  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(415,a,403,b)].
% 4.75/4.96  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(415,a,404,b)].
% 4.75/4.96  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(415,a,405,b)].
% 4.75/4.96  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oring__1(B).  [resolve(415,a,412,b)].
% 4.75/5.03  416 -class_Ring__and__Field_Oring(A) | c_times(c_uminus(B,A),C,A) = c_uminus(c_times(B,C,A),A) # label(cls_Ring__and__Field_Omult__minus__left_0) # label(axiom).  [assumption].
% 4.75/5.03  Derived: c_times(c_uminus(A,tc_IntDef_Oint),B,tc_IntDef_Oint) = c_uminus(c_times(A,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(416,a,394,a)].
% 4.75/5.03  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Numeral_Onumber__ring(B).  [resolve(416,a,395,b)].
% 4.75/5.03  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(416,a,396,b)].
% 4.75/5.03  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(416,a,397,b)].
% 4.75/5.03  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Ofield(B).  [resolve(416,a,398,b)].
% 4.75/5.03  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oidom(B).  [resolve(416,a,399,b)].
% 4.75/5.03  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(416,a,400,b)].
% 4.75/5.03  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(416,a,401,b)].
% 4.75/5.03  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(416,a,402,b)].
% 4.75/5.03  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(416,a,403,b)].
% 4.75/5.03  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(416,a,404,b)].
% 4.75/5.03  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(416,a,405,b)].
% 4.75/5.03  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oring__1(B).  [resolve(416,a,412,b)].
% 4.75/5.03  417 -class_Ring__and__Field_Oring(A) | c_times(B,c_uminus(C,A),A) = c_uminus(c_times(B,C,A),A) # label(cls_Ring__and__Field_Omult__minus__right_0) # label(axiom).  [assumption].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_times(A,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(417,a,394,a)].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Numeral_Onumber__ring(C).  [resolve(417,a,395,b)].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(417,a,396,b)].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(417,a,397,b)].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(417,a,398,b)].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(417,a,399,b)].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(417,a,400,b)].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(417,a,401,b)].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(417,a,402,b)].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(417,a,403,b)].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(417,a,404,b)].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(417,a,405,b)].
% 4.75/5.03  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oring__1(C).  [resolve(417,a,412,b)].
% 4.75/5.03  418 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(71,a,98,b)].
% 4.75/5.03  419 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(100,a,98,b)].
% 4.85/5.06  420 class_HOL_Oplus(A) | -class_Ring__and__Field_Oring(A).  [resolve(101,a,98,b)].
% 4.85/5.06  421 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oring(A).  [resolve(102,a,98,b)].
% 4.85/5.06  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ofield(A).  [resolve(421,b,398,b)].
% 4.85/5.06  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oidom(A).  [resolve(421,b,399,b)].
% 4.85/5.06  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(421,b,400,b)].
% 4.85/5.06  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(421,b,401,b)].
% 4.85/5.06  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(421,b,402,b)].
% 4.85/5.06  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(421,b,403,b)].
% 4.85/5.06  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(421,b,404,b)].
% 4.85/5.06  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(421,b,405,b)].
% 4.85/5.06  422 class_HOL_Otimes(A) | -class_Ring__and__Field_Oring(A).  [resolve(103,a,98,b)].
% 4.85/5.06  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ofield(A).  [resolve(422,b,398,b)].
% 4.85/5.06  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oidom(A).  [resolve(422,b,399,b)].
% 4.85/5.06  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(422,b,400,b)].
% 4.85/5.06  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(422,b,401,b)].
% 4.85/5.06  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(422,b,402,b)].
% 4.85/5.06  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(422,b,403,b)].
% 4.85/5.06  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(422,b,404,b)].
% 4.85/5.06  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(422,b,405,b)].
% 4.85/5.06  423 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oring(A).  [resolve(108,b,98,b)].
% 4.85/5.06  424 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oring(A).  [resolve(109,b,98,b)].
% 4.85/5.06  425 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oring(B).  [resolve(183,a,177,b)].
% 4.85/5.06  426 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oring(B).  [resolve(184,a,177,b)].
% 4.85/5.06  427 class_HOL_Ozero(A) | -class_Ring__and__Field_Oring(A).  [resolve(217,a,211,b)].
% 4.85/5.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A).  [resolve(427,b,398,b)].
% 4.85/5.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A).  [resolve(427,b,399,b)].
% 4.85/5.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(427,b,400,b)].
% 4.85/5.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(427,b,401,b)].
% 4.85/5.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(427,b,402,b)].
% 4.85/5.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(427,b,403,b)].
% 4.85/5.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(427,b,404,b)].
% 4.85/5.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(427,b,405,b)].
% 4.85/5.06  428 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oring(A).  [resolve(221,c,211,b)].
% 4.85/5.06  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(428,c,398,b)].
% 4.85/5.06  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(428,c,399,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(428,c,400,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(428,c,401,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(428,c,402,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(428,c,403,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(428,c,404,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(428,c,405,b)].
% 4.85/5.07  429 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oring(A).  [resolve(222,c,211,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(429,c,398,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(429,c,399,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(429,c,400,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(429,c,401,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(429,c,402,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(429,c,403,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(429,c,404,b)].
% 4.85/5.07  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(429,c,405,b)].
% 4.85/5.07  430 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(223,a,211,b)].
% 4.85/5.07  431 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(224,a,211,b)].
% 4.90/5.11  432 class_HOL_Oplus(A) | -class_Ring__and__Field_Oring(A).  [resolve(225,a,211,b)].
% 4.90/5.11  433 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oring(B).  [resolve(226,b,211,b)].
% 4.90/5.11  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(433,b,398,b)].
% 4.90/5.11  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(433,b,399,b)].
% 4.90/5.11  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(433,b,400,b)].
% 4.90/5.11  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(433,b,401,b)].
% 4.90/5.11  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(433,b,402,b)].
% 4.90/5.11  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(433,b,403,b)].
% 4.90/5.11  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(433,b,404,b)].
% 4.90/5.11  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(433,b,405,b)].
% 4.90/5.11  434 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oring(B).  [resolve(227,b,211,b)].
% 4.90/5.11  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(434,b,398,b)].
% 4.90/5.11  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(434,b,399,b)].
% 4.90/5.11  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(434,b,400,b)].
% 4.90/5.11  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(434,b,401,b)].
% 4.90/5.11  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(434,b,402,b)].
% 4.90/5.11  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(434,b,403,b)].
% 4.90/5.11  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(434,b,404,b)].
% 4.90/5.11  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(434,b,405,b)].
% 4.90/5.11  435 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oring(C).  [resolve(307,a,303,b)].
% 4.90/5.11  436 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oring(C).  [resolve(308,a,303,b)].
% 4.90/5.11  437 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(346,b,342,b)].
% 4.90/5.11  438 class_HOL_Oplus(A) | -class_Ring__and__Field_Oring(A).  [resolve(347,b,342,b)].
% 4.90/5.11  439 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oring(B).  [resolve(380,a,372,b)].
% 4.90/5.11  Derived: c_times(c_0,A,tc_IntDef_Oint) = c_0.  [resolve(439,b,394,a)].
% 4.90/5.11  Derived: c_times(c_0,A,B) = c_0 | -class_Numeral_Onumber__ring(B).  [resolve(439,b,395,b)].
% 4.90/5.11  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(439,b,396,b)].
% 4.90/5.11  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(439,b,397,b)].
% 4.90/5.11  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(439,b,398,b)].
% 4.90/5.11  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oidom(B).  [resolve(439,b,399,b)].
% 4.90/5.11  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(439,b,400,b)].
% 4.90/5.11  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(439,b,401,b)].
% 4.90/5.11  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(439,b,402,b)].
% 4.90/5.11  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(439,b,403,b)].
% 4.90/5.11  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(439,b,404,b)].
% 4.90/5.11  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Opordered__ring(B).  [resolve(439,b,405,b)].
% 4.90/5.11  440 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oring(B).  [resolve(381,a,372,b)].
% 4.90/5.11  Derived: c_times(A,c_0,tc_IntDef_Oint) = c_0.  [resolve(440,b,394,a)].
% 4.90/5.11  Derived: c_times(A,c_0,B) = c_0 | -class_Numeral_Onumber__ring(B).  [resolve(440,b,395,b)].
% 4.90/5.11  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(440,b,396,b)].
% 4.90/5.11  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(440,b,397,b)].
% 4.90/5.11  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(440,b,398,b)].
% 4.90/5.12  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oidom(B).  [resolve(440,b,399,b)].
% 4.90/5.12  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(440,b,400,b)].
% 4.90/5.12  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(440,b,401,b)].
% 4.90/5.12  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(440,b,402,b)].
% 4.90/5.12  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(440,b,403,b)].
% 4.90/5.12  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(440,b,404,b)].
% 4.90/5.12  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Opordered__ring(B).  [resolve(440,b,405,b)].
% 4.90/5.12  441 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(386,b,372,b)].
% 4.90/5.12  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(441,b,394,a)].
% 4.90/5.12  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(441,b,395,b)].
% 4.90/5.12  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(441,b,396,b)].
% 4.90/5.12  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(441,b,397,b)].
% 4.90/5.12  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(441,b,398,b)].
% 4.90/5.12  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(441,b,399,b)].
% 4.90/5.12  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(441,b,400,b)].
% 4.90/5.12  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(441,b,401,b)].
% 4.90/5.12  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(441,b,402,b)].
% 4.90/5.12  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(441,b,403,b)].
% 4.90/5.12  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(441,b,404,b)].
% 4.90/5.12  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(441,b,405,b)].
% 4.90/5.12  442 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oring(C).  [resolve(389,c,372,b)].
% 4.90/5.12  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(A,C,tc_IntDef_Oint) | B = C.  [resolve(442,c,394,a)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Numeral_Onumber__ring(C).  [resolve(442,c,395,b)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(442,c,396,b)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(442,c,397,b)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ofield(C).  [resolve(442,c,398,b)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oidom(C).  [resolve(442,c,399,b)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(442,c,400,b)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(442,c,401,b)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(442,c,402,b)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(442,c,403,b)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(442,c,404,b)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(442,c,405,b)].
% 4.90/5.12  443 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oring(C).  [resolve(390,c,372,b)].
% 4.90/5.12  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(C,B,tc_IntDef_Oint) | A = C.  [resolve(443,c,394,a)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Numeral_Onumber__ring(C).  [resolve(443,c,395,b)].
% 4.90/5.12  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(443,c,396,b)].
% 5.27/5.49  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(443,c,397,b)].
% 5.27/5.49  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ofield(C).  [resolve(443,c,398,b)].
% 5.27/5.49  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oidom(C).  [resolve(443,c,399,b)].
% 5.27/5.49  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(443,c,400,b)].
% 5.27/5.49  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(443,c,401,b)].
% 5.27/5.49  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(443,c,402,b)].
% 5.27/5.49  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(443,c,403,b)].
% 5.27/5.49  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(443,c,404,b)].
% 5.27/5.49  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(443,c,405,b)].
% 5.27/5.49  444 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring(A).  [resolve(391,b,372,b)].
% 5.27/5.49  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(444,b,394,a)].
% 5.27/5.49  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(444,b,395,b)].
% 5.27/5.49  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(444,b,396,b)].
% 5.27/5.49  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(444,b,397,b)].
% 5.27/5.49  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(444,b,398,b)].
% 5.27/5.49  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(444,b,399,b)].
% 5.27/5.49  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(444,b,400,b)].
% 5.27/5.49  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(444,b,401,b)].
% 5.27/5.49  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(444,b,402,b)].
% 5.27/5.49  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(444,b,403,b)].
% 5.27/5.49  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(444,b,404,b)].
% 5.27/5.49  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(444,b,405,b)].
% 5.27/5.49  445 class_HOL_Oplus(A) | -class_Ring__and__Field_Oring(A).  [resolve(392,b,372,b)].
% 5.27/5.49  Derived: class_HOL_Oplus(tc_IntDef_Oint).  [resolve(445,b,394,a)].
% 5.27/5.49  Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A).  [resolve(445,b,395,b)].
% 5.27/5.49  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(445,b,396,b)].
% 5.27/5.49  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(445,b,397,b)].
% 5.27/5.49  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A).  [resolve(445,b,398,b)].
% 5.27/5.49  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A).  [resolve(445,b,399,b)].
% 5.27/5.49  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(445,b,400,b)].
% 5.27/5.49  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(445,b,401,b)].
% 5.27/5.49  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(445,b,402,b)].
% 5.27/5.49  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(445,b,403,b)].
% 5.27/5.49  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(445,b,404,b)].
% 5.27/5.49  Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(445,b,405,b)].
% 5.27/5.49  446 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_11) # label(axiom).  [assumption].
% 5.27/5.49  447 class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_20) # label(axiom).  [assumption].
% 5.35/5.63  448 class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) # label(clsarity_nat_31) # label(axiom).  [assumption].
% 5.35/5.63  449 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Numeral_Onumber__ring_18) # label(axiom).  [assumption].
% 5.35/5.63  450 -class_Power_Orecpower(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Power_Orecpower_23) # label(axiom).  [assumption].
% 5.35/5.63  451 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__ring_18) # label(axiom).  [assumption].
% 5.35/5.63  452 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_4) # label(axiom).  [assumption].
% 5.35/5.63  453 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_2) # label(axiom).  [assumption].
% 5.35/5.64  454 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_5) # label(axiom).  [assumption].
% 5.35/5.64  455 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_6) # label(axiom).  [assumption].
% 5.35/5.64  456 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_8) # label(axiom).  [assumption].
% 5.35/5.64  457 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_9) # label(axiom).  [assumption].
% 5.35/5.64  458 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_22) # label(axiom).  [assumption].
% 5.35/5.64  459 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ofield_14) # label(axiom).  [assumption].
% 5.35/5.64  460 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oidom_14) # label(axiom).  [assumption].
% 5.35/5.64  461 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__field_17) # label(axiom).  [assumption].
% 5.35/5.64  462 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__idom_14) # label(axiom).  [assumption].
% 5.35/5.64  463 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__semidom_8) # label(axiom).  [assumption].
% 5.35/5.64  464 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_4) # label(axiom).  [assumption].
% 5.35/5.64  465 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(71,a,80,b)].
% 5.35/5.64  466 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(100,a,80,b)].
% 5.35/5.64  467 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(102,a,80,b)].
% 5.35/5.64  468 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(103,a,80,b)].
% 5.35/5.64  469 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(108,b,80,b)].
% 5.35/5.64  470 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(109,b,80,b)].
% 5.35/5.64  471 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_HOL_Ozero(A).  [resolve(159,b,142,a)].
% 5.45/5.69  472 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__0__cancel(B).  [resolve(183,a,159,b)].
% 5.45/5.69  473 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__0__cancel(B).  [resolve(184,a,159,b)].
% 5.45/5.69  474 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(221,c,193,b)].
% 5.45/5.69  475 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(222,c,193,b)].
% 5.45/5.69  476 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(223,a,193,b)].
% 5.45/5.69  477 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(224,a,193,b)].
% 5.45/5.69  478 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__0__cancel(B).  [resolve(226,b,193,b)].
% 5.45/5.69  479 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__0__cancel(B).  [resolve(227,b,193,b)].
% 5.45/5.69  480 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(262,b,241,b)].
% 5.45/5.69  Derived: class_HOL_Ozero(tc_IntDef_Oint).  [resolve(480,b,447,a)].
% 5.45/5.69  Derived: class_HOL_Ozero(tc_nat).  [resolve(480,b,448,a)].
% 5.45/5.69  Derived: class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A).  [resolve(480,b,449,b)].
% 5.45/5.69  Derived: class_HOL_Ozero(A) | -class_Power_Orecpower(A).  [resolve(480,b,450,b)].
% 5.45/5.69  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(480,b,451,b)].
% 5.45/5.69  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(480,b,452,b)].
% 5.45/5.69  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(480,b,463,b)].
% 5.45/5.69  481 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__semiring__0__cancel(C).  [resolve(307,a,288,b)].
% 5.45/5.69  482 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__semiring__0__cancel(C).  [resolve(308,a,288,b)].
% 5.45/5.69  483 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(346,b,327,b)].
% 5.45/5.69  484 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__semiring__0__cancel(B).  [resolve(380,a,357,b)].
% 5.45/5.69  Derived: c_times(c_0,A,tc_nat) = c_0.  [resolve(484,b,448,a)].
% 5.45/5.69  Derived: c_times(c_0,A,B) = c_0 | -class_Power_Orecpower(B).  [resolve(484,b,450,b)].
% 5.45/5.69  485 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__semiring__0__cancel(B).  [resolve(381,a,357,b)].
% 5.45/5.69  Derived: c_times(A,c_0,tc_nat) = c_0.  [resolve(485,b,448,a)].
% 5.45/5.69  Derived: c_times(A,c_0,B) = c_0 | -class_Power_Orecpower(B).  [resolve(485,b,450,b)].
% 5.45/5.69  486 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(386,b,357,b)].
% 5.45/5.69  Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat).  [resolve(486,b,448,a)].
% 5.45/5.69  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A).  [resolve(486,b,450,b)].
% 5.45/5.69  487 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__semiring__0__cancel(C).  [resolve(389,c,357,b)].
% 5.45/5.69  Derived: c_plus(A,B,tc_nat) != c_plus(A,C,tc_nat) | B = C.  [resolve(487,c,448,a)].
% 5.45/5.69  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Power_Orecpower(C).  [resolve(487,c,450,b)].
% 5.45/5.69  488 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__semiring__0__cancel(C).  [resolve(390,c,357,b)].
% 5.45/5.69  Derived: c_plus(A,B,tc_nat) != c_plus(C,B,tc_nat) | A = C.  [resolve(488,c,448,a)].
% 5.45/5.69  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Power_Orecpower(C).  [resolve(488,c,450,b)].
% 5.45/5.69  489 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A).  [resolve(391,b,357,b)].
% 5.45/5.69  Derived: class_OrderedGroup_Osemigroup__add(tc_nat).  [resolve(489,b,448,a)].
% 5.45/5.69  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A).  [resolve(489,b,450,b)].
% 5.68/5.91  490 -class_Ring__and__Field_Ocomm__ring(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Ocomm__ring_11) # label(axiom).  [assumption].
% 5.68/5.91  491 class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_21) # label(axiom).  [assumption].
% 5.68/5.91  492 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Numeral_Onumber__ring_19) # label(axiom).  [assumption].
% 5.68/5.91  493 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring_12) # label(axiom).  [assumption].
% 5.68/5.91  494 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__ring_2) # label(axiom).  [assumption].
% 5.68/5.91  495 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__ring_5) # label(axiom).  [assumption].
% 5.68/5.91  496 -class_Ring__and__Field_Ocomm__ring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ocomm__ring_6) # label(axiom).  [assumption].
% 5.68/5.91  497 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring_8) # label(axiom).  [assumption].
% 5.68/5.91  498 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring_9) # label(axiom).  [assumption].
% 5.68/5.91  499 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_0) # label(axiom).  [assumption].
% 5.68/5.91  500 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Ring__and__Field_Ofield_1) # label(axiom).  [assumption].
% 5.68/5.91  501 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Ring__and__Field_Oidom_1) # label(axiom).  [assumption].
% 5.68/5.91  502 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Ring__and__Field_Oordered__field_4) # label(axiom).  [assumption].
% 5.68/5.91  Derived: -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Oab__semigroup__mult(A).  [resolve(502,b,494,a)].
% 5.68/5.91  503 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Ring__and__Field_Oordered__idom_1) # label(axiom).  [assumption].
% 5.68/5.91  504 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_0) # label(axiom).  [assumption].
% 5.68/5.91  505 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(71,a,76,b)].
% 5.68/5.91  506 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(100,a,76,b)].
% 5.68/5.91  507 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(102,a,76,b)].
% 5.68/5.91  508 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(103,a,76,b)].
% 5.68/5.91  509 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(108,b,76,b)].
% 5.68/5.91  510 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(109,b,76,b)].
% 5.68/5.91  511 class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(119,a,115,b)].
% 5.68/5.91  Derived: class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint).  [resolve(511,b,491,a)].
% 5.68/5.91  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Numeral_Onumber__ring(A).  [resolve(511,b,492,b)].
% 5.68/5.91  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Ofield(A).  [resolve(511,b,500,b)].
% 5.68/5.91  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oidom(A).  [resolve(511,b,501,b)].
% 5.68/5.91  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(511,b,503,b)].
% 5.68/5.91  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(511,b,504,b)].
% 5.74/5.94  512 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(135,b,115,b)].
% 5.74/5.94  513 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(136,b,115,b)].
% 5.74/5.94  514 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(138,b,115,b)].
% 5.74/5.94  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(514,b,491,a)].
% 5.74/5.94  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A).  [resolve(514,b,492,b)].
% 5.74/5.94  515 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(139,b,115,b)].
% 5.74/5.94  Derived: class_HOL_Otimes(tc_IntDef_Oint).  [resolve(515,b,491,a)].
% 5.74/5.94  Derived: class_HOL_Otimes(A) | -class_Numeral_Onumber__ring(A).  [resolve(515,b,492,b)].
% 5.74/5.94  516 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(140,c,115,b)].
% 5.74/5.94  517 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(141,c,115,b)].
% 5.74/5.94  518 -class_Ring__and__Field_Ocomm__ring(A) | class_HOL_Ozero(A).  [resolve(156,b,142,a)].
% 5.74/5.94  519 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(183,a,156,b)].
% 5.74/5.94  520 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(184,a,156,b)].
% 5.74/5.94  521 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(223,a,190,b)].
% 5.74/5.94  522 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(224,a,190,b)].
% 5.74/5.94  523 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(226,b,190,b)].
% 5.74/5.94  524 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(227,b,190,b)].
% 5.74/5.94  525 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(262,b,233,b)].
% 5.74/5.94  526 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(263,c,233,b)].
% 5.74/5.94  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_plus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(526,c,491,a)].
% 5.74/5.94  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Numeral_Onumber__ring(A).  [resolve(526,c,492,b)].
% 5.74/5.94  527 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(264,c,233,b)].
% 5.74/5.94  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(527,c,491,a)].
% 5.74/5.94  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(527,c,492,b)].
% 5.74/5.94  528 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(265,b,233,b)].
% 5.74/5.94  529 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(266,b,233,b)].
% 5.74/5.94  530 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(268,b,233,b)].
% 5.74/5.94  Derived: c_plus(A,c_0,tc_IntDef_Oint) = A.  [resolve(530,b,491,a)].
% 5.76/5.98  Derived: c_plus(A,c_0,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(530,b,492,b)].
% 5.76/5.98  531 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(269,b,233,b)].
% 5.76/5.98  Derived: c_plus(c_0,A,tc_IntDef_Oint) = A.  [resolve(531,b,491,a)].
% 5.76/5.98  Derived: c_plus(c_0,A,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(531,b,492,b)].
% 5.76/5.98  532 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(307,a,286,b)].
% 5.76/5.98  533 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(308,a,286,b)].
% 5.76/5.98  534 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(346,b,325,b)].
% 5.76/5.98  535 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(380,a,355,b)].
% 5.76/5.98  536 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(381,a,355,b)].
% 5.76/5.98  537 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(389,c,355,b)].
% 5.76/5.98  538 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(390,c,355,b)].
% 5.76/5.98  539 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(391,b,355,b)].
% 5.76/5.98  540 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(410,a,396,b)].
% 5.76/5.98  Derived: class_OrderedGroup_Oab__group__add(tc_IntDef_Oint).  [resolve(540,b,491,a)].
% 5.76/5.98  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(540,b,492,b)].
% 5.76/5.98  541 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(413,b,396,b)].
% 5.76/5.98  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_minus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(541,c,491,a)].
% 5.76/5.98  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Numeral_Onumber__ring(A).  [resolve(541,c,492,b)].
% 5.76/5.98  542 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(414,b,396,b)].
% 5.76/5.98  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_minus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(542,c,491,a)].
% 5.76/5.98  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(542,c,492,b)].
% 5.76/5.98  543 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(415,a,396,b)].
% 5.76/5.98  Derived: c_times(c_uminus(A,tc_IntDef_Oint),c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint) = c_times(A,B,tc_IntDef_Oint).  [resolve(543,b,491,a)].
% 5.76/5.98  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Numeral_Onumber__ring(B).  [resolve(543,b,492,b)].
% 5.76/5.98  544 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(416,a,396,b)].
% 5.76/5.98  Derived: c_times(c_uminus(A,tc_IntDef_Oint),B,tc_IntDef_Oint) = c_uminus(c_times(A,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(544,b,491,a)].
% 5.76/5.98  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Numeral_Onumber__ring(B).  [resolve(544,b,492,b)].
% 5.76/5.98  545 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(417,a,396,b)].
% 5.76/5.98  Derived: c_times(A,c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_times(A,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(545,b,491,a)].
% 5.83/6.06  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Numeral_Onumber__ring(C).  [resolve(545,b,492,b)].
% 5.83/6.06  546 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(439,b,396,b)].
% 5.83/6.06  Derived: c_times(c_0,A,tc_IntDef_Oint) = c_0.  [resolve(546,b,491,a)].
% 5.83/6.06  Derived: c_times(c_0,A,B) = c_0 | -class_Numeral_Onumber__ring(B).  [resolve(546,b,492,b)].
% 5.83/6.06  547 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__ring(B).  [resolve(440,b,396,b)].
% 5.83/6.06  Derived: c_times(A,c_0,tc_IntDef_Oint) = c_0.  [resolve(547,b,491,a)].
% 5.83/6.06  Derived: c_times(A,c_0,B) = c_0 | -class_Numeral_Onumber__ring(B).  [resolve(547,b,492,b)].
% 5.83/6.06  548 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(441,b,396,b)].
% 5.83/6.06  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(548,b,491,a)].
% 5.83/6.06  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(548,b,492,b)].
% 5.83/6.06  549 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(442,c,396,b)].
% 5.83/6.06  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(A,C,tc_IntDef_Oint) | B = C.  [resolve(549,c,491,a)].
% 5.83/6.06  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Numeral_Onumber__ring(C).  [resolve(549,c,492,b)].
% 5.83/6.06  550 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__ring(C).  [resolve(443,c,396,b)].
% 5.83/6.06  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(C,B,tc_IntDef_Oint) | A = C.  [resolve(550,c,491,a)].
% 5.83/6.06  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Numeral_Onumber__ring(C).  [resolve(550,c,492,b)].
% 5.83/6.06  551 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(444,b,396,b)].
% 5.83/6.06  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(551,b,491,a)].
% 5.83/6.06  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(551,b,492,b)].
% 5.83/6.06  552 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring(A).  [resolve(480,b,451,b)].
% 5.83/6.06  Derived: class_HOL_Ozero(tc_IntDef_Oint).  [resolve(552,b,491,a)].
% 5.83/6.06  Derived: class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A).  [resolve(552,b,492,b)].
% 5.83/6.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A).  [resolve(552,b,500,b)].
% 5.83/6.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A).  [resolve(552,b,501,b)].
% 5.83/6.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(552,b,502,b)].
% 5.83/6.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(552,b,503,b)].
% 5.83/6.06  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(552,b,504,b)].
% 5.83/6.06  553 -class_Ring__and__Field_Oaxclass__0__neq__1(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oaxclass__0__neq__1_0) # label(axiom).  [assumption].
% 5.83/6.06  554 class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_22) # label(axiom).  [assumption].
% 5.83/6.06  555 class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) # label(clsarity_nat_13) # label(axiom).  [assumption].
% 5.83/6.06  556 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Numeral_Onumber__ring_21) # label(axiom).  [assumption].
% 5.83/6.06  557 -class_Power_Orecpower(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Power_Orecpower_3) # label(axiom).  [assumption].
% 5.83/6.06  558 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_23) # label(axiom).  [assumption].
% 5.83/6.06  559 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_0) # label(axiom).  [assumption].
% 5.83/6.06  560 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_6) # label(axiom).  [assumption].
% 5.83/6.06  561 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Ofield_11) # label(axiom).  [assumption].
% 5.96/6.17  562 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Oidom_11) # label(axiom).  [assumption].
% 5.96/6.17  563 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Oordered__field_14) # label(axiom).  [assumption].
% 5.96/6.17  564 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Oordered__idom_11) # label(axiom).  [assumption].
% 5.96/6.17  565 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Oordered__semidom_5) # label(axiom).  [assumption].
% 5.96/6.17  566 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Oring__1_16) # label(axiom).  [assumption].
% 5.96/6.17  567 -class_Ring__and__Field_Osemiring__1(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Osemiring__1_0) # label(axiom).  [assumption].
% 5.96/6.17  568 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_1) # label(axiom).  [assumption].
% 5.96/6.17  569 -class_Ring__and__Field_Oaxclass__0__neq__1(A) | c_0 != c_1 # label(cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) # label(axiom).  [assumption].
% 5.96/6.17  Derived: c_0 != c_1.  [resolve(569,a,554,a)].
% 5.96/6.17  570 -class_Ring__and__Field_Oaxclass__0__neq__1(A) | c_1 != c_0 # label(cls_Ring__and__Field_Oone__neq__zero_0) # label(axiom).  [assumption].
% 5.96/6.17  Derived: c_1 != c_0.  [resolve(570,a,554,a)].
% 5.96/6.17  571 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(43,a,50,b)].
% 5.96/6.17  Derived: -class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) | c_uminus(A,tc_IntDef_Oint) != c_1 | A = c_uminus(c_1,tc_IntDef_Oint).  [resolve(571,d,554,a)].
% 5.96/6.17  Derived: -class_OrderedGroup_Oab__group__add(tc_nat) | c_uminus(A,tc_nat) != c_1 | A = c_uminus(c_1,tc_nat).  [resolve(571,d,555,a)].
% 5.96/6.17  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(571,d,556,b)].
% 5.96/6.17  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Power_Orecpower(A).  [resolve(571,d,557,b)].
% 5.96/6.17  572 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(63,a,50,b)].
% 5.96/6.17  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(572,d,554,a)].
% 5.96/6.17  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(c_1,c_uminus(A,tc_nat),tc_nat) | c_lessequals(A,c_uminus(c_1,tc_nat),tc_nat).  [resolve(572,d,555,a)].
% 5.96/6.17  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(572,d,556,b)].
% 5.96/6.17  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Power_Orecpower(A).  [resolve(572,d,557,b)].
% 5.96/6.17  573 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(64,a,50,b)].
% 5.96/6.17  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(573,d,554,a)].
% 5.96/6.17  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(A,c_uminus(c_1,tc_nat),tc_nat) | c_lessequals(c_1,c_uminus(A,tc_nat),tc_nat).  [resolve(573,d,555,a)].
% 5.96/6.17  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(573,d,556,b)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Power_Orecpower(A).  [resolve(573,d,557,b)].
% 5.96/6.18  574 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(65,a,50,b)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(574,d,554,a)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_1,c_uminus(A,tc_nat),tc_nat) | c_less(A,c_uminus(c_1,tc_nat),tc_nat).  [resolve(574,d,555,a)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(574,d,556,b)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Power_Orecpower(A).  [resolve(574,d,557,b)].
% 5.96/6.18  575 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(66,a,50,b)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(575,d,554,a)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(A,c_uminus(c_1,tc_nat),tc_nat) | c_less(c_1,c_uminus(A,tc_nat),tc_nat).  [resolve(575,d,555,a)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(575,d,556,b)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Power_Orecpower(A).  [resolve(575,d,557,b)].
% 5.96/6.18  576 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(67,a,50,b)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | c_lessequals(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint).  [resolve(576,d,554,a)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(c_uminus(A,tc_nat),c_1,tc_nat) | c_lessequals(c_uminus(c_1,tc_nat),A,tc_nat).  [resolve(576,d,555,a)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Numeral_Onumber__ring(A).  [resolve(576,d,556,b)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Power_Orecpower(A).  [resolve(576,d,557,b)].
% 5.96/6.18  577 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(68,a,50,b)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(577,d,554,a)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(c_uminus(c_1,tc_nat),A,tc_nat) | c_lessequals(c_uminus(A,tc_nat),c_1,tc_nat).  [resolve(577,d,555,a)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(577,d,556,b)].
% 5.96/6.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Power_Orecpower(A).  [resolve(577,d,557,b)].
% 5.96/6.18  578 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(69,a,50,b)].
% 6.13/6.34  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | c_less(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint).  [resolve(578,d,554,a)].
% 6.13/6.34  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_uminus(A,tc_nat),c_1,tc_nat) | c_less(c_uminus(c_1,tc_nat),A,tc_nat).  [resolve(578,d,555,a)].
% 6.13/6.34  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Numeral_Onumber__ring(A).  [resolve(578,d,556,b)].
% 6.13/6.34  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Power_Orecpower(A).  [resolve(578,d,557,b)].
% 6.13/6.34  579 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oaxclass__0__neq__1(A).  [resolve(70,a,50,b)].
% 6.13/6.34  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(579,d,554,a)].
% 6.13/6.34  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_uminus(c_1,tc_nat),A,tc_nat) | c_less(c_uminus(A,tc_nat),c_1,tc_nat).  [resolve(579,d,555,a)].
% 6.13/6.34  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(579,d,556,b)].
% 6.13/6.34  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Power_Orecpower(A).  [resolve(579,d,557,b)].
% 6.13/6.34  580 -class_OrderedGroup_Omonoid__mult(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_OrderedGroup_Omonoid__mult_1) # label(axiom).  [assumption].
% 6.13/6.34  581 class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_23) # label(axiom).  [assumption].
% 6.13/6.34  582 class_OrderedGroup_Omonoid__mult(tc_nat) # label(clsarity_nat_23) # label(axiom).  [assumption].
% 6.13/6.34  583 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Numeral_Onumber__ring_22) # label(axiom).  [assumption].
% 6.13/6.34  584 -class_OrderedGroup_Ocomm__monoid__mult(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_OrderedGroup_Ocomm__monoid__mult_4) # label(axiom).  [assumption].
% 6.13/6.34  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(580,a,584,b)].
% 6.13/6.34  585 -class_OrderedGroup_Omonoid__mult(A) | class_HOL_Otimes(A) # label(clsrel_OrderedGroup_Omonoid__mult_2) # label(axiom).  [assumption].
% 6.13/6.34  Derived: class_HOL_Otimes(A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(585,a,584,b)].
% 6.13/6.34  586 -class_Power_Orecpower(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Power_Orecpower_15) # label(axiom).  [assumption].
% 6.13/6.34  587 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_24) # label(axiom).  [assumption].
% 6.13/6.34  588 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_15) # label(axiom).  [assumption].
% 6.13/6.34  589 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_14) # label(axiom).  [assumption].
% 6.13/6.34  590 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Ofield_12) # label(axiom).  [assumption].
% 6.13/6.34  591 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Oidom_12) # label(axiom).  [assumption].
% 6.13/6.34  592 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Oordered__field_15) # label(axiom).  [assumption].
% 6.13/6.34  593 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Oordered__idom_12) # label(axiom).  [assumption].
% 6.24/6.45  594 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Oordered__semidom_6) # label(axiom).  [assumption].
% 6.24/6.45  595 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Oring__1_17) # label(axiom).  [assumption].
% 6.24/6.45  596 -class_Ring__and__Field_Osemiring__1(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Osemiring__1_11) # label(axiom).  [assumption].
% 6.24/6.45  597 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_9) # label(axiom).  [assumption].
% 6.24/6.45  598 -class_OrderedGroup_Omonoid__mult(A) | c_times(c_1,B,A) = B # label(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) # label(axiom).  [assumption].
% 6.24/6.45  Derived: c_times(c_1,A,tc_IntDef_Oint) = A.  [resolve(598,a,581,a)].
% 6.24/6.45  Derived: c_times(c_1,A,tc_nat) = A.  [resolve(598,a,582,a)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(598,a,583,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_OrderedGroup_Ocomm__monoid__mult(B).  [resolve(598,a,584,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Power_Orecpower(B).  [resolve(598,a,586,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(598,a,587,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(598,a,588,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(598,a,589,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(598,a,590,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(598,a,591,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(598,a,592,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(598,a,593,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(598,a,594,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(598,a,595,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Osemiring__1(B).  [resolve(598,a,596,b)].
% 6.24/6.45  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Osemiring__1__cancel(B).  [resolve(598,a,597,b)].
% 6.24/6.45  599 -class_OrderedGroup_Omonoid__mult(A) | c_times(B,c_1,A) = B # label(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__2_0) # label(axiom).  [assumption].
% 6.24/6.45  Derived: c_times(A,c_1,tc_IntDef_Oint) = A.  [resolve(599,a,581,a)].
% 6.24/6.45  Derived: c_times(A,c_1,tc_nat) = A.  [resolve(599,a,582,a)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(599,a,583,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_OrderedGroup_Ocomm__monoid__mult(B).  [resolve(599,a,584,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Power_Orecpower(B).  [resolve(599,a,586,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(599,a,587,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(599,a,588,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(599,a,589,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(599,a,590,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(599,a,591,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(599,a,592,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(599,a,593,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(599,a,594,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(599,a,595,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Osemiring__1(B).  [resolve(599,a,596,b)].
% 6.24/6.45  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Osemiring__1__cancel(B).  [resolve(599,a,597,b)].
% 6.24/6.45  600 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(43,a,48,b)].
% 6.44/6.63  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(600,d,584,b)].
% 6.44/6.63  601 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(63,a,48,b)].
% 6.44/6.63  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(601,d,584,b)].
% 6.44/6.63  602 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(64,a,48,b)].
% 6.44/6.63  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(602,d,584,b)].
% 6.44/6.63  603 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(65,a,48,b)].
% 6.44/6.63  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(603,d,584,b)].
% 6.44/6.63  604 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(66,a,48,b)].
% 6.44/6.63  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(604,d,584,b)].
% 6.44/6.63  605 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(67,a,48,b)].
% 6.44/6.63  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(605,d,584,b)].
% 6.44/6.63  606 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(68,a,48,b)].
% 6.44/6.63  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(606,d,584,b)].
% 6.44/6.63  607 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(69,a,48,b)].
% 6.44/6.63  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(607,d,584,b)].
% 6.44/6.63  608 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_OrderedGroup_Omonoid__mult(A).  [resolve(70,a,48,b)].
% 6.44/6.63  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(608,d,584,b)].
% 6.44/6.63  609 -class_OrderedGroup_Ocomm__monoid__mult(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_OrderedGroup_Ocomm__monoid__mult_1) # label(axiom).  [assumption].
% 6.44/6.63  610 class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_24) # label(axiom).  [assumption].
% 6.44/6.63  611 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) # label(clsarity_nat_24) # label(axiom).  [assumption].
% 6.44/6.63  612 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Numeral_Onumber__ring_23) # label(axiom).  [assumption].
% 6.44/6.63  613 -class_OrderedGroup_Ocomm__monoid__mult(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_OrderedGroup_Ocomm__monoid__mult_2) # label(axiom).  [assumption].
% 6.44/6.63  614 -class_OrderedGroup_Ocomm__monoid__mult(A) | class_HOL_Otimes(A) # label(clsrel_OrderedGroup_Ocomm__monoid__mult_3) # label(axiom).  [assumption].
% 6.62/6.84  615 -class_Power_Orecpower(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Power_Orecpower_16) # label(axiom).  [assumption].
% 6.62/6.84  616 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_21) # label(axiom).  [assumption].
% 6.62/6.84  617 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_14) # label(axiom).  [assumption].
% 6.62/6.84  618 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_3) # label(axiom).  [assumption].
% 6.62/6.84  619 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Ofield_8) # label(axiom).  [assumption].
% 6.62/6.84  620 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Oidom_8) # label(axiom).  [assumption].
% 6.62/6.84  621 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Oordered__field_11) # label(axiom).  [assumption].
% 6.62/6.84  622 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Oordered__idom_8) # label(axiom).  [assumption].
% 6.62/6.84  623 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Oordered__semidom_2) # label(axiom).  [assumption].
% 6.62/6.84  624 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(43,a,47,b)].
% 6.62/6.84  625 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(63,a,47,b)].
% 6.62/6.84  626 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(64,a,47,b)].
% 6.62/6.84  627 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(65,a,47,b)].
% 6.62/6.84  628 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(66,a,47,b)].
% 6.62/6.84  629 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(67,a,47,b)].
% 6.62/6.84  630 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(68,a,47,b)].
% 6.62/6.84  631 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(69,a,47,b)].
% 6.62/6.84  632 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(70,a,47,b)].
% 6.62/6.84  633 class_OrderedGroup_Osemigroup__mult(A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(580,a,584,b)].
% 6.62/6.84  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(633,b,610,a)].
% 6.62/6.84  Derived: class_OrderedGroup_Osemigroup__mult(tc_nat).  [resolve(633,b,611,a)].
% 6.62/6.84  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A).  [resolve(633,b,612,b)].
% 6.62/6.84  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Power_Orecpower(A).  [resolve(633,b,615,b)].
% 6.62/6.84  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(633,b,616,b)].
% 6.62/6.84  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(633,b,617,b)].
% 6.62/6.84  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(633,b,618,b)].
% 6.62/6.84  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ofield(A).  [resolve(633,b,619,b)].
% 6.62/6.84  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oidom(A).  [resolve(633,b,620,b)].
% 6.62/6.84  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(633,b,621,b)].
% 6.62/6.84  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(633,b,622,b)].
% 6.62/6.84  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(633,b,623,b)].
% 6.62/6.84  634 class_HOL_Otimes(A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(585,a,584,b)].
% 6.62/6.84  Derived: class_HOL_Otimes(tc_IntDef_Oint).  [resolve(634,b,610,a)].
% 6.62/6.84  Derived: class_HOL_Otimes(tc_nat).  [resolve(634,b,611,a)].
% 6.62/6.84  Derived: class_HOL_Otimes(A) | -class_Numeral_Onumber__ring(A).  [resolve(634,b,612,b)].
% 6.62/6.84  Derived: class_HOL_Otimes(A) | -class_Power_Orecpower(A).  [resolve(634,b,615,b)].
% 6.62/6.84  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(634,b,616,b)].
% 6.62/6.84  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(634,b,617,b)].
% 6.62/6.84  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(634,b,618,b)].
% 6.62/6.84  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ofield(A).  [resolve(634,b,619,b)].
% 6.62/6.84  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oidom(A).  [resolve(634,b,620,b)].
% 6.62/6.84  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(634,b,621,b)].
% 6.62/6.84  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(634,b,622,b)].
% 6.62/6.84  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(634,b,623,b)].
% 6.62/6.84  635 c_times(c_1,A,B) = A | -class_OrderedGroup_Ocomm__monoid__mult(B).  [resolve(598,a,584,b)].
% 6.62/6.84  Derived: c_times(c_1,A,tc_IntDef_Oint) = A.  [resolve(635,b,610,a)].
% 6.62/6.84  Derived: c_times(c_1,A,tc_nat) = A.  [resolve(635,b,611,a)].
% 6.62/6.84  Derived: c_times(c_1,A,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(635,b,612,b)].
% 6.62/6.84  636 c_times(A,c_1,B) = A | -class_OrderedGroup_Ocomm__monoid__mult(B).  [resolve(599,a,584,b)].
% 6.62/6.84  Derived: c_times(A,c_1,tc_IntDef_Oint) = A.  [resolve(636,b,610,a)].
% 6.62/6.84  Derived: c_times(A,c_1,tc_nat) = A.  [resolve(636,b,611,a)].
% 6.62/6.84  Derived: c_times(A,c_1,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(636,b,612,b)].
% 6.62/6.84  637 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(600,d,584,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) | c_uminus(A,tc_IntDef_Oint) != c_1 | A = c_uminus(c_1,tc_IntDef_Oint).  [resolve(637,d,610,a)].
% 6.62/6.84  Derived: -class_OrderedGroup_Oab__group__add(tc_nat) | c_uminus(A,tc_nat) != c_1 | A = c_uminus(c_1,tc_nat).  [resolve(637,d,611,a)].
% 6.62/6.84  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(637,d,612,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Power_Orecpower(A).  [resolve(637,d,615,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(637,d,616,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(637,d,617,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(637,d,618,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(637,d,619,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(637,d,620,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(637,d,621,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(637,d,622,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(637,d,623,b)].
% 6.62/6.84  638 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(601,d,584,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(638,d,610,a)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(c_1,c_uminus(A,tc_nat),tc_nat) | c_lessequals(A,c_uminus(c_1,tc_nat),tc_nat).  [resolve(638,d,611,a)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(638,d,612,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Power_Orecpower(A).  [resolve(638,d,615,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(638,d,616,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(638,d,617,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(638,d,618,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(638,d,619,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(638,d,620,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(638,d,621,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(638,d,622,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(638,d,623,b)].
% 6.62/6.84  639 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(602,d,584,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(639,d,610,a)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(A,c_uminus(c_1,tc_nat),tc_nat) | c_lessequals(c_1,c_uminus(A,tc_nat),tc_nat).  [resolve(639,d,611,a)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(639,d,612,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Power_Orecpower(A).  [resolve(639,d,615,b)].
% 6.62/6.84  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(639,d,616,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(639,d,617,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(639,d,618,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(639,d,619,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(639,d,620,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(639,d,621,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(639,d,622,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(639,d,623,b)].
% 6.62/6.85  640 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(603,d,584,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(640,d,610,a)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_1,c_uminus(A,tc_nat),tc_nat) | c_less(A,c_uminus(c_1,tc_nat),tc_nat).  [resolve(640,d,611,a)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(640,d,612,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Power_Orecpower(A).  [resolve(640,d,615,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(640,d,616,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(640,d,617,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(640,d,618,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(640,d,619,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(640,d,620,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(640,d,621,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(640,d,622,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(640,d,623,b)].
% 6.62/6.85  641 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(604,d,584,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(641,d,610,a)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(A,c_uminus(c_1,tc_nat),tc_nat) | c_less(c_1,c_uminus(A,tc_nat),tc_nat).  [resolve(641,d,611,a)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(641,d,612,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Power_Orecpower(A).  [resolve(641,d,615,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(641,d,616,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(641,d,617,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(641,d,618,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(641,d,619,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(641,d,620,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(641,d,621,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(641,d,622,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(641,d,623,b)].
% 6.62/6.85  642 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(605,d,584,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | c_lessequals(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint).  [resolve(642,d,610,a)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(c_uminus(A,tc_nat),c_1,tc_nat) | c_lessequals(c_uminus(c_1,tc_nat),A,tc_nat).  [resolve(642,d,611,a)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Numeral_Onumber__ring(A).  [resolve(642,d,612,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Power_Orecpower(A).  [resolve(642,d,615,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(642,d,616,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(642,d,617,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(642,d,618,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(642,d,619,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(642,d,620,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(642,d,621,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(642,d,622,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(642,d,623,b)].
% 6.62/6.85  643 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(606,d,584,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(643,d,610,a)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(c_uminus(c_1,tc_nat),A,tc_nat) | c_lessequals(c_uminus(A,tc_nat),c_1,tc_nat).  [resolve(643,d,611,a)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(643,d,612,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Power_Orecpower(A).  [resolve(643,d,615,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(643,d,616,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(643,d,617,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(643,d,618,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(643,d,619,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(643,d,620,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(643,d,621,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(643,d,622,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(643,d,623,b)].
% 6.62/6.85  644 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(607,d,584,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | c_less(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint).  [resolve(644,d,610,a)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_uminus(A,tc_nat),c_1,tc_nat) | c_less(c_uminus(c_1,tc_nat),A,tc_nat).  [resolve(644,d,611,a)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Numeral_Onumber__ring(A).  [resolve(644,d,612,b)].
% 6.62/6.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Power_Orecpower(A).  [resolve(644,d,615,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(644,d,616,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(644,d,617,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(644,d,618,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(644,d,619,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(644,d,620,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(644,d,621,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(644,d,622,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(644,d,623,b)].
% 6.69/6.93  645 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_OrderedGroup_Ocomm__monoid__mult(A).  [resolve(608,d,584,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(645,d,610,a)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_uminus(c_1,tc_nat),A,tc_nat) | c_less(c_uminus(A,tc_nat),c_1,tc_nat).  [resolve(645,d,611,a)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(645,d,612,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Power_Orecpower(A).  [resolve(645,d,615,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(645,d,616,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(645,d,617,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(645,d,618,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(645,d,619,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(645,d,620,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(645,d,621,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(645,d,622,b)].
% 6.69/6.93  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(645,d,623,b)].
% 6.69/6.93  646 -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Osemiring__1_1) # label(axiom).  [assumption].
% 6.85/7.06  647 class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_25) # label(axiom).  [assumption].
% 6.85/7.06  648 class_Ring__and__Field_Osemiring__1(tc_nat) # label(clsarity_nat_25) # label(axiom).  [assumption].
% 6.85/7.06  649 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Numeral_Onumber__ring_24) # label(axiom).  [assumption].
% 6.85/7.06  650 -class_Power_Orecpower(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Power_Orecpower_17) # label(axiom).  [assumption].
% 6.85/7.06  651 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_22) # label(axiom).  [assumption].
% 6.85/7.06  652 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_16) # label(axiom).  [assumption].
% 6.85/7.06  653 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_5) # label(axiom).  [assumption].
% 6.85/7.06  654 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Ofield_10) # label(axiom).  [assumption].
% 6.85/7.06  655 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Oidom_10) # label(axiom).  [assumption].
% 6.85/7.06  656 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Oordered__field_13) # label(axiom).  [assumption].
% 6.85/7.06  657 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Oordered__idom_10) # label(axiom).  [assumption].
% 6.85/7.06  658 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Oordered__semidom_4) # label(axiom).  [assumption].
% 6.85/7.06  659 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Oring__1_15) # label(axiom).  [assumption].
% 6.85/7.06  660 -class_Ring__and__Field_Osemiring__1(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Osemiring__1_5) # label(axiom).  [assumption].
% 6.85/7.06  661 -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Osemiring__1_6) # label(axiom).  [assumption].
% 6.85/7.06  662 -class_Ring__and__Field_Osemiring__1(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__1_8) # label(axiom).  [assumption].
% 6.85/7.06  663 -class_Ring__and__Field_Osemiring__1(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__1_9) # label(axiom).  [assumption].
% 6.85/7.06  664 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_0) # label(axiom).  [assumption].
% 6.85/7.06  665 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(43,a,60,b)].
% 6.85/7.06  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(665,d,659,b)].
% 6.85/7.06  666 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(63,a,60,b)].
% 6.85/7.06  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(666,d,659,b)].
% 6.85/7.06  667 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(64,a,60,b)].
% 6.85/7.06  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(667,d,659,b)].
% 6.85/7.06  668 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(65,a,60,b)].
% 6.99/7.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(668,d,659,b)].
% 6.99/7.18  669 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(66,a,60,b)].
% 6.99/7.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(669,d,659,b)].
% 6.99/7.18  670 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(67,a,60,b)].
% 6.99/7.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(670,d,659,b)].
% 6.99/7.18  671 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(68,a,60,b)].
% 6.99/7.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(671,d,659,b)].
% 6.99/7.18  672 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(69,a,60,b)].
% 6.99/7.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(672,d,659,b)].
% 6.99/7.18  673 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(70,a,60,b)].
% 6.99/7.18  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(673,d,659,b)].
% 6.99/7.18  674 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(108,b,106,b)].
% 6.99/7.18  675 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(109,b,106,b)].
% 6.99/7.18  676 -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Ozero(A).  [resolve(181,b,142,a)].
% 6.99/7.18  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(676,a,664,b)].
% 6.99/7.18  677 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Osemiring__1(B).  [resolve(183,a,181,b)].
% 6.99/7.18  678 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Osemiring__1(B).  [resolve(184,a,181,b)].
% 6.99/7.18  679 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(223,a,219,b)].
% 6.99/7.18  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(679,b,652,b)].
% 6.99/7.18  680 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Osemiring__1(A).  [resolve(224,a,219,b)].
% 6.99/7.18  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(680,b,652,b)].
% 6.99/7.18  681 c_times(c_1,A,B) = A | -class_Ring__and__Field_Osemiring__1(B).  [resolve(598,a,596,b)].
% 6.99/7.18  Derived: c_times(c_1,A,B) = A | -class_Power_Orecpower(B).  [resolve(681,b,650,b)].
% 6.99/7.18  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(681,b,651,b)].
% 6.99/7.18  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(681,b,652,b)].
% 6.99/7.18  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(681,b,653,b)].
% 6.99/7.18  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(681,b,654,b)].
% 7.09/7.28  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(681,b,655,b)].
% 7.09/7.28  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(681,b,656,b)].
% 7.09/7.28  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(681,b,657,b)].
% 7.09/7.28  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(681,b,658,b)].
% 7.09/7.28  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(681,b,659,b)].
% 7.09/7.28  682 c_times(A,c_1,B) = A | -class_Ring__and__Field_Osemiring__1(B).  [resolve(599,a,596,b)].
% 7.09/7.28  Derived: c_times(A,c_1,B) = A | -class_Power_Orecpower(B).  [resolve(682,b,650,b)].
% 7.09/7.28  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(682,b,651,b)].
% 7.09/7.28  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(682,b,652,b)].
% 7.09/7.28  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(682,b,653,b)].
% 7.09/7.28  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(682,b,654,b)].
% 7.09/7.28  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(682,b,655,b)].
% 7.09/7.28  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(682,b,656,b)].
% 7.09/7.28  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(682,b,657,b)].
% 7.09/7.28  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(682,b,658,b)].
% 7.09/7.28  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(682,b,659,b)].
% 7.09/7.28  683 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_1) # label(axiom).  [assumption].
% 7.09/7.28  684 class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_26) # label(axiom).  [assumption].
% 7.09/7.28  685 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) # label(clsarity_nat_26) # label(axiom).  [assumption].
% 7.09/7.28  686 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Numeral_Onumber__ring_25) # label(axiom).  [assumption].
% 7.09/7.28  687 -class_Power_Orecpower(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Power_Orecpower_18) # label(axiom).  [assumption].
% 7.09/7.28  688 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_20) # label(axiom).  [assumption].
% 7.09/7.28  689 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_11) # label(axiom).  [assumption].
% 7.09/7.28  690 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_12) # label(axiom).  [assumption].
% 7.09/7.28  691 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_5) # label(axiom).  [assumption].
% 7.09/7.28  692 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_8) # label(axiom).  [assumption].
% 7.09/7.28  693 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_9) # label(axiom).  [assumption].
% 7.09/7.28  694 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_0) # label(axiom).  [assumption].
% 7.09/7.28  695 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Ofield_7) # label(axiom).  [assumption].
% 7.09/7.28  696 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Oidom_7) # label(axiom).  [assumption].
% 7.09/7.28  697 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Oordered__field_10) # label(axiom).  [assumption].
% 7.09/7.28  698 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Oordered__idom_7) # label(axiom).  [assumption].
% 7.24/7.42  699 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Oordered__semidom_1) # label(axiom).  [assumption].
% 7.24/7.42  700 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(43,a,52,b)].
% 7.24/7.42  701 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(63,a,52,b)].
% 7.24/7.42  702 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(64,a,52,b)].
% 7.24/7.42  703 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(65,a,52,b)].
% 7.24/7.42  704 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(66,a,52,b)].
% 7.24/7.42  705 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(67,a,52,b)].
% 7.24/7.42  706 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(68,a,52,b)].
% 7.24/7.42  707 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(69,a,52,b)].
% 7.24/7.42  708 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(70,a,52,b)].
% 7.24/7.42  709 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(71,a,81,b)].
% 7.24/7.42  710 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(100,a,81,b)].
% 7.24/7.42  711 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(102,a,81,b)].
% 7.24/7.42  712 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(103,a,81,b)].
% 7.24/7.42  713 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(108,b,81,b)].
% 7.24/7.42  714 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(109,b,81,b)].
% 7.24/7.42  715 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_HOL_Ozero(A).  [resolve(160,b,142,a)].
% 7.24/7.42  716 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(183,a,160,b)].
% 7.24/7.42  717 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(184,a,160,b)].
% 7.24/7.42  718 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(221,c,194,b)].
% 7.24/7.42  719 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(222,c,194,b)].
% 7.24/7.42  720 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(223,a,194,b)].
% 7.24/7.42  721 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(224,a,194,b)].
% 7.24/7.42  722 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(226,b,194,b)].
% 7.24/7.42  723 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(227,b,194,b)].
% 7.29/7.49  724 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(262,b,242,b)].
% 7.29/7.49  725 c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(598,a,588,b)].
% 7.29/7.49  726 c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(599,a,588,b)].
% 7.29/7.49  727 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(633,b,617,b)].
% 7.29/7.49  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(727,b,684,a)].
% 7.29/7.49  Derived: class_OrderedGroup_Osemigroup__mult(tc_nat).  [resolve(727,b,685,a)].
% 7.29/7.49  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A).  [resolve(727,b,686,b)].
% 7.29/7.49  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Power_Orecpower(A).  [resolve(727,b,687,b)].
% 7.29/7.49  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(727,b,688,b)].
% 7.29/7.49  728 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(634,b,617,b)].
% 7.29/7.49  Derived: class_HOL_Otimes(tc_IntDef_Oint).  [resolve(728,b,684,a)].
% 7.29/7.49  Derived: class_HOL_Otimes(tc_nat).  [resolve(728,b,685,a)].
% 7.29/7.49  Derived: class_HOL_Otimes(A) | -class_Numeral_Onumber__ring(A).  [resolve(728,b,686,b)].
% 7.29/7.49  Derived: class_HOL_Otimes(A) | -class_Power_Orecpower(A).  [resolve(728,b,687,b)].
% 7.29/7.49  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(728,b,688,b)].
% 7.29/7.49  729 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(637,d,617,b)].
% 7.29/7.49  Derived: -class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) | c_uminus(A,tc_IntDef_Oint) != c_1 | A = c_uminus(c_1,tc_IntDef_Oint).  [resolve(729,d,684,a)].
% 7.29/7.49  Derived: -class_OrderedGroup_Oab__group__add(tc_nat) | c_uminus(A,tc_nat) != c_1 | A = c_uminus(c_1,tc_nat).  [resolve(729,d,685,a)].
% 7.29/7.49  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(729,d,686,b)].
% 7.29/7.49  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Power_Orecpower(A).  [resolve(729,d,687,b)].
% 7.29/7.49  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(729,d,688,b)].
% 7.29/7.49  730 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(638,d,617,b)].
% 7.29/7.49  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(730,d,684,a)].
% 7.29/7.49  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(c_1,c_uminus(A,tc_nat),tc_nat) | c_lessequals(A,c_uminus(c_1,tc_nat),tc_nat).  [resolve(730,d,685,a)].
% 7.29/7.49  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(730,d,686,b)].
% 7.29/7.49  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Power_Orecpower(A).  [resolve(730,d,687,b)].
% 7.29/7.49  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(730,d,688,b)].
% 7.29/7.49  731 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(639,d,617,b)].
% 7.29/7.49  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(731,d,684,a)].
% 7.29/7.49  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(A,c_uminus(c_1,tc_nat),tc_nat) | c_lessequals(c_1,c_uminus(A,tc_nat),tc_nat).  [resolve(731,d,685,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(731,d,686,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Power_Orecpower(A).  [resolve(731,d,687,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(731,d,688,b)].
% 7.29/7.50  732 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(640,d,617,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(732,d,684,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_1,c_uminus(A,tc_nat),tc_nat) | c_less(A,c_uminus(c_1,tc_nat),tc_nat).  [resolve(732,d,685,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(732,d,686,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Power_Orecpower(A).  [resolve(732,d,687,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(732,d,688,b)].
% 7.29/7.50  733 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(641,d,617,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(733,d,684,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(A,c_uminus(c_1,tc_nat),tc_nat) | c_less(c_1,c_uminus(A,tc_nat),tc_nat).  [resolve(733,d,685,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(733,d,686,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Power_Orecpower(A).  [resolve(733,d,687,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(733,d,688,b)].
% 7.29/7.50  734 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(642,d,617,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | c_lessequals(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint).  [resolve(734,d,684,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(c_uminus(A,tc_nat),c_1,tc_nat) | c_lessequals(c_uminus(c_1,tc_nat),A,tc_nat).  [resolve(734,d,685,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Numeral_Onumber__ring(A).  [resolve(734,d,686,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Power_Orecpower(A).  [resolve(734,d,687,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(734,d,688,b)].
% 7.29/7.50  735 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(643,d,617,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(735,d,684,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_lessequals(c_uminus(c_1,tc_nat),A,tc_nat) | c_lessequals(c_uminus(A,tc_nat),c_1,tc_nat).  [resolve(735,d,685,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(735,d,686,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Power_Orecpower(A).  [resolve(735,d,687,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(735,d,688,b)].
% 7.29/7.50  736 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(644,d,617,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | c_less(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint).  [resolve(736,d,684,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_uminus(A,tc_nat),c_1,tc_nat) | c_less(c_uminus(c_1,tc_nat),A,tc_nat).  [resolve(736,d,685,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Numeral_Onumber__ring(A).  [resolve(736,d,686,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Power_Orecpower(A).  [resolve(736,d,687,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(736,d,688,b)].
% 7.29/7.50  737 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(645,d,617,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(737,d,684,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_uminus(c_1,tc_nat),A,tc_nat) | c_less(c_uminus(A,tc_nat),c_1,tc_nat).  [resolve(737,d,685,a)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(737,d,686,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Power_Orecpower(A).  [resolve(737,d,687,b)].
% 7.29/7.50  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(737,d,688,b)].
% 7.29/7.50  738 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(679,b,652,b)].
% 7.29/7.50  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(738,b,684,a)].
% 7.29/7.50  Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat).  [resolve(738,b,685,a)].
% 7.29/7.50  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(738,b,686,b)].
% 7.29/7.50  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A).  [resolve(738,b,687,b)].
% 7.29/7.50  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(738,b,688,b)].
% 7.29/7.50  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(738,b,694,b)].
% 7.29/7.50  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(738,b,695,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(738,b,696,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(738,b,697,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(738,b,698,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(738,b,699,b)].
% 7.37/7.58  739 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A).  [resolve(680,b,652,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(739,b,684,a)].
% 7.37/7.58  Derived: class_OrderedGroup_Osemigroup__add(tc_nat).  [resolve(739,b,685,a)].
% 7.37/7.58  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(739,b,686,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A).  [resolve(739,b,687,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(739,b,688,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(739,b,694,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(739,b,695,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(739,b,696,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(739,b,697,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(739,b,698,b)].
% 7.37/7.58  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(739,b,699,b)].
% 7.37/7.58  740 c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(681,b,652,b)].
% 7.37/7.58  Derived: c_times(c_1,A,tc_IntDef_Oint) = A.  [resolve(740,b,684,a)].
% 7.37/7.58  Derived: c_times(c_1,A,tc_nat) = A.  [resolve(740,b,685,a)].
% 7.37/7.58  Derived: c_times(c_1,A,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(740,b,686,b)].
% 7.37/7.58  Derived: c_times(c_1,A,B) = A | -class_Power_Orecpower(B).  [resolve(740,b,687,b)].
% 7.37/7.58  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(740,b,688,b)].
% 7.37/7.58  741 c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__semiring__1(B).  [resolve(682,b,652,b)].
% 7.37/7.58  Derived: c_times(A,c_1,tc_IntDef_Oint) = A.  [resolve(741,b,684,a)].
% 7.37/7.58  Derived: c_times(A,c_1,tc_nat) = A.  [resolve(741,b,685,a)].
% 7.37/7.58  Derived: c_times(A,c_1,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(741,b,686,b)].
% 7.37/7.58  Derived: c_times(A,c_1,B) = A | -class_Power_Orecpower(B).  [resolve(741,b,687,b)].
% 7.37/7.58  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(741,b,688,b)].
% 7.37/7.58  742 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_11) # label(axiom).  [assumption].
% 7.37/7.58  743 class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_27) # label(axiom).  [assumption].
% 7.37/7.58  744 class_Ring__and__Field_Osemiring__1__cancel(tc_nat) # label(clsarity_nat_30) # label(axiom).  [assumption].
% 7.37/7.58  745 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Numeral_Onumber__ring_26) # label(axiom).  [assumption].
% 7.37/7.58  746 -class_Power_Orecpower(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Power_Orecpower_22) # label(axiom).  [assumption].
% 7.37/7.58  747 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_27) # label(axiom).  [assumption].
% 7.37/7.58  748 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_20) # label(axiom).  [assumption].
% 7.37/7.58  749 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Ofield_9) # label(axiom).  [assumption].
% 7.54/7.73  750 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oidom_9) # label(axiom).  [assumption].
% 7.54/7.73  751 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oordered__field_12) # label(axiom).  [assumption].
% 7.54/7.73  752 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oordered__idom_9) # label(axiom).  [assumption].
% 7.54/7.73  753 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oordered__semidom_3) # label(axiom).  [assumption].
% 7.54/7.73  754 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oring__1_19) # label(axiom).  [assumption].
% 7.54/7.73  755 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_12) # label(axiom).  [assumption].
% 7.54/7.73  756 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_5) # label(axiom).  [assumption].
% 7.54/7.73  757 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_6) # label(axiom).  [assumption].
% 7.54/7.73  758 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_7) # label(axiom).  [assumption].
% 7.54/7.73  759 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(43,a,61,b)].
% 7.54/7.73  760 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(63,a,61,b)].
% 7.54/7.73  761 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(64,a,61,b)].
% 7.54/7.73  762 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(65,a,61,b)].
% 7.54/7.73  763 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(66,a,61,b)].
% 7.54/7.73  764 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(67,a,61,b)].
% 7.54/7.73  765 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(68,a,61,b)].
% 7.54/7.73  766 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(69,a,61,b)].
% 7.54/7.73  767 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(70,a,61,b)].
% 7.54/7.73  768 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Osemigroup__mult(A).  [resolve(107,b,102,a)].
% 7.54/7.73  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(768,a,754,b)].
% 7.54/7.73  769 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Otimes(A).  [resolve(107,b,103,a)].
% 7.54/7.73  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(769,a,754,b)].
% 7.54/7.73  770 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(108,b,107,b)].
% 7.54/7.73  771 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(109,b,107,b)].
% 7.72/7.90  772 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Osemiring__1__cancel(B).  [resolve(183,a,182,b)].
% 7.72/7.90  773 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Osemiring__1__cancel(B).  [resolve(184,a,182,b)].
% 7.72/7.90  774 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(223,a,220,b)].
% 7.72/7.90  775 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(224,a,220,b)].
% 7.72/7.90  776 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Osemiring__1__cancel(C).  [resolve(307,a,306,b)].
% 7.72/7.90  777 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Osemiring__1__cancel(C).  [resolve(308,a,306,b)].
% 7.72/7.90  778 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(346,b,345,b)].
% 7.72/7.90  779 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Osemiring__1__cancel(B).  [resolve(380,a,379,b)].
% 7.72/7.90  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(779,b,748,b)].
% 7.72/7.90  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(779,b,753,b)].
% 7.72/7.90  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oring__1(B).  [resolve(779,b,754,b)].
% 7.72/7.90  780 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Osemiring__1__cancel(B).  [resolve(381,a,379,b)].
% 7.72/7.90  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(780,b,748,b)].
% 7.72/7.90  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(780,b,753,b)].
% 7.72/7.90  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oring__1(B).  [resolve(780,b,754,b)].
% 7.72/7.90  781 c_times(c_1,A,B) = A | -class_Ring__and__Field_Osemiring__1__cancel(B).  [resolve(598,a,597,b)].
% 7.72/7.90  782 c_times(A,c_1,B) = A | -class_Ring__and__Field_Osemiring__1__cancel(B).  [resolve(599,a,597,b)].
% 7.72/7.90  783 class_HOL_Ozero(A) | -class_Ring__and__Field_Osemiring__1__cancel(A).  [resolve(676,a,664,b)].
% 7.72/7.90  Derived: class_HOL_Ozero(tc_IntDef_Oint).  [resolve(783,b,743,a)].
% 7.72/7.90  Derived: class_HOL_Ozero(tc_nat).  [resolve(783,b,744,a)].
% 7.72/7.90  Derived: class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A).  [resolve(783,b,745,b)].
% 7.72/7.90  Derived: class_HOL_Ozero(A) | -class_Power_Orecpower(A).  [resolve(783,b,746,b)].
% 7.72/7.90  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(783,b,747,b)].
% 7.72/7.90  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(783,b,748,b)].
% 7.72/7.90  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A).  [resolve(783,b,749,b)].
% 7.72/7.90  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A).  [resolve(783,b,750,b)].
% 7.72/7.90  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(783,b,751,b)].
% 7.72/7.90  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(783,b,752,b)].
% 7.72/7.90  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(783,b,753,b)].
% 7.72/7.90  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(783,b,754,b)].
% 7.72/7.90  784 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Oring__1_1) # label(axiom).  [assumption].
% 7.72/7.90  785 class_Ring__and__Field_Oring__1(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_28) # label(axiom).  [assumption].
% 7.72/7.90  786 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Oring__1(A) # label(clsrel_Numeral_Onumber__ring_27) # label(axiom).  [assumption].
% 7.72/7.90  787 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Oring__1(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_26) # label(axiom).  [assumption].
% 7.72/7.90  788 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Oring__1(A) # label(clsrel_Ring__and__Field_Ofield_2) # label(axiom).  [assumption].
% 7.72/7.90  789 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Oring__1(A) # label(clsrel_Ring__and__Field_Oidom_2) # label(axiom).  [assumption].
% 7.72/7.90  790 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oring__1(A) # label(clsrel_Ring__and__Field_Oordered__field_5) # label(axiom).  [assumption].
% 7.84/8.05  791 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oring__1(A) # label(clsrel_Ring__and__Field_Oordered__idom_2) # label(axiom).  [assumption].
% 7.84/8.05  792 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oring__1_11) # label(axiom).  [assumption].
% 7.84/8.05  793 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oring__1_12) # label(axiom).  [assumption].
% 7.84/8.05  794 -class_Ring__and__Field_Oring__1(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oring__1_14) # label(axiom).  [assumption].
% 7.84/8.05  795 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oring__1_8) # label(axiom).  [assumption].
% 7.84/8.05  796 -class_Ring__and__Field_Oring__1(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Oring__1_9) # label(axiom).  [assumption].
% 7.84/8.05  797 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(43,a,59,b)].
% 7.84/8.05  798 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(63,a,59,b)].
% 7.84/8.05  799 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(64,a,59,b)].
% 7.84/8.05  800 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(65,a,59,b)].
% 7.84/8.05  801 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(66,a,59,b)].
% 7.84/8.05  802 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(67,a,59,b)].
% 7.84/8.05  803 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(68,a,59,b)].
% 7.84/8.05  804 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(69,a,59,b)].
% 7.84/8.05  805 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(70,a,59,b)].
% 7.84/8.05  806 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(71,a,99,b)].
% 7.84/8.05  807 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(100,a,99,b)].
% 7.84/8.05  808 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(102,a,99,b)].
% 7.84/8.05  809 class_HOL_Otimes(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(103,a,99,b)].
% 7.84/8.05  810 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(108,b,99,b)].
% 7.84/8.05  811 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(109,b,99,b)].
% 7.84/8.05  812 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(183,a,178,b)].
% 7.84/8.05  813 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(184,a,178,b)].
% 7.84/8.05  814 class_HOL_Ozero(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(217,a,212,b)].
% 7.84/8.05  815 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(221,c,212,b)].
% 7.84/8.05  816 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(222,c,212,b)].
% 7.88/8.08  817 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(223,a,212,b)].
% 7.88/8.08  818 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(224,a,212,b)].
% 7.88/8.08  819 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(226,b,212,b)].
% 7.88/8.08  820 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(227,b,212,b)].
% 7.88/8.08  821 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oring__1(C).  [resolve(307,a,304,b)].
% 7.88/8.08  822 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oring__1(C).  [resolve(308,a,304,b)].
% 7.88/8.08  823 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(346,b,343,b)].
% 7.88/8.08  824 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oring__1(B).  [resolve(380,a,373,b)].
% 7.88/8.08  825 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oring__1(B).  [resolve(381,a,373,b)].
% 7.88/8.08  826 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(386,b,373,b)].
% 7.88/8.08  827 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oring__1(C).  [resolve(389,c,373,b)].
% 7.88/8.08  828 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oring__1(C).  [resolve(390,c,373,b)].
% 7.88/8.08  829 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(391,b,373,b)].
% 7.88/8.08  830 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(413,b,412,b)].
% 7.88/8.08  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(830,c,787,b)].
% 7.88/8.08  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(830,c,788,b)].
% 7.88/8.08  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(830,c,789,b)].
% 7.88/8.08  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(830,c,790,b)].
% 7.88/8.08  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(830,c,791,b)].
% 7.88/8.08  831 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(414,b,412,b)].
% 7.88/8.08  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(831,c,787,b)].
% 7.88/8.08  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(831,c,788,b)].
% 7.88/8.08  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(831,c,789,b)].
% 7.88/8.08  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(831,c,790,b)].
% 7.88/8.13  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(831,c,791,b)].
% 7.88/8.13  832 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oring__1(B).  [resolve(415,a,412,b)].
% 7.88/8.13  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(832,b,787,b)].
% 7.88/8.13  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Ofield(B).  [resolve(832,b,788,b)].
% 7.88/8.13  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oidom(B).  [resolve(832,b,789,b)].
% 7.88/8.13  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(832,b,790,b)].
% 7.88/8.13  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(832,b,791,b)].
% 7.88/8.13  833 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oring__1(B).  [resolve(416,a,412,b)].
% 7.88/8.13  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(833,b,787,b)].
% 7.88/8.13  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Ofield(B).  [resolve(833,b,788,b)].
% 7.88/8.13  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oidom(B).  [resolve(833,b,789,b)].
% 7.88/8.13  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(833,b,790,b)].
% 7.88/8.13  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(833,b,791,b)].
% 7.88/8.13  834 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oring__1(C).  [resolve(417,a,412,b)].
% 7.88/8.13  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(834,b,787,b)].
% 7.88/8.13  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(834,b,788,b)].
% 7.88/8.13  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(834,b,789,b)].
% 7.88/8.13  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(834,b,790,b)].
% 7.88/8.13  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(834,b,791,b)].
% 7.88/8.13  835 c_times(c_1,A,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(598,a,595,b)].
% 7.88/8.13  836 c_times(A,c_1,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(599,a,595,b)].
% 7.88/8.13  837 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(665,d,659,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(837,d,788,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(837,d,789,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(837,d,790,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(837,d,791,b)].
% 7.88/8.13  838 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(666,d,659,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(838,d,788,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(838,d,789,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(838,d,790,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(838,d,791,b)].
% 7.88/8.13  839 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(667,d,659,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(839,d,788,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(839,d,789,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(839,d,790,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(839,d,791,b)].
% 7.88/8.13  840 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(668,d,659,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(840,d,788,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(840,d,789,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(840,d,790,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(840,d,791,b)].
% 7.88/8.13  841 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oring__1(A).  [resolve(669,d,659,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(841,d,788,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(841,d,789,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(841,d,790,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(841,d,791,b)].
% 7.88/8.13  842 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(670,d,659,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(842,d,788,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(842,d,789,b)].
% 7.88/8.13  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(842,d,790,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(842,d,791,b)].
% 7.96/8.14  843 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(671,d,659,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(843,d,788,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(843,d,789,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(843,d,790,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(843,d,791,b)].
% 7.96/8.14  844 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(672,d,659,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(844,d,788,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(844,d,789,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(844,d,790,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(844,d,791,b)].
% 7.96/8.14  845 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oring__1(A).  [resolve(673,d,659,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(845,d,788,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(845,d,789,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(845,d,790,b)].
% 7.96/8.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(845,d,791,b)].
% 7.96/8.14  846 c_times(c_1,A,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(681,b,659,b)].
% 7.96/8.14  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(846,b,788,b)].
% 7.96/8.14  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(846,b,789,b)].
% 7.96/8.14  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(846,b,790,b)].
% 7.96/8.14  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(846,b,791,b)].
% 7.96/8.14  847 c_times(A,c_1,B) = A | -class_Ring__and__Field_Oring__1(B).  [resolve(682,b,659,b)].
% 7.96/8.14  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(847,b,788,b)].
% 7.96/8.14  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(847,b,789,b)].
% 7.96/8.14  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(847,b,790,b)].
% 7.96/8.14  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(847,b,791,b)].
% 7.96/8.14  848 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(768,a,754,b)].
% 8.00/8.22  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(848,b,785,a)].
% 8.00/8.22  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A).  [resolve(848,b,786,b)].
% 8.00/8.22  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(848,b,787,b)].
% 8.00/8.22  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ofield(A).  [resolve(848,b,788,b)].
% 8.00/8.22  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oidom(A).  [resolve(848,b,789,b)].
% 8.00/8.22  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(848,b,790,b)].
% 8.00/8.22  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(848,b,791,b)].
% 8.00/8.22  849 class_HOL_Otimes(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(769,a,754,b)].
% 8.00/8.22  Derived: class_HOL_Otimes(tc_IntDef_Oint).  [resolve(849,b,785,a)].
% 8.00/8.22  Derived: class_HOL_Otimes(A) | -class_Numeral_Onumber__ring(A).  [resolve(849,b,786,b)].
% 8.00/8.22  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(849,b,787,b)].
% 8.00/8.22  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ofield(A).  [resolve(849,b,788,b)].
% 8.00/8.22  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oidom(A).  [resolve(849,b,789,b)].
% 8.00/8.22  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(849,b,790,b)].
% 8.00/8.22  Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(849,b,791,b)].
% 8.00/8.22  850 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oring__1(B).  [resolve(779,b,754,b)].
% 8.00/8.22  Derived: c_times(c_0,A,tc_IntDef_Oint) = c_0.  [resolve(850,b,785,a)].
% 8.00/8.22  Derived: c_times(c_0,A,B) = c_0 | -class_Numeral_Onumber__ring(B).  [resolve(850,b,786,b)].
% 8.00/8.22  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(850,b,787,b)].
% 8.00/8.22  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(850,b,788,b)].
% 8.00/8.22  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oidom(B).  [resolve(850,b,789,b)].
% 8.00/8.22  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(850,b,790,b)].
% 8.00/8.22  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(850,b,791,b)].
% 8.00/8.22  851 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oring__1(B).  [resolve(780,b,754,b)].
% 8.00/8.22  Derived: c_times(A,c_0,tc_IntDef_Oint) = c_0.  [resolve(851,b,785,a)].
% 8.00/8.22  Derived: c_times(A,c_0,B) = c_0 | -class_Numeral_Onumber__ring(B).  [resolve(851,b,786,b)].
% 8.00/8.22  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(851,b,787,b)].
% 8.00/8.22  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(851,b,788,b)].
% 8.00/8.22  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oidom(B).  [resolve(851,b,789,b)].
% 8.00/8.22  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(851,b,790,b)].
% 8.00/8.22  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(851,b,791,b)].
% 8.00/8.22  852 class_HOL_Ozero(A) | -class_Ring__and__Field_Oring__1(A).  [resolve(783,b,754,b)].
% 8.00/8.22  Derived: class_HOL_Ozero(tc_IntDef_Oint).  [resolve(852,b,785,a)].
% 8.00/8.22  Derived: class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A).  [resolve(852,b,786,b)].
% 8.00/8.22  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(852,b,787,b)].
% 8.00/8.22  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A).  [resolve(852,b,788,b)].
% 8.00/8.22  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A).  [resolve(852,b,789,b)].
% 8.00/8.22  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(852,b,790,b)].
% 8.00/8.22  Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(852,b,791,b)].
% 8.00/8.22  853 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_10) # label(axiom).  [assumption].
% 8.00/8.22  854 class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_29) # label(axiom).  [assumption].
% 8.00/8.22  855 class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) # label(clsarity_nat_32) # label(axiom).  [assumption].
% 8.06/8.25  856 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Numeral_Onumber__ring_28) # label(axiom).  [assumption].
% 8.06/8.25  857 -class_Power_Orecpower(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Power_Orecpower_24) # label(axiom).  [assumption].
% 8.06/8.25  858 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_28) # label(axiom).  [assumption].
% 8.06/8.25  859 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_11) # label(axiom).  [assumption].
% 8.06/8.25  860 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_12) # label(axiom).  [assumption].
% 8.06/8.25  861 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_16) # label(axiom).  [assumption].
% 8.06/8.25  862 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_17) # label(axiom).  [assumption].
% 8.06/8.25  863 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_4) # label(axiom).  [assumption].
% 8.06/8.25  864 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Ring__and__Field_Ofield_6) # label(axiom).  [assumption].
% 8.06/8.25  865 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oidom_6) # label(axiom).  [assumption].
% 8.06/8.25  866 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oordered__field_9) # label(axiom).  [assumption].
% 8.06/8.25  867 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oordered__idom_6) # label(axiom).  [assumption].
% 8.06/8.25  868 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oordered__semidom_0) # label(axiom).  [assumption].
% 8.06/8.25  869 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | c_in(c_0,c_IntDef_ONats,A) # label(cls_IntDef_ONats__0_0) # label(axiom).  [assumption].
% 8.06/8.25  Derived: c_in(c_0,c_IntDef_ONats,tc_IntDef_Oint).  [resolve(869,a,854,a)].
% 8.06/8.25  Derived: c_in(c_0,c_IntDef_ONats,tc_nat).  [resolve(869,a,855,a)].
% 8.06/8.25  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Numeral_Onumber__ring(A).  [resolve(869,a,856,b)].
% 8.06/8.25  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Power_Orecpower(A).  [resolve(869,a,857,b)].
% 8.06/8.25  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(869,a,858,b)].
% 8.06/8.25  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Ofield(A).  [resolve(869,a,864,b)].
% 8.06/8.25  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Oidom(A).  [resolve(869,a,865,b)].
% 8.06/8.25  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(869,a,866,b)].
% 8.06/8.25  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(869,a,867,b)].
% 8.06/8.25  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(869,a,868,b)].
% 8.06/8.25  870 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | c_in(c_1,c_IntDef_ONats,A) # label(cls_IntDef_ONats__1_0) # label(axiom).  [assumption].
% 8.06/8.25  Derived: c_in(c_1,c_IntDef_ONats,tc_IntDef_Oint).  [resolve(870,a,854,a)].
% 8.06/8.25  Derived: c_in(c_1,c_IntDef_ONats,tc_nat).  [resolve(870,a,855,a)].
% 8.06/8.25  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Numeral_Onumber__ring(A).  [resolve(870,a,856,b)].
% 8.06/8.25  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Power_Orecpower(A).  [resolve(870,a,857,b)].
% 8.06/8.25  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(870,a,858,b)].
% 8.06/8.25  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Ofield(A).  [resolve(870,a,864,b)].
% 8.08/8.26  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Oidom(A).  [resolve(870,a,865,b)].
% 8.08/8.26  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(870,a,866,b)].
% 8.08/8.26  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(870,a,867,b)].
% 8.08/8.26  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(870,a,868,b)].
% 8.08/8.26  871 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | -c_in(B,c_IntDef_ONats,A) | -c_in(C,c_IntDef_ONats,A) | c_in(c_plus(C,B,A),c_IntDef_ONats,A) # label(cls_IntDef_ONats__add_0) # label(axiom).  [assumption].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,tc_IntDef_Oint) | -c_in(B,c_IntDef_ONats,tc_IntDef_Oint) | c_in(c_plus(B,A,tc_IntDef_Oint),c_IntDef_ONats,tc_IntDef_Oint).  [resolve(871,a,854,a)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,tc_nat) | -c_in(B,c_IntDef_ONats,tc_nat) | c_in(c_plus(B,A,tc_nat),c_IntDef_ONats,tc_nat).  [resolve(871,a,855,a)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Numeral_Onumber__ring(B).  [resolve(871,a,856,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Power_Orecpower(B).  [resolve(871,a,857,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(871,a,858,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ofield(B).  [resolve(871,a,864,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oidom(B).  [resolve(871,a,865,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(871,a,866,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(871,a,867,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(871,a,868,b)].
% 8.08/8.26  872 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | -c_in(B,c_IntDef_ONats,A) | -c_in(C,c_IntDef_ONats,A) | c_in(c_times(C,B,A),c_IntDef_ONats,A) # label(cls_IntDef_ONats__mult_0) # label(axiom).  [assumption].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,tc_IntDef_Oint) | -c_in(B,c_IntDef_ONats,tc_IntDef_Oint) | c_in(c_times(B,A,tc_IntDef_Oint),c_IntDef_ONats,tc_IntDef_Oint).  [resolve(872,a,854,a)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,tc_nat) | -c_in(B,c_IntDef_ONats,tc_nat) | c_in(c_times(B,A,tc_nat),c_IntDef_ONats,tc_nat).  [resolve(872,a,855,a)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Numeral_Onumber__ring(B).  [resolve(872,a,856,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Power_Orecpower(B).  [resolve(872,a,857,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(872,a,858,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ofield(B).  [resolve(872,a,864,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oidom(B).  [resolve(872,a,865,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(872,a,866,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(872,a,867,b)].
% 8.08/8.26  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(872,a,868,b)].
% 8.08/8.28  873 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | c_in(c_NatArith_Oof__nat(B,A),c_IntDef_ONats,A) # label(cls_IntDef_Oof__nat__in__Nats_0) # label(axiom).  [assumption].
% 8.08/8.28  Derived: c_in(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_IntDef_ONats,tc_IntDef_Oint).  [resolve(873,a,854,a)].
% 8.08/8.28  Derived: c_in(c_NatArith_Oof__nat(A,tc_nat),c_IntDef_ONats,tc_nat).  [resolve(873,a,855,a)].
% 8.08/8.28  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Numeral_Onumber__ring(B).  [resolve(873,a,856,b)].
% 8.08/8.28  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Power_Orecpower(B).  [resolve(873,a,857,b)].
% 8.08/8.28  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(873,a,858,b)].
% 8.08/8.28  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ofield(B).  [resolve(873,a,864,b)].
% 8.08/8.28  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oidom(B).  [resolve(873,a,865,b)].
% 8.08/8.28  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(873,a,866,b)].
% 8.08/8.28  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(873,a,867,b)].
% 8.08/8.28  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(873,a,868,b)].
% 8.08/8.28  874 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | c_NatArith_Oof__nat(c_Suc(B),A) = c_plus(c_NatArith_Oof__nat(B,A),c_1,A) # label(cls_NatArith_Oof__nat_Oof__nat__Suc_0) # label(axiom).  [assumption].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_Suc(A),tc_IntDef_Oint) = c_plus(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(874,a,854,a)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_Suc(A),tc_nat) = c_plus(c_NatArith_Oof__nat(A,tc_nat),c_1,tc_nat).  [resolve(874,a,855,a)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Numeral_Onumber__ring(B).  [resolve(874,a,856,b)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Power_Orecpower(B).  [resolve(874,a,857,b)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(874,a,858,b)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Ofield(B).  [resolve(874,a,864,b)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Oidom(B).  [resolve(874,a,865,b)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(874,a,866,b)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(874,a,867,b)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(874,a,868,b)].
% 8.08/8.28  875 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | c_NatArith_Oof__nat(c_1,A) = c_1 # label(cls_NatArith_Oof__nat__1_0) # label(axiom).  [assumption].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_1,tc_IntDef_Oint) = c_1.  [resolve(875,a,854,a)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_1,tc_nat) = c_1.  [resolve(875,a,855,a)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Numeral_Onumber__ring(A).  [resolve(875,a,856,b)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Power_Orecpower(A).  [resolve(875,a,857,b)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(875,a,858,b)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Ofield(A).  [resolve(875,a,864,b)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Oidom(A).  [resolve(875,a,865,b)].
% 8.08/8.28  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__field(A).  [resolve(875,a,866,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(875,a,867,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(875,a,868,b)].
% 8.08/8.29  876 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | c_NatArith_Oof__nat(c_plus(B,C,tc_nat),A) = c_plus(c_NatArith_Oof__nat(B,A),c_NatArith_Oof__nat(C,A),A) # label(cls_NatArith_Oof__nat__add_0) # label(axiom).  [assumption].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),tc_IntDef_Oint) = c_plus(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(876,a,854,a)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),tc_nat) = c_plus(c_NatArith_Oof__nat(A,tc_nat),c_NatArith_Oof__nat(B,tc_nat),tc_nat).  [resolve(876,a,855,a)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Numeral_Onumber__ring(C).  [resolve(876,a,856,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Power_Orecpower(C).  [resolve(876,a,857,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(876,a,858,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(876,a,864,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(876,a,865,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(876,a,866,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(876,a,867,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(876,a,868,b)].
% 8.08/8.29  877 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | c_NatArith_Oof__nat(c_times(B,C,tc_nat),A) = c_times(c_NatArith_Oof__nat(B,A),c_NatArith_Oof__nat(C,A),A) # label(cls_NatArith_Oof__nat__mult_0) # label(axiom).  [assumption].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),tc_IntDef_Oint) = c_times(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(877,a,854,a)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),tc_nat) = c_times(c_NatArith_Oof__nat(A,tc_nat),c_NatArith_Oof__nat(B,tc_nat),tc_nat).  [resolve(877,a,855,a)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Numeral_Onumber__ring(C).  [resolve(877,a,856,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Power_Orecpower(C).  [resolve(877,a,857,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(877,a,858,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(877,a,864,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(877,a,865,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(877,a,866,b)].
% 8.08/8.29  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(877,a,867,b)].
% 8.19/8.40  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(877,a,868,b)].
% 8.19/8.40  878 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | -c_IntDef_Oiszero(c_1,A) # label(cls_Numeral_Obin__rel__simps__10_0) # label(axiom).  [assumption].
% 8.19/8.40  Derived: -c_IntDef_Oiszero(c_1,tc_IntDef_Oint).  [resolve(878,a,854,a)].
% 8.19/8.40  Derived: -c_IntDef_Oiszero(c_1,tc_nat).  [resolve(878,a,855,a)].
% 8.19/8.40  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(878,a,856,b)].
% 8.19/8.40  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Power_Orecpower(A).  [resolve(878,a,857,b)].
% 8.19/8.40  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(878,a,858,b)].
% 8.19/8.40  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(878,a,864,b)].
% 8.19/8.40  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(878,a,865,b)].
% 8.19/8.40  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(878,a,866,b)].
% 8.19/8.40  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(878,a,867,b)].
% 8.19/8.40  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(878,a,868,b)].
% 8.19/8.40  879 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(43,a,53,b)].
% 8.19/8.40  880 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(63,a,53,b)].
% 8.19/8.40  881 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(64,a,53,b)].
% 8.19/8.40  882 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(65,a,53,b)].
% 8.19/8.40  883 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(66,a,53,b)].
% 8.19/8.40  884 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(67,a,53,b)].
% 8.19/8.40  885 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(68,a,53,b)].
% 8.19/8.40  886 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(69,a,53,b)].
% 8.19/8.40  887 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(70,a,53,b)].
% 8.19/8.40  888 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(71,a,82,b)].
% 8.19/8.40  889 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(100,a,82,b)].
% 8.19/8.40  890 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(102,a,82,b)].
% 8.19/8.40  891 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(103,a,82,b)].
% 8.19/8.40  892 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(108,b,82,b)].
% 8.19/8.40  893 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(109,b,82,b)].
% 8.19/8.40  894 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Ozero(A).  [resolve(161,b,142,a)].
% 8.33/8.50  895 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(183,a,161,b)].
% 8.33/8.50  896 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(184,a,161,b)].
% 8.33/8.50  897 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(221,c,195,b)].
% 8.33/8.50  898 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(222,c,195,b)].
% 8.33/8.50  899 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(223,a,195,b)].
% 8.33/8.50  900 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(224,a,195,b)].
% 8.33/8.50  901 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(226,b,195,b)].
% 8.33/8.50  902 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(227,b,195,b)].
% 8.33/8.50  903 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(262,b,243,b)].
% 8.33/8.50  904 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__semiring__1__cancel(C).  [resolve(307,a,289,b)].
% 8.33/8.50  905 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__semiring__1__cancel(C).  [resolve(308,a,289,b)].
% 8.33/8.50  906 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(346,b,328,b)].
% 8.33/8.50  907 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(380,a,358,b)].
% 8.33/8.50  908 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(381,a,358,b)].
% 8.33/8.50  909 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(386,b,358,b)].
% 8.33/8.50  910 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__semiring__1__cancel(C).  [resolve(389,c,358,b)].
% 8.33/8.50  911 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__semiring__1__cancel(C).  [resolve(390,c,358,b)].
% 8.33/8.50  912 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(391,b,358,b)].
% 8.33/8.50  913 c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(598,a,589,b)].
% 8.33/8.50  914 c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(599,a,589,b)].
% 8.33/8.50  915 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(633,b,618,b)].
% 8.33/8.50  916 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(634,b,618,b)].
% 8.33/8.50  917 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(637,d,618,b)].
% 8.33/8.50  918 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(638,d,618,b)].
% 8.33/8.50  919 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(639,d,618,b)].
% 8.33/8.50  920 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(640,d,618,b)].
% 8.33/8.50  921 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(641,d,618,b)].
% 8.33/8.50  922 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(642,d,618,b)].
% 8.33/8.50  923 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(643,d,618,b)].
% 8.69/8.88  924 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(644,d,618,b)].
% 8.69/8.88  925 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(645,d,618,b)].
% 8.69/8.88  926 c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(681,b,653,b)].
% 8.69/8.88  927 c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(682,b,653,b)].
% 8.69/8.88  928 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(738,b,694,b)].
% 8.69/8.88  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(928,b,854,a)].
% 8.69/8.88  Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat).  [resolve(928,b,855,a)].
% 8.69/8.88  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(928,b,856,b)].
% 8.69/8.88  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A).  [resolve(928,b,857,b)].
% 8.69/8.88  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(928,b,858,b)].
% 8.69/8.88  929 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(739,b,694,b)].
% 8.69/8.88  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(929,b,854,a)].
% 8.69/8.88  Derived: class_OrderedGroup_Osemigroup__add(tc_nat).  [resolve(929,b,855,a)].
% 8.69/8.88  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(929,b,856,b)].
% 8.69/8.88  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A).  [resolve(929,b,857,b)].
% 8.69/8.88  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(929,b,858,b)].
% 8.69/8.88  930 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(779,b,748,b)].
% 8.69/8.88  Derived: c_times(c_0,A,tc_nat) = c_0.  [resolve(930,b,855,a)].
% 8.69/8.88  Derived: c_times(c_0,A,B) = c_0 | -class_Power_Orecpower(B).  [resolve(930,b,857,b)].
% 8.69/8.88  931 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__semiring__1__cancel(B).  [resolve(780,b,748,b)].
% 8.69/8.88  Derived: c_times(A,c_0,tc_nat) = c_0.  [resolve(931,b,855,a)].
% 8.69/8.88  Derived: c_times(A,c_0,B) = c_0 | -class_Power_Orecpower(B).  [resolve(931,b,857,b)].
% 8.69/8.88  932 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A).  [resolve(783,b,748,b)].
% 8.69/8.88  Derived: class_HOL_Ozero(tc_nat).  [resolve(932,b,855,a)].
% 8.69/8.88  Derived: class_HOL_Ozero(A) | -class_Power_Orecpower(A).  [resolve(932,b,857,b)].
% 8.69/8.88  933 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_11) # label(axiom).  [assumption].
% 8.69/8.88  934 class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_30) # label(axiom).  [assumption].
% 8.69/8.88  935 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__ring__1(A) # label(clsrel_Numeral_Onumber__ring_29) # label(axiom).  [assumption].
% 8.69/8.88  936 -class_Ring__and__Field_Ocomm__ring__1(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_14) # label(axiom).  [assumption].
% 8.69/8.88  937 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_16) # label(axiom).  [assumption].
% 8.69/8.88  938 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_18) # label(axiom).  [assumption].
% 8.69/8.88  939 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_2) # label(axiom).  [assumption].
% 8.69/8.88  940 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_7) # label(axiom).  [assumption].
% 8.69/8.88  941 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__ring__1(A) # label(clsrel_Ring__and__Field_Ofield_0) # label(axiom).  [assumption].
% 8.74/8.90  942 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__ring__1(A) # label(clsrel_Ring__and__Field_Oidom_0) # label(axiom).  [assumption].
% 8.74/8.90  943 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__ring__1(A) # label(clsrel_Ring__and__Field_Oordered__field_3) # label(axiom).  [assumption].
% 8.74/8.90  944 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__ring__1(A) # label(clsrel_Ring__and__Field_Oordered__idom_0) # label(axiom).  [assumption].
% 8.74/8.90  945 -class_Ring__and__Field_Ocomm__ring__1(A) | c_in(c_0,c_IntDef_OInts,A) # label(cls_IntDef_OInts__0_0) # label(axiom).  [assumption].
% 8.74/8.90  Derived: c_in(c_0,c_IntDef_OInts,tc_IntDef_Oint).  [resolve(945,a,934,a)].
% 8.74/8.90  Derived: c_in(c_0,c_IntDef_OInts,A) | -class_Numeral_Onumber__ring(A).  [resolve(945,a,935,b)].
% 8.74/8.90  Derived: c_in(c_0,c_IntDef_OInts,A) | -class_Ring__and__Field_Ofield(A).  [resolve(945,a,941,b)].
% 8.74/8.90  Derived: c_in(c_0,c_IntDef_OInts,A) | -class_Ring__and__Field_Oidom(A).  [resolve(945,a,942,b)].
% 8.74/8.90  Derived: c_in(c_0,c_IntDef_OInts,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(945,a,943,b)].
% 8.74/8.90  Derived: c_in(c_0,c_IntDef_OInts,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(945,a,944,b)].
% 8.74/8.90  946 -class_Ring__and__Field_Ocomm__ring__1(A) | c_in(c_1,c_IntDef_OInts,A) # label(cls_IntDef_OInts__1_0) # label(axiom).  [assumption].
% 8.74/8.90  Derived: c_in(c_1,c_IntDef_OInts,tc_IntDef_Oint).  [resolve(946,a,934,a)].
% 8.74/8.90  Derived: c_in(c_1,c_IntDef_OInts,A) | -class_Numeral_Onumber__ring(A).  [resolve(946,a,935,b)].
% 8.74/8.90  Derived: c_in(c_1,c_IntDef_OInts,A) | -class_Ring__and__Field_Ofield(A).  [resolve(946,a,941,b)].
% 8.74/8.90  Derived: c_in(c_1,c_IntDef_OInts,A) | -class_Ring__and__Field_Oidom(A).  [resolve(946,a,942,b)].
% 8.74/8.90  Derived: c_in(c_1,c_IntDef_OInts,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(946,a,943,b)].
% 8.74/8.90  Derived: c_in(c_1,c_IntDef_OInts,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(946,a,944,b)].
% 8.74/8.90  947 -class_Ring__and__Field_Ocomm__ring__1(A) | -c_in(B,c_IntDef_OInts,A) | -c_in(C,c_IntDef_OInts,A) | c_in(c_plus(C,B,A),c_IntDef_OInts,A) # label(cls_IntDef_OInts__add_0) # label(axiom).  [assumption].
% 8.74/8.90  Derived: -c_in(A,c_IntDef_OInts,tc_IntDef_Oint) | -c_in(B,c_IntDef_OInts,tc_IntDef_Oint) | c_in(c_plus(B,A,tc_IntDef_Oint),c_IntDef_OInts,tc_IntDef_Oint).  [resolve(947,a,934,a)].
% 8.74/8.90  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_plus(C,A,B),c_IntDef_OInts,B) | -class_Numeral_Onumber__ring(B).  [resolve(947,a,935,b)].
% 8.74/8.90  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_plus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(947,a,941,b)].
% 8.74/8.90  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_plus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oidom(B).  [resolve(947,a,942,b)].
% 8.74/8.90  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_plus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(947,a,943,b)].
% 8.74/8.90  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_plus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(947,a,944,b)].
% 8.74/8.90  948 -class_Ring__and__Field_Ocomm__ring__1(A) | -c_in(B,c_IntDef_OInts,A) | -c_in(C,c_IntDef_OInts,A) | c_in(c_minus(C,B,A),c_IntDef_OInts,A) # label(cls_IntDef_OInts__diff_0) # label(axiom).  [assumption].
% 8.74/8.90  Derived: -c_in(A,c_IntDef_OInts,tc_IntDef_Oint) | -c_in(B,c_IntDef_OInts,tc_IntDef_Oint) | c_in(c_minus(B,A,tc_IntDef_Oint),c_IntDef_OInts,tc_IntDef_Oint).  [resolve(948,a,934,a)].
% 8.74/8.90  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_minus(C,A,B),c_IntDef_OInts,B) | -class_Numeral_Onumber__ring(B).  [resolve(948,a,935,b)].
% 8.74/8.90  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_minus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(948,a,941,b)].
% 8.74/8.90  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_minus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oidom(B).  [resolve(948,a,942,b)].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_minus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(948,a,943,b)].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_minus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(948,a,944,b)].
% 8.74/8.91  949 -class_Ring__and__Field_Ocomm__ring__1(A) | -c_in(B,c_IntDef_OInts,A) | c_in(c_uminus(B,A),c_IntDef_OInts,A) # label(cls_IntDef_OInts__minus_0) # label(axiom).  [assumption].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,tc_IntDef_Oint) | c_in(c_uminus(A,tc_IntDef_Oint),c_IntDef_OInts,tc_IntDef_Oint).  [resolve(949,a,934,a)].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,B) | c_in(c_uminus(A,B),c_IntDef_OInts,B) | -class_Numeral_Onumber__ring(B).  [resolve(949,a,935,b)].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,B) | c_in(c_uminus(A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(949,a,941,b)].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,B) | c_in(c_uminus(A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oidom(B).  [resolve(949,a,942,b)].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,B) | c_in(c_uminus(A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(949,a,943,b)].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,B) | c_in(c_uminus(A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(949,a,944,b)].
% 8.74/8.91  950 -class_Ring__and__Field_Ocomm__ring__1(A) | -c_in(B,c_IntDef_OInts,A) | -c_in(C,c_IntDef_OInts,A) | c_in(c_times(C,B,A),c_IntDef_OInts,A) # label(cls_IntDef_OInts__mult_0) # label(axiom).  [assumption].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,tc_IntDef_Oint) | -c_in(B,c_IntDef_OInts,tc_IntDef_Oint) | c_in(c_times(B,A,tc_IntDef_Oint),c_IntDef_OInts,tc_IntDef_Oint).  [resolve(950,a,934,a)].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_times(C,A,B),c_IntDef_OInts,B) | -class_Numeral_Onumber__ring(B).  [resolve(950,a,935,b)].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_times(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(950,a,941,b)].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_times(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oidom(B).  [resolve(950,a,942,b)].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_times(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(950,a,943,b)].
% 8.74/8.91  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_times(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(950,a,944,b)].
% 8.74/8.91  951 -class_Ring__and__Field_Ocomm__ring__1(A) | c_IntDef_Oof__int(c_1,A) = c_1 # label(cls_IntDef_Oof__int__1_0) # label(axiom).  [assumption].
% 8.74/8.91  Derived: c_IntDef_Oof__int(c_1,tc_IntDef_Oint) = c_1.  [resolve(951,a,934,a)].
% 8.74/8.91  Derived: c_IntDef_Oof__int(c_1,A) = c_1 | -class_Numeral_Onumber__ring(A).  [resolve(951,a,935,b)].
% 8.74/8.91  Derived: c_IntDef_Oof__int(c_1,A) = c_1 | -class_Ring__and__Field_Ofield(A).  [resolve(951,a,941,b)].
% 8.74/8.91  Derived: c_IntDef_Oof__int(c_1,A) = c_1 | -class_Ring__and__Field_Oidom(A).  [resolve(951,a,942,b)].
% 8.74/8.91  Derived: c_IntDef_Oof__int(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__field(A).  [resolve(951,a,943,b)].
% 8.74/8.91  Derived: c_IntDef_Oof__int(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(951,a,944,b)].
% 8.74/8.91  952 -class_Ring__and__Field_Ocomm__ring__1(A) | c_IntDef_Oof__int(c_plus(B,C,tc_IntDef_Oint),A) = c_plus(c_IntDef_Oof__int(B,A),c_IntDef_Oof__int(C,A),A) # label(cls_IntDef_Oof__int__add_0) # label(axiom).  [assumption].
% 8.74/8.91  Derived: c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_IntDef_Oof__int(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(952,a,934,a)].
% 8.74/8.91  Derived: c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),C) = c_plus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Numeral_Onumber__ring(C).  [resolve(952,a,935,b)].
% 8.74/8.91  Derived: c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),C) = c_plus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(952,a,941,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),C) = c_plus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(952,a,942,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),C) = c_plus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(952,a,943,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),C) = c_plus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(952,a,944,b)].
% 8.74/8.92  953 -class_Ring__and__Field_Ocomm__ring__1(A) | c_IntDef_Oof__int(c_minus(B,C,tc_IntDef_Oint),A) = c_minus(c_IntDef_Oof__int(B,A),c_IntDef_Oof__int(C,A),A) # label(cls_IntDef_Oof__int__diff_0) # label(axiom).  [assumption].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_IntDef_Oof__int(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(953,a,934,a)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),C) = c_minus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Numeral_Onumber__ring(C).  [resolve(953,a,935,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),C) = c_minus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(953,a,941,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),C) = c_minus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(953,a,942,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),C) = c_minus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(953,a,943,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),C) = c_minus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(953,a,944,b)].
% 8.74/8.92  954 -class_Ring__and__Field_Ocomm__ring__1(A) | c_IntDef_Oof__int(c_IntDef_Oint(B),A) = c_NatArith_Oof__nat(B,A) # label(cls_IntDef_Oof__int__int__eq_0) # label(axiom).  [assumption].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_IntDef_Oint(A),tc_IntDef_Oint) = c_NatArith_Oof__nat(A,tc_IntDef_Oint).  [resolve(954,a,934,a)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_IntDef_Oint(A),B) = c_NatArith_Oof__nat(A,B) | -class_Numeral_Onumber__ring(B).  [resolve(954,a,935,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_IntDef_Oint(A),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Ofield(B).  [resolve(954,a,941,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_IntDef_Oint(A),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Oidom(B).  [resolve(954,a,942,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_IntDef_Oint(A),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(954,a,943,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_IntDef_Oint(A),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(954,a,944,b)].
% 8.74/8.92  955 -class_Ring__and__Field_Ocomm__ring__1(A) | c_IntDef_Oof__int(c_uminus(B,tc_IntDef_Oint),A) = c_uminus(c_IntDef_Oof__int(B,A),A) # label(cls_IntDef_Oof__int__minus_0) # label(axiom).  [assumption].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_IntDef_Oof__int(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(955,a,934,a)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),B) = c_uminus(c_IntDef_Oof__int(A,B),B) | -class_Numeral_Onumber__ring(B).  [resolve(955,a,935,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),B) = c_uminus(c_IntDef_Oof__int(A,B),B) | -class_Ring__and__Field_Ofield(B).  [resolve(955,a,941,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),B) = c_uminus(c_IntDef_Oof__int(A,B),B) | -class_Ring__and__Field_Oidom(B).  [resolve(955,a,942,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),B) = c_uminus(c_IntDef_Oof__int(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(955,a,943,b)].
% 8.74/8.92  Derived: c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),B) = c_uminus(c_IntDef_Oof__int(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(955,a,944,b)].
% 8.74/8.94  956 -class_Ring__and__Field_Ocomm__ring__1(A) | c_IntDef_Oof__int(c_times(B,C,tc_IntDef_Oint),A) = c_times(c_IntDef_Oof__int(B,A),c_IntDef_Oof__int(C,A),A) # label(cls_IntDef_Oof__int__mult_0) # label(axiom).  [assumption].
% 8.74/8.94  Derived: c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_times(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_IntDef_Oof__int(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(956,a,934,a)].
% 8.74/8.94  Derived: c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),C) = c_times(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Numeral_Onumber__ring(C).  [resolve(956,a,935,b)].
% 8.74/8.94  Derived: c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),C) = c_times(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(956,a,941,b)].
% 8.74/8.94  Derived: c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),C) = c_times(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(956,a,942,b)].
% 8.74/8.94  Derived: c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),C) = c_times(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(956,a,943,b)].
% 8.74/8.94  Derived: c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),C) = c_times(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(956,a,944,b)].
% 8.74/8.94  957 -class_Ring__and__Field_Ocomm__ring__1(A) | c_IntDef_Oof__int(c_NatArith_Oof__nat(B,tc_IntDef_Oint),A) = c_NatArith_Oof__nat(B,A) # label(cls_IntDef_Oof__int__of__nat__eq_0) # label(axiom).  [assumption].
% 8.74/8.94  Derived: c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),tc_IntDef_Oint) = c_NatArith_Oof__nat(A,tc_IntDef_Oint).  [resolve(957,a,934,a)].
% 8.74/8.94  Derived: c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),B) = c_NatArith_Oof__nat(A,B) | -class_Numeral_Onumber__ring(B).  [resolve(957,a,935,b)].
% 8.74/8.94  Derived: c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Ofield(B).  [resolve(957,a,941,b)].
% 8.74/8.94  Derived: c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Oidom(B).  [resolve(957,a,942,b)].
% 8.74/8.94  Derived: c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(957,a,943,b)].
% 8.74/8.94  Derived: c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(957,a,944,b)].
% 8.74/8.94  958 -class_Ring__and__Field_Ocomm__ring__1(A) | -c_lessequals(B,C,tc_nat) | c_NatArith_Oof__nat(c_minus(C,B,tc_nat),A) = c_minus(c_NatArith_Oof__nat(C,A),c_NatArith_Oof__nat(B,A),A) # label(cls_NatArith_Oof__nat__diff_0) # label(axiom).  [assumption].
% 8.74/8.94  Derived: -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),tc_IntDef_Oint) = c_minus(c_NatArith_Oof__nat(B,tc_IntDef_Oint),c_NatArith_Oof__nat(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(958,a,934,a)].
% 8.74/8.94  Derived: -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),C) = c_minus(c_NatArith_Oof__nat(B,C),c_NatArith_Oof__nat(A,C),C) | -class_Numeral_Onumber__ring(C).  [resolve(958,a,935,b)].
% 8.74/8.94  Derived: -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),C) = c_minus(c_NatArith_Oof__nat(B,C),c_NatArith_Oof__nat(A,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(958,a,941,b)].
% 8.74/8.94  Derived: -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),C) = c_minus(c_NatArith_Oof__nat(B,C),c_NatArith_Oof__nat(A,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(958,a,942,b)].
% 8.74/8.94  Derived: -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),C) = c_minus(c_NatArith_Oof__nat(B,C),c_NatArith_Oof__nat(A,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(958,a,943,b)].
% 8.74/8.94  Derived: -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),C) = c_minus(c_NatArith_Oof__nat(B,C),c_NatArith_Oof__nat(A,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(958,a,944,b)].
% 8.74/8.94  959 -class_Power_Orecpower(A) | -class_Ring__and__Field_Ocomm__ring__1(A) | c_Nat_Opower(c_uminus(B,A),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) = c_Nat_Opower(B,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) # label(cls_NatBin_Opower__minus__even_0) # label(axiom).  [assumption].
% 8.80/8.96  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_Nat_Opower(c_uminus(A,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),B,tc_nat),tc_IntDef_Oint) = c_Nat_Opower(A,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),B,tc_nat),tc_IntDef_Oint).  [resolve(959,b,934,a)].
% 8.80/8.96  Derived: -class_Power_Orecpower(A) | c_Nat_Opower(c_uminus(B,A),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) = c_Nat_Opower(B,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) | -class_Numeral_Onumber__ring(A).  [resolve(959,b,935,b)].
% 8.80/8.96  Derived: -class_Power_Orecpower(A) | c_Nat_Opower(c_uminus(B,A),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) = c_Nat_Opower(B,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) | -class_Ring__and__Field_Ofield(A).  [resolve(959,b,941,b)].
% 8.80/8.96  Derived: -class_Power_Orecpower(A) | c_Nat_Opower(c_uminus(B,A),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) = c_Nat_Opower(B,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) | -class_Ring__and__Field_Oidom(A).  [resolve(959,b,942,b)].
% 8.80/8.96  Derived: -class_Power_Orecpower(A) | c_Nat_Opower(c_uminus(B,A),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) = c_Nat_Opower(B,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(959,b,943,b)].
% 8.80/8.96  Derived: -class_Power_Orecpower(A) | c_Nat_Opower(c_uminus(B,A),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) = c_Nat_Opower(B,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(959,b,944,b)].
% 8.80/8.96  960 -class_Power_Orecpower(A) | -class_Ring__and__Field_Ocomm__ring__1(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_1 # label(cls_Parity_Ominus__one__even__power_0) # label(axiom).  [assumption].
% 8.80/8.96  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_Parity_Oeven(A,tc_nat) | c_Nat_Opower(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) = c_1.  [resolve(960,b,934,a)].
% 8.80/8.96  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_1 | -class_Numeral_Onumber__ring(A).  [resolve(960,b,935,b)].
% 8.80/8.96  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_1 | -class_Ring__and__Field_Ofield(A).  [resolve(960,b,941,b)].
% 8.80/8.96  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_1 | -class_Ring__and__Field_Oidom(A).  [resolve(960,b,942,b)].
% 8.80/8.96  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_1 | -class_Ring__and__Field_Oordered__field(A).  [resolve(960,b,943,b)].
% 8.80/8.96  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_1 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(960,b,944,b)].
% 8.80/8.97  961 -class_Power_Orecpower(A) | -class_Ring__and__Field_Ocomm__ring__1(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_uminus(c_1,A) # label(cls_Parity_Ominus__one__odd__power_0) # label(axiom).  [assumption].
% 8.80/8.97  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_Parity_Oeven(A,tc_nat) | c_Nat_Opower(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) = c_uminus(c_1,tc_IntDef_Oint).  [resolve(961,b,934,a)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_uminus(c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(961,b,935,b)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_uminus(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(961,b,941,b)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_uminus(c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(961,b,942,b)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(961,b,943,b)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(961,b,944,b)].
% 8.80/8.97  962 -class_Power_Orecpower(A) | -class_Ring__and__Field_Ocomm__ring__1(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_Nat_Opower(C,B,A) # label(cls_Parity_Opower__minus__even_0) # label(axiom).  [assumption].
% 8.80/8.97  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_Parity_Oeven(A,tc_nat) | c_Nat_Opower(c_uminus(B,tc_IntDef_Oint),A,tc_IntDef_Oint) = c_Nat_Opower(B,A,tc_IntDef_Oint).  [resolve(962,b,934,a)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_Nat_Opower(C,B,A) | -class_Numeral_Onumber__ring(A).  [resolve(962,b,935,b)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_Nat_Opower(C,B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(962,b,941,b)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_Nat_Opower(C,B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(962,b,942,b)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_Nat_Opower(C,B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(962,b,943,b)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_Nat_Opower(C,B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(962,b,944,b)].
% 8.80/8.97  963 -class_Power_Orecpower(A) | -class_Ring__and__Field_Ocomm__ring__1(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_uminus(c_Nat_Opower(C,B,A),A) # label(cls_Parity_Opower__minus__odd_0) # label(axiom).  [assumption].
% 8.80/8.97  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_Parity_Oeven(A,tc_nat) | c_Nat_Opower(c_uminus(B,tc_IntDef_Oint),A,tc_IntDef_Oint) = c_uminus(c_Nat_Opower(B,A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(963,b,934,a)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_uminus(c_Nat_Opower(C,B,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(963,b,935,b)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_uminus(c_Nat_Opower(C,B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(963,b,941,b)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_uminus(c_Nat_Opower(C,B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(963,b,942,b)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_uminus(c_Nat_Opower(C,B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(963,b,943,b)].
% 8.80/8.97  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_uminus(c_Nat_Opower(C,B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(963,b,944,b)].
% 8.90/9.06  964 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(43,a,51,b)].
% 8.90/9.06  965 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(63,a,51,b)].
% 8.90/9.06  966 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(64,a,51,b)].
% 8.90/9.06  967 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(65,a,51,b)].
% 8.90/9.06  968 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(66,a,51,b)].
% 8.90/9.06  969 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(67,a,51,b)].
% 8.90/9.06  970 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(68,a,51,b)].
% 8.90/9.06  971 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(69,a,51,b)].
% 8.90/9.06  972 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(70,a,51,b)].
% 8.90/9.06  973 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(71,a,77,b)].
% 8.90/9.06  974 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(100,a,77,b)].
% 8.90/9.06  975 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(102,a,77,b)].
% 8.90/9.06  976 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(108,b,77,b)].
% 8.90/9.06  977 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(109,b,77,b)].
% 8.90/9.06  978 class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(119,a,116,b)].
% 8.90/9.06  979 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(135,b,116,b)].
% 8.90/9.06  980 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(136,b,116,b)].
% 8.90/9.06  981 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(138,b,116,b)].
% 8.90/9.06  982 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(140,c,116,b)].
% 8.90/9.06  983 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(141,c,116,b)].
% 8.90/9.06  984 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(183,a,157,b)].
% 8.90/9.06  985 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(184,a,157,b)].
% 8.90/9.06  986 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(217,a,191,b)].
% 8.90/9.06  987 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(223,a,191,b)].
% 8.90/9.06  988 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(224,a,191,b)].
% 8.90/9.06  989 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(226,b,191,b)].
% 8.90/9.06  990 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(227,b,191,b)].
% 8.96/9.12  991 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(262,b,234,b)].
% 8.96/9.12  992 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(263,c,234,b)].
% 8.96/9.12  993 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(264,c,234,b)].
% 8.96/9.12  994 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(265,b,234,b)].
% 8.96/9.12  995 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(266,b,234,b)].
% 8.96/9.12  996 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(268,b,234,b)].
% 8.96/9.12  997 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(269,b,234,b)].
% 8.96/9.12  998 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(307,a,287,b)].
% 8.96/9.12  999 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(308,a,287,b)].
% 8.96/9.12  1000 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(346,b,326,b)].
% 8.96/9.12  1001 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(380,a,356,b)].
% 8.96/9.12  1002 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(381,a,356,b)].
% 8.96/9.12  1003 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(389,c,356,b)].
% 8.96/9.12  1004 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(390,c,356,b)].
% 8.96/9.12  1005 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(391,b,356,b)].
% 8.96/9.12  1006 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(410,a,397,b)].
% 8.96/9.12  1007 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(413,b,397,b)].
% 8.96/9.12  1008 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(414,b,397,b)].
% 8.96/9.12  1009 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(415,a,397,b)].
% 8.96/9.12  1010 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(416,a,397,b)].
% 8.96/9.12  1011 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(417,a,397,b)].
% 8.96/9.12  1012 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(439,b,397,b)].
% 8.96/9.12  1013 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(440,b,397,b)].
% 8.96/9.12  1014 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(441,b,397,b)].
% 8.96/9.12  1015 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(442,c,397,b)].
% 8.96/9.12  1016 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(443,c,397,b)].
% 8.96/9.12  1017 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(444,b,397,b)].
% 8.96/9.12  1018 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(480,b,452,b)].
% 8.96/9.12  1019 c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(598,a,587,b)].
% 8.96/9.12  1020 c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(599,a,587,b)].
% 8.96/9.12  1021 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(633,b,616,b)].
% 8.96/9.12  1022 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(637,d,616,b)].
% 8.96/9.14  1023 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(638,d,616,b)].
% 8.96/9.14  1024 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(639,d,616,b)].
% 8.96/9.14  1025 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(640,d,616,b)].
% 8.96/9.14  1026 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(641,d,616,b)].
% 8.96/9.14  1027 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(642,d,616,b)].
% 8.96/9.14  1028 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(643,d,616,b)].
% 8.96/9.14  1029 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(644,d,616,b)].
% 8.96/9.14  1030 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(645,d,616,b)].
% 8.96/9.14  1031 c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(681,b,651,b)].
% 8.96/9.14  1032 c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(682,b,651,b)].
% 8.96/9.14  1033 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(727,b,688,b)].
% 8.96/9.14  1034 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(729,d,688,b)].
% 8.96/9.14  Derived: -class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) | c_uminus(A,tc_IntDef_Oint) != c_1 | A = c_uminus(c_1,tc_IntDef_Oint).  [resolve(1034,d,934,a)].
% 8.96/9.14  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(1034,d,935,b)].
% 8.96/9.14  1035 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(730,d,688,b)].
% 8.96/9.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1035,d,934,a)].
% 8.96/9.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(1035,d,935,b)].
% 8.96/9.14  1036 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(731,d,688,b)].
% 8.96/9.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1036,d,934,a)].
% 8.96/9.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(1036,d,935,b)].
% 8.96/9.14  1037 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(732,d,688,b)].
% 8.96/9.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1037,d,934,a)].
% 8.96/9.14  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(1037,d,935,b)].
% 8.96/9.15  1038 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(733,d,688,b)].
% 8.96/9.15  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(A,c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_1,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1038,d,934,a)].
% 8.96/9.15  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(1038,d,935,b)].
% 8.96/9.15  1039 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(734,d,688,b)].
% 8.96/9.15  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | c_lessequals(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint).  [resolve(1039,d,934,a)].
% 8.96/9.15  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Numeral_Onumber__ring(A).  [resolve(1039,d,935,b)].
% 8.96/9.15  1040 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(735,d,688,b)].
% 8.96/9.15  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_lessequals(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(1040,d,934,a)].
% 8.96/9.15  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(1040,d,935,b)].
% 8.96/9.15  1041 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(736,d,688,b)].
% 8.96/9.15  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | c_less(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint).  [resolve(1041,d,934,a)].
% 8.96/9.15  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Numeral_Onumber__ring(A).  [resolve(1041,d,935,b)].
% 8.96/9.15  1042 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(737,d,688,b)].
% 8.96/9.15  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(c_uminus(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(1042,d,934,a)].
% 8.96/9.15  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(1042,d,935,b)].
% 8.96/9.15  1043 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(738,b,688,b)].
% 8.96/9.15  1044 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(739,b,688,b)].
% 8.96/9.15  1045 c_times(c_1,A,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(740,b,688,b)].
% 8.96/9.15  Derived: c_times(c_1,A,tc_IntDef_Oint) = A.  [resolve(1045,b,934,a)].
% 8.96/9.15  Derived: c_times(c_1,A,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(1045,b,935,b)].
% 8.96/9.15  1046 c_times(A,c_1,B) = A | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(741,b,688,b)].
% 8.96/9.15  Derived: c_times(A,c_1,tc_IntDef_Oint) = A.  [resolve(1046,b,934,a)].
% 8.96/9.15  Derived: c_times(A,c_1,B) = A | -class_Numeral_Onumber__ring(B).  [resolve(1046,b,935,b)].
% 8.96/9.15  1047 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(783,b,747,b)].
% 8.96/9.15  1048 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(830,c,787,b)].
% 9.00/9.17  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_minus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1048,c,934,a)].
% 9.00/9.17  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Numeral_Onumber__ring(A).  [resolve(1048,c,935,b)].
% 9.00/9.17  1049 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(831,c,787,b)].
% 9.00/9.17  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_minus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1049,c,934,a)].
% 9.00/9.17  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Numeral_Onumber__ring(A).  [resolve(1049,c,935,b)].
% 9.00/9.17  1050 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(832,b,787,b)].
% 9.00/9.17  Derived: c_times(c_uminus(A,tc_IntDef_Oint),c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint) = c_times(A,B,tc_IntDef_Oint).  [resolve(1050,b,934,a)].
% 9.00/9.17  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Numeral_Onumber__ring(B).  [resolve(1050,b,935,b)].
% 9.00/9.17  1051 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(833,b,787,b)].
% 9.00/9.17  Derived: c_times(c_uminus(A,tc_IntDef_Oint),B,tc_IntDef_Oint) = c_uminus(c_times(A,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1051,b,934,a)].
% 9.00/9.17  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Numeral_Onumber__ring(B).  [resolve(1051,b,935,b)].
% 9.00/9.17  1052 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(834,b,787,b)].
% 9.00/9.17  Derived: c_times(A,c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_times(A,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1052,b,934,a)].
% 9.00/9.17  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Numeral_Onumber__ring(C).  [resolve(1052,b,935,b)].
% 9.00/9.17  1053 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(848,b,787,b)].
% 9.00/9.17  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(1053,b,934,a)].
% 9.00/9.17  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A).  [resolve(1053,b,935,b)].
% 9.00/9.17  1054 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(850,b,787,b)].
% 9.00/9.17  Derived: c_times(c_0,A,tc_IntDef_Oint) = c_0.  [resolve(1054,b,934,a)].
% 9.00/9.17  Derived: c_times(c_0,A,B) = c_0 | -class_Numeral_Onumber__ring(B).  [resolve(1054,b,935,b)].
% 9.00/9.17  1055 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(851,b,787,b)].
% 9.00/9.17  Derived: c_times(A,c_0,tc_IntDef_Oint) = c_0.  [resolve(1055,b,934,a)].
% 9.00/9.17  Derived: c_times(A,c_0,B) = c_0 | -class_Numeral_Onumber__ring(B).  [resolve(1055,b,935,b)].
% 9.00/9.17  1056 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(852,b,787,b)].
% 9.00/9.17  Derived: class_HOL_Ozero(tc_IntDef_Oint).  [resolve(1056,b,934,a)].
% 9.00/9.17  Derived: class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A).  [resolve(1056,b,935,b)].
% 9.00/9.17  1057 c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(869,a,858,b)].
% 9.00/9.17  Derived: c_in(c_0,c_IntDef_ONats,tc_IntDef_Oint).  [resolve(1057,b,934,a)].
% 9.00/9.17  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Numeral_Onumber__ring(A).  [resolve(1057,b,935,b)].
% 9.00/9.17  1058 c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(870,a,858,b)].
% 9.00/9.18  Derived: c_in(c_1,c_IntDef_ONats,tc_IntDef_Oint).  [resolve(1058,b,934,a)].
% 9.00/9.18  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Numeral_Onumber__ring(A).  [resolve(1058,b,935,b)].
% 9.00/9.18  1059 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(871,a,858,b)].
% 9.00/9.18  Derived: -c_in(A,c_IntDef_ONats,tc_IntDef_Oint) | -c_in(B,c_IntDef_ONats,tc_IntDef_Oint) | c_in(c_plus(B,A,tc_IntDef_Oint),c_IntDef_ONats,tc_IntDef_Oint).  [resolve(1059,d,934,a)].
% 9.00/9.18  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Numeral_Onumber__ring(B).  [resolve(1059,d,935,b)].
% 9.00/9.18  1060 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(872,a,858,b)].
% 9.00/9.18  Derived: -c_in(A,c_IntDef_ONats,tc_IntDef_Oint) | -c_in(B,c_IntDef_ONats,tc_IntDef_Oint) | c_in(c_times(B,A,tc_IntDef_Oint),c_IntDef_ONats,tc_IntDef_Oint).  [resolve(1060,d,934,a)].
% 9.00/9.18  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Numeral_Onumber__ring(B).  [resolve(1060,d,935,b)].
% 9.00/9.18  1061 c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(873,a,858,b)].
% 9.00/9.18  Derived: c_in(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_IntDef_ONats,tc_IntDef_Oint).  [resolve(1061,b,934,a)].
% 9.00/9.18  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Numeral_Onumber__ring(B).  [resolve(1061,b,935,b)].
% 9.00/9.18  1062 c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Ocomm__ring__1(B).  [resolve(874,a,858,b)].
% 9.00/9.18  Derived: c_NatArith_Oof__nat(c_Suc(A),tc_IntDef_Oint) = c_plus(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(1062,b,934,a)].
% 9.00/9.18  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Numeral_Onumber__ring(B).  [resolve(1062,b,935,b)].
% 9.00/9.18  1063 c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(875,a,858,b)].
% 9.00/9.18  Derived: c_NatArith_Oof__nat(c_1,tc_IntDef_Oint) = c_1.  [resolve(1063,b,934,a)].
% 9.00/9.18  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Numeral_Onumber__ring(A).  [resolve(1063,b,935,b)].
% 9.00/9.18  1064 c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(876,a,858,b)].
% 9.00/9.18  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),tc_IntDef_Oint) = c_plus(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1064,b,934,a)].
% 9.00/9.18  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Numeral_Onumber__ring(C).  [resolve(1064,b,935,b)].
% 9.00/9.18  1065 c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Ocomm__ring__1(C).  [resolve(877,a,858,b)].
% 9.00/9.18  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),tc_IntDef_Oint) = c_times(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1065,b,934,a)].
% 9.00/9.18  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Numeral_Onumber__ring(C).  [resolve(1065,b,935,b)].
% 9.00/9.18  1066 -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(878,a,858,b)].
% 9.00/9.18  Derived: -c_IntDef_Oiszero(c_1,tc_IntDef_Oint).  [resolve(1066,b,934,a)].
% 9.00/9.18  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Numeral_Onumber__ring(A).  [resolve(1066,b,935,b)].
% 9.00/9.18  1067 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(928,b,858,b)].
% 9.00/9.18  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(1067,b,934,a)].
% 9.00/9.18  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(1067,b,935,b)].
% 9.00/9.18  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(1067,b,941,b)].
% 9.00/9.18  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(1067,b,942,b)].
% 9.07/9.26  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1067,b,943,b)].
% 9.07/9.26  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1067,b,944,b)].
% 9.07/9.26  1068 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A).  [resolve(929,b,858,b)].
% 9.07/9.26  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(1068,b,934,a)].
% 9.07/9.26  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A).  [resolve(1068,b,935,b)].
% 9.07/9.26  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(1068,b,941,b)].
% 9.07/9.26  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(1068,b,942,b)].
% 9.07/9.26  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1068,b,943,b)].
% 9.07/9.26  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1068,b,944,b)].
% 9.07/9.27  1069 -class_LOrder_Omeet__semilorder(A) | class_Orderings_Oord(A) # label(clsrel_LOrder_Omeet__semilorder_0) # label(axiom).  [assumption].
% 9.07/9.27  1070 class_LOrder_Omeet__semilorder(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_32) # label(axiom).  [assumption].
% 9.07/9.27  1071 class_LOrder_Omeet__semilorder(tc_nat) # label(clsarity_nat_4) # label(axiom).  [assumption].
% 9.07/9.27  1072 -class_LOrder_Olorder(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_LOrder_Olorder_0) # label(axiom).  [assumption].
% 9.07/9.27  1073 -class_OrderedGroup_Olordered__ab__group(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group_17) # label(axiom).  [assumption].
% 9.07/9.27  1074 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_16) # label(axiom).  [assumption].
% 9.07/9.27  1075 -class_OrderedGroup_Olordered__ab__group__join(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_18) # label(axiom).  [assumption].
% 9.07/9.27  1076 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_15) # label(axiom).  [assumption].
% 9.07/9.27  1077 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) # label(axiom).  [assumption].
% 9.07/9.27  1078 -class_Orderings_Olinorder(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Orderings_Olinorder_2) # label(axiom).  [assumption].
% 9.07/9.27  1079 -class_Ring__and__Field_Olordered__ring(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Olordered__ring_28) # label(axiom).  [assumption].
% 9.07/9.27  Derived: -class_Ring__and__Field_Olordered__ring(A) | class_Orderings_Oord(A).  [resolve(1079,b,1069,a)].
% 9.07/9.27  1080 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) # label(axiom).  [assumption].
% 9.07/9.27  1081 -class_Ring__and__Field_Oordered__field(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__field_53) # label(axiom).  [assumption].
% 9.07/9.27  1082 -class_Ring__and__Field_Oordered__idom(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__idom_36) # label(axiom).  [assumption].
% 9.07/9.27  1083 -class_Ring__and__Field_Oordered__ring__strict(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_20) # label(axiom).  [assumption].
% 9.07/9.27  1084 -class_Ring__and__Field_Oordered__semidom(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__semidom_30) # label(axiom).  [assumption].
% 9.07/9.27  1085 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_13) # label(axiom).  [assumption].
% 9.07/9.27  1086 -class_Wellfounded__Recursion_Owellorder(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Wellfounded__Recursion_Owellorder_2) # label(axiom).  [assumption].
% 9.18/9.34  1087 -class_LOrder_Omeet__semilorder(A) | c_LOrder_Omeet(B,B,A) = B # label(cls_LOrder_Omeet__idempotent_0) # label(axiom).  [assumption].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,tc_IntDef_Oint) = A.  [resolve(1087,a,1070,a)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,tc_nat) = A.  [resolve(1087,a,1071,a)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_LOrder_Olorder(B).  [resolve(1087,a,1072,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1087,a,1073,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1087,a,1074,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1087,a,1075,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1087,a,1076,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1087,a,1077,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Orderings_Olinorder(B).  [resolve(1087,a,1078,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1087,a,1079,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1087,a,1080,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1087,a,1081,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1087,a,1082,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1087,a,1083,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1087,a,1084,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1087,a,1085,b)].
% 9.18/9.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1087,a,1086,b)].
% 9.18/9.34  1088 -class_LOrder_Omeet__semilorder(A) | c_lessequals(B,B,A).  [resolve(7,b,2,a)].
% 9.18/9.34  Derived: c_lessequals(A,A,tc_IntDef_Oint).  [resolve(1088,a,1070,a)].
% 9.18/9.34  Derived: c_lessequals(A,A,tc_nat).  [resolve(1088,a,1071,a)].
% 9.18/9.34  Derived: c_lessequals(A,A,B) | -class_LOrder_Olorder(B).  [resolve(1088,a,1072,b)].
% 9.18/9.34  1089 class_Orderings_Oord(A) | -class_LOrder_Omeet__semilorder(A).  [resolve(18,a,7,b)].
% 9.18/9.34  Derived: class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1089,b,1070,a)].
% 9.18/9.34  Derived: class_Orderings_Oord(tc_nat).  [resolve(1089,b,1071,a)].
% 9.18/9.34  Derived: class_Orderings_Oord(A) | -class_LOrder_Olorder(A).  [resolve(1089,b,1072,b)].
% 9.18/9.34  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1089,b,1080,b)].
% 9.18/9.34  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1089,b,1081,b)].
% 9.18/9.34  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1089,b,1082,b)].
% 9.18/9.34  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1089,b,1083,b)].
% 9.18/9.34  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1089,b,1084,b)].
% 9.18/9.34  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1089,b,1085,b)].
% 9.18/9.34  1090 -c_less(A,A,B) | -class_LOrder_Omeet__semilorder(B).  [resolve(33,a,7,b)].
% 9.18/9.34  Derived: -c_less(A,A,tc_IntDef_Oint).  [resolve(1090,b,1070,a)].
% 9.18/9.34  Derived: -c_less(A,A,tc_nat).  [resolve(1090,b,1071,a)].
% 9.18/9.34  Derived: -c_less(A,A,B) | -class_LOrder_Olorder(B).  [resolve(1090,b,1072,b)].
% 9.18/9.34  1091 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_LOrder_Omeet__semilorder(C).  [resolve(34,a,7,b)].
% 9.18/9.34  Derived: -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1091,c,1070,a)].
% 9.18/9.34  Derived: -c_less(A,B,tc_nat) | c_SetInterval_OatLeastAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1091,c,1071,a)].
% 9.18/9.34  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_LOrder_Olorder(C).  [resolve(1091,c,1072,b)].
% 9.18/9.34  1092 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_LOrder_Omeet__semilorder(B).  [resolve(35,a,7,b)].
% 9.20/9.36  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_IntDef_Oint) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1092,b,1070,a)].
% 9.20/9.36  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_nat) = c_insert(A,c_emptyset,tc_nat).  [resolve(1092,b,1071,a)].
% 9.20/9.36  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_LOrder_Olorder(B).  [resolve(1092,b,1072,b)].
% 9.20/9.36  1093 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_LOrder_Omeet__semilorder(C).  [resolve(36,a,7,b)].
% 9.20/9.36  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1093,c,1070,a)].
% 9.20/9.36  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OatLeastLessThan(B,A,tc_nat) = c_emptyset.  [resolve(1093,c,1071,a)].
% 9.20/9.36  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_LOrder_Olorder(C).  [resolve(1093,c,1072,b)].
% 9.20/9.36  1094 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_LOrder_Omeet__semilorder(B).  [resolve(37,a,7,b)].
% 9.20/9.36  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1094,c,1070,a)].
% 9.20/9.36  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat).  [resolve(1094,c,1071,a)].
% 9.20/9.36  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_LOrder_Olorder(B).  [resolve(1094,c,1072,b)].
% 9.20/9.36  1095 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_LOrder_Omeet__semilorder(C).  [resolve(38,a,7,b)].
% 9.20/9.36  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1095,c,1070,a)].
% 9.20/9.36  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)).  [resolve(1095,c,1071,a)].
% 9.20/9.36  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_LOrder_Olorder(C).  [resolve(1095,c,1072,b)].
% 9.20/9.36  1096 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_LOrder_Omeet__semilorder(B).  [resolve(39,a,7,b)].
% 9.20/9.36  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(1096,c,1070,a)].
% 9.20/9.36  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat).  [resolve(1096,c,1071,a)].
% 9.20/9.36  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_LOrder_Olorder(B).  [resolve(1096,c,1072,b)].
% 9.20/9.36  1097 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_LOrder_Omeet__semilorder(C).  [resolve(40,a,7,b)].
% 9.20/9.36  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1097,c,1070,a)].
% 9.20/9.36  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)).  [resolve(1097,c,1071,a)].
% 9.20/9.36  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_LOrder_Olorder(C).  [resolve(1097,c,1072,b)].
% 9.20/9.36  1098 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_LOrder_Omeet__semilorder(C).  [resolve(41,a,7,b)].
% 9.20/9.36  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OgreaterThanAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1098,c,1070,a)].
% 9.20/9.36  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OgreaterThanAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1098,c,1071,a)].
% 9.37/9.59  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_LOrder_Olorder(C).  [resolve(1098,c,1072,b)].
% 9.37/9.59  1099 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_LOrder_Omeet__semilorder(B).  [resolve(42,a,7,b)].
% 9.37/9.59  Derived: c_minus(c_insert(A,c_emptyset,tc_IntDef_Oint),c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1099,b,1070,a)].
% 9.37/9.59  Derived: c_minus(c_insert(A,c_emptyset,tc_nat),c_SetInterval_OlessThan(A,tc_nat),tc_set(tc_nat)) = c_insert(A,c_emptyset,tc_nat).  [resolve(1099,b,1071,a)].
% 9.37/9.59  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_LOrder_Olorder(B).  [resolve(1099,b,1072,b)].
% 9.37/9.59  1100 -class_LOrder_Ojoin__semilorder(A) | class_Orderings_Oord(A) # label(clsrel_LOrder_Ojoin__semilorder_0) # label(axiom).  [assumption].
% 9.37/9.59  1101 class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_33) # label(axiom).  [assumption].
% 9.37/9.59  1102 class_LOrder_Ojoin__semilorder(tc_nat) # label(clsarity_nat_5) # label(axiom).  [assumption].
% 9.37/9.59  1103 -class_LOrder_Olorder(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_LOrder_Olorder_3) # label(axiom).  [assumption].
% 9.37/9.59  1104 -class_OrderedGroup_Olordered__ab__group(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group_16) # label(axiom).  [assumption].
% 9.37/9.59  1105 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_15) # label(axiom).  [assumption].
% 9.37/9.59  1106 -class_OrderedGroup_Olordered__ab__group__join(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_15) # label(axiom).  [assumption].
% 9.37/9.59  1107 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_18) # label(axiom).  [assumption].
% 9.37/9.59  1108 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) # label(axiom).  [assumption].
% 9.37/9.59  1109 -class_Orderings_Olinorder(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Orderings_Olinorder_1) # label(axiom).  [assumption].
% 9.37/9.59  1110 -class_Ring__and__Field_Olordered__ring(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Olordered__ring_27) # label(axiom).  [assumption].
% 9.37/9.59  1111 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) # label(axiom).  [assumption].
% 9.37/9.59  1112 -class_Ring__and__Field_Oordered__field(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__field_52) # label(axiom).  [assumption].
% 9.37/9.59  1113 -class_Ring__and__Field_Oordered__idom(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__idom_35) # label(axiom).  [assumption].
% 9.37/9.59  1114 -class_Ring__and__Field_Oordered__ring__strict(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_19) # label(axiom).  [assumption].
% 9.37/9.59  1115 -class_Ring__and__Field_Oordered__semidom(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__semidom_29) # label(axiom).  [assumption].
% 9.37/9.59  1116 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_12) # label(axiom).  [assumption].
% 9.37/9.59  1117 -class_Wellfounded__Recursion_Owellorder(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Wellfounded__Recursion_Owellorder_3) # label(axiom).  [assumption].
% 9.37/9.59  1118 -class_LOrder_Ojoin__semilorder(A) | c_LOrder_Ojoin(B,B,A) = B # label(cls_LOrder_Ojoin__idempotent_0) # label(axiom).  [assumption].
% 9.37/9.59  Derived: c_LOrder_Ojoin(A,A,tc_IntDef_Oint) = A.  [resolve(1118,a,1101,a)].
% 9.37/9.59  Derived: c_LOrder_Ojoin(A,A,tc_nat) = A.  [resolve(1118,a,1102,a)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_LOrder_Olorder(B).  [resolve(1118,a,1103,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1118,a,1104,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1118,a,1105,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1118,a,1106,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1118,a,1107,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1118,a,1108,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Orderings_Olinorder(B).  [resolve(1118,a,1109,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1118,a,1110,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1118,a,1111,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1118,a,1112,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1118,a,1113,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1118,a,1114,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1118,a,1115,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1118,a,1116,b)].
% 9.72/9.89  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1118,a,1117,b)].
% 9.72/9.89  1119 -class_LOrder_Ojoin__semilorder(A) | c_lessequals(B,B,A).  [resolve(5,b,2,a)].
% 9.72/9.89  1120 class_Orderings_Oord(A) | -class_LOrder_Ojoin__semilorder(A).  [resolve(18,a,5,b)].
% 9.72/9.89  1121 -c_less(A,A,B) | -class_LOrder_Ojoin__semilorder(B).  [resolve(33,a,5,b)].
% 9.72/9.89  1122 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_LOrder_Ojoin__semilorder(C).  [resolve(34,a,5,b)].
% 9.72/9.89  1123 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_LOrder_Ojoin__semilorder(B).  [resolve(35,a,5,b)].
% 9.72/9.89  1124 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_LOrder_Ojoin__semilorder(C).  [resolve(36,a,5,b)].
% 9.72/9.89  1125 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_LOrder_Ojoin__semilorder(B).  [resolve(37,a,5,b)].
% 9.72/9.89  1126 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_LOrder_Ojoin__semilorder(C).  [resolve(38,a,5,b)].
% 9.72/9.89  1127 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_LOrder_Ojoin__semilorder(B).  [resolve(39,a,5,b)].
% 9.72/9.89  1128 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_LOrder_Ojoin__semilorder(C).  [resolve(40,a,5,b)].
% 9.72/9.89  1129 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_LOrder_Ojoin__semilorder(C).  [resolve(41,a,5,b)].
% 9.72/9.89  1130 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_LOrder_Ojoin__semilorder(B).  [resolve(42,a,5,b)].
% 9.72/9.89  1131 -class_LOrder_Olorder(A) | class_Orderings_Oord(A) # label(clsrel_LOrder_Olorder_1) # label(axiom).  [assumption].
% 9.72/9.89  1132 class_LOrder_Olorder(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_34) # label(axiom).  [assumption].
% 9.72/9.89  1133 class_LOrder_Olorder(tc_nat) # label(clsarity_nat_6) # label(axiom).  [assumption].
% 9.72/9.89  1134 -class_OrderedGroup_Olordered__ab__group(A) | class_LOrder_Olorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group_15) # label(axiom).  [assumption].
% 9.72/9.89  1135 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_LOrder_Olorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_14) # label(axiom).  [assumption].
% 9.72/9.89  1136 -class_OrderedGroup_Olordered__ab__group__join(A) | class_LOrder_Olorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_17) # label(axiom).  [assumption].
% 9.88/10.12  1137 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_LOrder_Olorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_17) # label(axiom).  [assumption].
% 9.88/10.12  1138 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_LOrder_Olorder(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) # label(axiom).  [assumption].
% 9.88/10.12  1139 -class_Orderings_Olinorder(A) | class_LOrder_Olorder(A) # label(clsrel_Orderings_Olinorder_0) # label(axiom).  [assumption].
% 9.88/10.12  1140 -class_Ring__and__Field_Olordered__ring(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Olordered__ring_26) # label(axiom).  [assumption].
% 9.88/10.12  1141 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) # label(axiom).  [assumption].
% 9.88/10.12  1142 -class_Ring__and__Field_Oordered__field(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Oordered__field_51) # label(axiom).  [assumption].
% 9.88/10.12  1143 -class_Ring__and__Field_Oordered__idom(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Oordered__idom_34) # label(axiom).  [assumption].
% 9.88/10.12  1144 -class_Ring__and__Field_Oordered__ring__strict(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_18) # label(axiom).  [assumption].
% 9.88/10.12  1145 -class_Ring__and__Field_Oordered__semidom(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Oordered__semidom_28) # label(axiom).  [assumption].
% 9.88/10.12  1146 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_11) # label(axiom).  [assumption].
% 9.88/10.12  1147 -class_Wellfounded__Recursion_Owellorder(A) | class_LOrder_Olorder(A) # label(clsrel_Wellfounded__Recursion_Owellorder_4) # label(axiom).  [assumption].
% 9.88/10.12  1148 -class_LOrder_Olorder(A) | c_lessequals(B,B,A).  [resolve(6,b,2,a)].
% 9.88/10.12  1149 class_Orderings_Oord(A) | -class_LOrder_Olorder(A).  [resolve(18,a,6,b)].
% 9.88/10.12  1150 -c_less(A,A,B) | -class_LOrder_Olorder(B).  [resolve(33,a,6,b)].
% 9.88/10.12  1151 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_LOrder_Olorder(C).  [resolve(34,a,6,b)].
% 9.88/10.12  1152 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_LOrder_Olorder(B).  [resolve(35,a,6,b)].
% 9.88/10.12  1153 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_LOrder_Olorder(C).  [resolve(36,a,6,b)].
% 9.88/10.12  1154 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_LOrder_Olorder(B).  [resolve(37,a,6,b)].
% 9.88/10.12  1155 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_LOrder_Olorder(C).  [resolve(38,a,6,b)].
% 9.88/10.12  1156 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_LOrder_Olorder(B).  [resolve(39,a,6,b)].
% 9.88/10.12  1157 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_LOrder_Olorder(C).  [resolve(40,a,6,b)].
% 9.88/10.12  1158 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_LOrder_Olorder(C).  [resolve(41,a,6,b)].
% 9.88/10.12  1159 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_LOrder_Olorder(B).  [resolve(42,a,6,b)].
% 9.88/10.12  1160 c_LOrder_Omeet(A,A,B) = A | -class_LOrder_Olorder(B).  [resolve(1087,a,1072,b)].
% 9.88/10.12  Derived: c_LOrder_Omeet(A,A,tc_IntDef_Oint) = A.  [resolve(1160,b,1132,a)].
% 9.88/10.12  Derived: c_LOrder_Omeet(A,A,tc_nat) = A.  [resolve(1160,b,1133,a)].
% 9.88/10.12  1161 c_lessequals(A,A,B) | -class_LOrder_Olorder(B).  [resolve(1088,a,1072,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,tc_IntDef_Oint).  [resolve(1161,b,1132,a)].
% 9.88/10.12  Derived: c_lessequals(A,A,tc_nat).  [resolve(1161,b,1133,a)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1161,b,1134,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1161,b,1135,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1161,b,1136,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1161,b,1137,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1161,b,1138,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_Orderings_Olinorder(B).  [resolve(1161,b,1139,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1161,b,1140,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1161,b,1141,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1161,b,1142,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1161,b,1143,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1161,b,1144,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1161,b,1145,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1161,b,1146,b)].
% 9.88/10.12  Derived: c_lessequals(A,A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1161,b,1147,b)].
% 9.88/10.12  1162 class_Orderings_Oord(A) | -class_LOrder_Olorder(A).  [resolve(1089,b,1072,b)].
% 9.88/10.12  Derived: class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1162,b,1132,a)].
% 9.88/10.12  Derived: class_Orderings_Oord(tc_nat).  [resolve(1162,b,1133,a)].
% 9.88/10.12  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(1162,b,1134,b)].
% 9.88/10.12  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(1162,b,1135,b)].
% 9.88/10.12  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(1162,b,1136,b)].
% 9.88/10.12  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(1162,b,1137,b)].
% 9.88/10.12  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1162,b,1138,b)].
% 9.88/10.12  Derived: class_Orderings_Oord(A) | -class_Orderings_Olinorder(A).  [resolve(1162,b,1139,b)].
% 9.88/10.12  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1162,b,1140,b)].
% 9.88/10.12  Derived: class_Orderings_Oord(A) | -class_Wellfounded__Recursion_Owellorder(A).  [resolve(1162,b,1147,b)].
% 9.88/10.12  1163 -c_less(A,A,B) | -class_LOrder_Olorder(B).  [resolve(1090,b,1072,b)].
% 9.88/10.12  Derived: -c_less(A,A,tc_IntDef_Oint).  [resolve(1163,b,1132,a)].
% 9.88/10.12  Derived: -c_less(A,A,tc_nat).  [resolve(1163,b,1133,a)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1163,b,1134,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1163,b,1135,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1163,b,1136,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1163,b,1137,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1163,b,1138,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_Orderings_Olinorder(B).  [resolve(1163,b,1139,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1163,b,1140,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1163,b,1141,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1163,b,1142,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1163,b,1143,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1163,b,1144,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1163,b,1145,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1163,b,1146,b)].
% 9.88/10.12  Derived: -c_less(A,A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1163,b,1147,b)].
% 9.88/10.12  1164 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_LOrder_Olorder(C).  [resolve(1091,c,1072,b)].
% 9.88/10.12  Derived: -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1164,c,1132,a)].
% 9.88/10.12  Derived: -c_less(A,B,tc_nat) | c_SetInterval_OatLeastAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1164,c,1133,a)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1164,c,1134,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1164,c,1135,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1164,c,1136,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1164,c,1137,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1164,c,1138,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Orderings_Olinorder(C).  [resolve(1164,c,1139,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1164,c,1140,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1164,c,1141,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1164,c,1142,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1164,c,1143,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1164,c,1144,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1164,c,1145,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1164,c,1146,b)].
% 9.88/10.12  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1164,c,1147,b)].
% 9.88/10.12  1165 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_LOrder_Olorder(B).  [resolve(1092,b,1072,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_IntDef_Oint) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1165,b,1132,a)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_nat) = c_insert(A,c_emptyset,tc_nat).  [resolve(1165,b,1133,a)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1165,b,1134,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1165,b,1135,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1165,b,1136,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1165,b,1137,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1165,b,1138,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Orderings_Olinorder(B).  [resolve(1165,b,1139,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1165,b,1140,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1165,b,1141,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1165,b,1142,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1165,b,1143,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1165,b,1144,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1165,b,1145,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1165,b,1146,b)].
% 9.88/10.12  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1165,b,1147,b)].
% 9.88/10.12  1166 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_LOrder_Olorder(C).  [resolve(1093,c,1072,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1166,c,1132,a)].
% 9.88/10.12  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OatLeastLessThan(B,A,tc_nat) = c_emptyset.  [resolve(1166,c,1133,a)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1166,c,1134,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1166,c,1135,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1166,c,1136,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1166,c,1137,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1166,c,1138,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Orderings_Olinorder(C).  [resolve(1166,c,1139,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1166,c,1140,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1166,c,1141,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1166,c,1142,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1166,c,1143,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1166,c,1144,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1166,c,1145,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1166,c,1146,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1166,c,1147,b)].
% 9.88/10.12  1167 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_LOrder_Olorder(B).  [resolve(1094,c,1072,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1167,c,1132,a)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat).  [resolve(1167,c,1133,a)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1167,c,1134,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1167,c,1135,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1167,c,1136,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1167,c,1137,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1167,c,1138,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Orderings_Olinorder(B).  [resolve(1167,c,1139,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1167,c,1140,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1167,c,1141,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1167,c,1142,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1167,c,1143,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1167,c,1144,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1167,c,1145,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1167,c,1146,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1167,c,1147,b)].
% 9.88/10.12  1168 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_LOrder_Olorder(C).  [resolve(1095,c,1072,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1168,c,1132,a)].
% 9.88/10.12  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)).  [resolve(1168,c,1133,a)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1168,c,1134,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1168,c,1135,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1168,c,1136,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1168,c,1137,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1168,c,1138,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Orderings_Olinorder(C).  [resolve(1168,c,1139,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1168,c,1140,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1168,c,1141,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1168,c,1142,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1168,c,1143,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1168,c,1144,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1168,c,1145,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1168,c,1146,b)].
% 9.88/10.12  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1168,c,1147,b)].
% 9.88/10.12  1169 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_LOrder_Olorder(B).  [resolve(1096,c,1072,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(1169,c,1132,a)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat).  [resolve(1169,c,1133,a)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1169,c,1134,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1169,c,1135,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1169,c,1136,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1169,c,1137,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1169,c,1138,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Orderings_Olinorder(B).  [resolve(1169,c,1139,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1169,c,1140,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1169,c,1141,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1169,c,1142,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1169,c,1143,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1169,c,1144,b)].
% 9.88/10.12  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1169,c,1145,b)].
% 9.88/10.13  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1169,c,1146,b)].
% 9.88/10.13  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1169,c,1147,b)].
% 9.88/10.13  1170 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_LOrder_Olorder(C).  [resolve(1097,c,1072,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1170,c,1132,a)].
% 9.88/10.13  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)).  [resolve(1170,c,1133,a)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1170,c,1134,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1170,c,1135,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1170,c,1136,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1170,c,1137,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1170,c,1138,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Orderings_Olinorder(C).  [resolve(1170,c,1139,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1170,c,1140,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1170,c,1141,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1170,c,1142,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1170,c,1143,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1170,c,1144,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1170,c,1145,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1170,c,1146,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1170,c,1147,b)].
% 9.88/10.13  1171 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_LOrder_Olorder(C).  [resolve(1098,c,1072,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OgreaterThanAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1171,c,1132,a)].
% 9.88/10.13  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OgreaterThanAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1171,c,1133,a)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1171,c,1134,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1171,c,1135,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1171,c,1136,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1171,c,1137,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1171,c,1138,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Orderings_Olinorder(C).  [resolve(1171,c,1139,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1171,c,1140,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1171,c,1141,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1171,c,1142,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1171,c,1143,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1171,c,1144,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1171,c,1145,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1171,c,1146,b)].
% 9.88/10.13  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1171,c,1147,b)].
% 9.88/10.13  1172 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_LOrder_Olorder(B).  [resolve(1099,b,1072,b)].
% 9.88/10.13  Derived: c_minus(c_insert(A,c_emptyset,tc_IntDef_Oint),c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1172,b,1132,a)].
% 9.88/10.13  Derived: c_minus(c_insert(A,c_emptyset,tc_nat),c_SetInterval_OlessThan(A,tc_nat),tc_set(tc_nat)) = c_insert(A,c_emptyset,tc_nat).  [resolve(1172,b,1133,a)].
% 9.88/10.13  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1172,b,1134,b)].
% 9.88/10.13  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1172,b,1135,b)].
% 9.88/10.13  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1172,b,1136,b)].
% 9.88/10.13  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1172,b,1137,b)].
% 9.88/10.13  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1172,b,1138,b)].
% 9.88/10.13  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Orderings_Olinorder(B).  [resolve(1172,b,1139,b)].
% 9.88/10.13  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1172,b,1140,b)].
% 9.88/10.13  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1172,b,1141,b)].
% 10.05/10.23  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1172,b,1142,b)].
% 10.05/10.23  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1172,b,1143,b)].
% 10.05/10.23  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1172,b,1144,b)].
% 10.05/10.23  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1172,b,1145,b)].
% 10.05/10.23  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1172,b,1146,b)].
% 10.05/10.23  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1172,b,1147,b)].
% 10.05/10.23  1173 c_LOrder_Ojoin(A,A,B) = A | -class_LOrder_Olorder(B).  [resolve(1118,a,1103,b)].
% 10.05/10.23  Derived: c_LOrder_Ojoin(A,A,tc_IntDef_Oint) = A.  [resolve(1173,b,1132,a)].
% 10.05/10.23  Derived: c_LOrder_Ojoin(A,A,tc_nat) = A.  [resolve(1173,b,1133,a)].
% 10.05/10.23  1174 -class_Orderings_Olinorder(A) | class_Orderings_Oord(A) # label(clsrel_Orderings_Olinorder_3) # label(axiom).  [assumption].
% 10.05/10.23  1175 class_Orderings_Olinorder(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_35) # label(axiom).  [assumption].
% 10.05/10.23  1176 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat_7) # label(axiom).  [assumption].
% 10.05/10.23  1177 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_Orderings_Olinorder(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) # label(axiom).  [assumption].
% 10.05/10.23  1178 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Orderings_Olinorder(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) # label(axiom).  [assumption].
% 10.05/10.23  1179 -class_Ring__and__Field_Oordered__field(A) | class_Orderings_Olinorder(A) # label(clsrel_Ring__and__Field_Oordered__field_41) # label(axiom).  [assumption].
% 10.05/10.23  1180 -class_Ring__and__Field_Oordered__idom(A) | class_Orderings_Olinorder(A) # label(clsrel_Ring__and__Field_Oordered__idom_33) # label(axiom).  [assumption].
% 10.05/10.23  1181 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Orderings_Olinorder(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_17) # label(axiom).  [assumption].
% 10.05/10.23  1182 -class_Ring__and__Field_Oordered__semidom(A) | class_Orderings_Olinorder(A) # label(clsrel_Ring__and__Field_Oordered__semidom_27) # label(axiom).  [assumption].
% 10.05/10.23  1183 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Orderings_Olinorder(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_10) # label(axiom).  [assumption].
% 10.05/10.23  1184 -class_Wellfounded__Recursion_Owellorder(A) | class_Orderings_Olinorder(A) # label(clsrel_Wellfounded__Recursion_Owellorder_5) # label(axiom).  [assumption].
% 10.05/10.23  1185 -class_Orderings_Olinorder(A) | -c_in(B,C,A) | -c_in(C,c_Finite__Set_OFinites,tc_set(A)) | c_lessequals(B,c_Finite__Set_OMax(C,A),A) | C = c_emptyset # label(cls_Finite__Set_OMax__ge_0) # label(axiom).  [assumption].
% 10.05/10.23  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_lessequals(A,c_Finite__Set_OMax(B,tc_IntDef_Oint),tc_IntDef_Oint) | B = c_emptyset.  [resolve(1185,a,1175,a)].
% 10.05/10.23  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_lessequals(A,c_Finite__Set_OMax(B,tc_nat),tc_nat) | B = c_emptyset.  [resolve(1185,a,1176,a)].
% 10.05/10.23  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1185,a,1177,b)].
% 10.05/10.23  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1185,a,1178,b)].
% 10.05/10.24  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1185,a,1179,b)].
% 10.05/10.24  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1185,a,1180,b)].
% 10.05/10.24  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1185,a,1181,b)].
% 10.05/10.24  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1185,a,1182,b)].
% 10.05/10.24  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1185,a,1183,b)].
% 10.05/10.24  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1185,a,1184,b)].
% 10.05/10.24  1186 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | c_in(c_Finite__Set_OMax(B,A),B,A) | B = c_emptyset # label(cls_Finite__Set_OMax__in_0) # label(axiom).  [assumption].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Finite__Set_OMax(A,tc_IntDef_Oint),A,tc_IntDef_Oint) | A = c_emptyset.  [resolve(1186,a,1175,a)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Finite__Set_OMax(A,tc_nat),A,tc_nat) | A = c_emptyset.  [resolve(1186,a,1176,a)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1186,a,1177,b)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1186,a,1178,b)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1186,a,1179,b)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1186,a,1180,b)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1186,a,1181,b)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1186,a,1182,b)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1186,a,1183,b)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1186,a,1184,b)].
% 10.05/10.24  1187 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | B = c_emptyset | c_Finite__Set_OMax(c_insert(C,B,A),A) = c_Orderings_Omax(C,c_Finite__Set_OMax(B,A),A) # label(cls_Finite__Set_OMax__insert_0) # label(axiom).  [assumption].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(B,A,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omax(B,c_Finite__Set_OMax(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1187,a,1175,a)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(B,A,tc_nat),tc_nat) = c_Orderings_Omax(B,c_Finite__Set_OMax(A,tc_nat),tc_nat).  [resolve(1187,a,1176,a)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1187,a,1177,b)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1187,a,1178,b)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1187,a,1179,b)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1187,a,1180,b)].
% 10.05/10.24  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1187,a,1181,b)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1187,a,1182,b)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1187,a,1183,b)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1187,a,1184,b)].
% 10.05/10.25  1188 -class_Orderings_Olinorder(A) | -c_in(B,C,A) | -c_in(C,c_Finite__Set_OFinites,tc_set(A)) | -c_lessequals(c_Finite__Set_OMax(C,A),D,A) | c_lessequals(B,D,A) | C = c_emptyset # label(cls_Finite__Set_OMax__le__iff_0) # label(axiom).  [assumption].
% 10.05/10.25  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(c_Finite__Set_OMax(B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint) | B = c_emptyset.  [resolve(1188,a,1175,a)].
% 10.05/10.25  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_lessequals(c_Finite__Set_OMax(B,tc_nat),C,tc_nat) | c_lessequals(A,C,tc_nat) | B = c_emptyset.  [resolve(1188,a,1176,a)].
% 10.05/10.25  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1188,a,1177,b)].
% 10.05/10.25  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1188,a,1178,b)].
% 10.05/10.25  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1188,a,1179,b)].
% 10.05/10.25  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1188,a,1180,b)].
% 10.05/10.25  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1188,a,1181,b)].
% 10.05/10.25  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1188,a,1182,b)].
% 10.05/10.25  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1188,a,1183,b)].
% 10.05/10.25  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1188,a,1184,b)].
% 10.05/10.25  1189 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | c_in(c_Main_OMax__le__iff__1(B,C,A),B,A) | c_lessequals(c_Finite__Set_OMax(B,A),C,A) | B = c_emptyset # label(cls_Finite__Set_OMax__le__iff_1) # label(axiom).  [assumption].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMax__le__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(1189,a,1175,a)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Main_OMax__le__iff__1(A,B,tc_nat),A,tc_nat) | c_lessequals(c_Finite__Set_OMax(A,tc_nat),B,tc_nat) | A = c_emptyset.  [resolve(1189,a,1176,a)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1189,a,1177,b)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1189,a,1178,b)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1189,a,1179,b)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1189,a,1180,b)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1189,a,1181,b)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1189,a,1182,b)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1189,a,1183,b)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1189,a,1184,b)].
% 10.05/10.25  1190 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | -c_lessequals(c_Main_OMax__le__iff__1(B,C,A),C,A) | c_lessequals(c_Finite__Set_OMax(B,A),C,A) | B = c_emptyset # label(cls_Finite__Set_OMax__le__iff_2) # label(axiom).  [assumption].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(c_Main_OMax__le__iff__1(A,B,tc_IntDef_Oint),B,tc_IntDef_Oint) | c_lessequals(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(1190,a,1175,a)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_lessequals(c_Main_OMax__le__iff__1(A,B,tc_nat),B,tc_nat) | c_lessequals(c_Finite__Set_OMax(A,tc_nat),B,tc_nat) | A = c_emptyset.  [resolve(1190,a,1176,a)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1190,a,1177,b)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1190,a,1178,b)].
% 10.05/10.25  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1190,a,1179,b)].
% 10.05/10.26  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1190,a,1180,b)].
% 10.05/10.26  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1190,a,1181,b)].
% 10.05/10.26  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1190,a,1182,b)].
% 10.05/10.26  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1190,a,1183,b)].
% 10.05/10.26  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1190,a,1184,b)].
% 10.05/10.26  1191 -class_Orderings_Olinorder(A) | -c_in(B,C,A) | -c_in(C,c_Finite__Set_OFinites,tc_set(A)) | -c_less(c_Finite__Set_OMax(C,A),D,A) | c_less(B,D,A) | C = c_emptyset # label(cls_Finite__Set_OMax__less__iff_0) # label(axiom).  [assumption].
% 10.05/10.26  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(c_Finite__Set_OMax(B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint) | B = c_emptyset.  [resolve(1191,a,1175,a)].
% 10.05/10.26  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_less(c_Finite__Set_OMax(B,tc_nat),C,tc_nat) | c_less(A,C,tc_nat) | B = c_emptyset.  [resolve(1191,a,1176,a)].
% 10.05/10.26  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1191,a,1177,b)].
% 10.05/10.26  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1191,a,1178,b)].
% 10.05/10.26  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1191,a,1179,b)].
% 10.05/10.26  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1191,a,1180,b)].
% 10.05/10.26  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1191,a,1181,b)].
% 10.05/10.26  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1191,a,1182,b)].
% 10.05/10.26  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1191,a,1183,b)].
% 10.05/10.26  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1191,a,1184,b)].
% 10.05/10.26  1192 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | c_in(c_Main_OMax__less__iff__1(B,C,A),B,A) | c_less(c_Finite__Set_OMax(B,A),C,A) | B = c_emptyset # label(cls_Finite__Set_OMax__less__iff_1) # label(axiom).  [assumption].
% 10.05/10.26  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMax__less__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(1192,a,1175,a)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Main_OMax__less__iff__1(A,B,tc_nat),A,tc_nat) | c_less(c_Finite__Set_OMax(A,tc_nat),B,tc_nat) | A = c_emptyset.  [resolve(1192,a,1176,a)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1192,a,1177,b)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1192,a,1178,b)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1192,a,1179,b)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1192,a,1180,b)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1192,a,1181,b)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1192,a,1182,b)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1192,a,1183,b)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1192,a,1184,b)].
% 10.05/10.27  1193 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | -c_less(c_Main_OMax__less__iff__1(B,C,A),C,A) | c_less(c_Finite__Set_OMax(B,A),C,A) | B = c_emptyset # label(cls_Finite__Set_OMax__less__iff_2) # label(axiom).  [assumption].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(c_Main_OMax__less__iff__1(A,B,tc_IntDef_Oint),B,tc_IntDef_Oint) | c_less(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(1193,a,1175,a)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_less(c_Main_OMax__less__iff__1(A,B,tc_nat),B,tc_nat) | c_less(c_Finite__Set_OMax(A,tc_nat),B,tc_nat) | A = c_emptyset.  [resolve(1193,a,1176,a)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1193,a,1177,b)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1193,a,1178,b)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1193,a,1179,b)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1193,a,1180,b)].
% 10.05/10.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1193,a,1181,b)].
% 10.13/10.28  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1193,a,1182,b)].
% 10.13/10.28  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1193,a,1183,b)].
% 10.13/10.28  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1193,a,1184,b)].
% 10.13/10.28  1194 -class_Orderings_Olinorder(A) | c_Finite__Set_OMax(c_insert(B,c_emptyset,A),A) = B # label(cls_Finite__Set_OMax__singleton_0) # label(axiom).  [assumption].
% 10.13/10.28  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(1194,a,1175,a)].
% 10.13/10.28  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,tc_nat),tc_nat) = A.  [resolve(1194,a,1176,a)].
% 10.13/10.28  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1194,a,1177,b)].
% 10.13/10.28  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1194,a,1178,b)].
% 10.13/10.28  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1194,a,1179,b)].
% 10.13/10.28  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1194,a,1180,b)].
% 10.13/10.28  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1194,a,1181,b)].
% 10.13/10.28  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1194,a,1182,b)].
% 10.13/10.28  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1194,a,1183,b)].
% 10.13/10.28  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1194,a,1184,b)].
% 10.13/10.28  1195 -class_Orderings_Olinorder(A) | -c_in(B,C,A) | -c_in(C,c_Finite__Set_OFinites,tc_set(A)) | -c_lessequals(D,c_Finite__Set_OMin(C,A),A) | c_lessequals(D,B,A) | C = c_emptyset # label(cls_Finite__Set_OMin__ge__iff_0) # label(axiom).  [assumption].
% 10.13/10.28  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(C,c_Finite__Set_OMin(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(C,A,tc_IntDef_Oint) | B = c_emptyset.  [resolve(1195,a,1175,a)].
% 10.13/10.28  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_lessequals(C,c_Finite__Set_OMin(B,tc_nat),tc_nat) | c_lessequals(C,A,tc_nat) | B = c_emptyset.  [resolve(1195,a,1176,a)].
% 10.13/10.28  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1195,a,1177,b)].
% 10.13/10.28  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1195,a,1178,b)].
% 10.13/10.28  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1195,a,1179,b)].
% 10.13/10.28  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1195,a,1180,b)].
% 10.13/10.28  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1195,a,1181,b)].
% 10.13/10.29  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1195,a,1182,b)].
% 10.13/10.29  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1195,a,1183,b)].
% 10.13/10.29  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1195,a,1184,b)].
% 10.13/10.29  1196 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | c_in(c_Main_OMin__ge__iff__1(B,C,A),B,A) | c_lessequals(C,c_Finite__Set_OMin(B,A),A) | B = c_emptyset # label(cls_Finite__Set_OMin__ge__iff_1) # label(axiom).  [assumption].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMin__ge__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(1196,a,1175,a)].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Main_OMin__ge__iff__1(A,B,tc_nat),A,tc_nat) | c_lessequals(B,c_Finite__Set_OMin(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(1196,a,1176,a)].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1196,a,1177,b)].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1196,a,1178,b)].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1196,a,1179,b)].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1196,a,1180,b)].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1196,a,1181,b)].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1196,a,1182,b)].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1196,a,1183,b)].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1196,a,1184,b)].
% 10.13/10.29  1197 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(B,C,A),A) | c_lessequals(C,c_Finite__Set_OMin(B,A),A) | B = c_emptyset # label(cls_Finite__Set_OMin__ge__iff_2) # label(axiom).  [assumption].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(B,c_Main_OMin__ge__iff__1(A,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(1197,a,1175,a)].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_lessequals(B,c_Main_OMin__ge__iff__1(A,B,tc_nat),tc_nat) | c_lessequals(B,c_Finite__Set_OMin(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(1197,a,1176,a)].
% 10.13/10.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1197,a,1177,b)].
% 10.13/10.30  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1197,a,1178,b)].
% 10.13/10.30  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1197,a,1179,b)].
% 10.13/10.30  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1197,a,1180,b)].
% 10.13/10.30  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1197,a,1181,b)].
% 10.13/10.30  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1197,a,1182,b)].
% 10.13/10.30  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1197,a,1183,b)].
% 10.13/10.30  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1197,a,1184,b)].
% 10.13/10.30  1198 -class_Orderings_Olinorder(A) | -c_in(B,C,A) | -c_in(C,c_Finite__Set_OFinites,tc_set(A)) | -c_less(D,c_Finite__Set_OMin(C,A),A) | c_less(D,B,A) | C = c_emptyset # label(cls_Finite__Set_OMin__gr__iff_0) # label(axiom).  [assumption].
% 10.13/10.30  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(C,c_Finite__Set_OMin(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(C,A,tc_IntDef_Oint) | B = c_emptyset.  [resolve(1198,a,1175,a)].
% 10.13/10.30  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_less(C,c_Finite__Set_OMin(B,tc_nat),tc_nat) | c_less(C,A,tc_nat) | B = c_emptyset.  [resolve(1198,a,1176,a)].
% 10.13/10.30  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1198,a,1177,b)].
% 10.13/10.30  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1198,a,1178,b)].
% 10.13/10.30  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1198,a,1179,b)].
% 10.13/10.30  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1198,a,1180,b)].
% 10.13/10.30  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1198,a,1181,b)].
% 10.13/10.30  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1198,a,1182,b)].
% 10.13/10.30  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1198,a,1183,b)].
% 10.13/10.30  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1198,a,1184,b)].
% 10.13/10.31  1199 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | c_in(c_Main_OMin__gr__iff__1(B,C,A),B,A) | c_less(C,c_Finite__Set_OMin(B,A),A) | B = c_emptyset # label(cls_Finite__Set_OMin__gr__iff_1) # label(axiom).  [assumption].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMin__gr__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(1199,a,1175,a)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Main_OMin__gr__iff__1(A,B,tc_nat),A,tc_nat) | c_less(B,c_Finite__Set_OMin(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(1199,a,1176,a)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1199,a,1177,b)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1199,a,1178,b)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1199,a,1179,b)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1199,a,1180,b)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1199,a,1181,b)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1199,a,1182,b)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1199,a,1183,b)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1199,a,1184,b)].
% 10.13/10.31  1200 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | -c_less(C,c_Main_OMin__gr__iff__1(B,C,A),A) | c_less(C,c_Finite__Set_OMin(B,A),A) | B = c_emptyset # label(cls_Finite__Set_OMin__gr__iff_2) # label(axiom).  [assumption].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(B,c_Main_OMin__gr__iff__1(A,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(1200,a,1175,a)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_less(B,c_Main_OMin__gr__iff__1(A,B,tc_nat),tc_nat) | c_less(B,c_Finite__Set_OMin(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(1200,a,1176,a)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1200,a,1177,b)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1200,a,1178,b)].
% 10.13/10.31  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1200,a,1179,b)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1200,a,1180,b)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1200,a,1181,b)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1200,a,1182,b)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1200,a,1183,b)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1200,a,1184,b)].
% 10.13/10.32  1201 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | c_in(c_Finite__Set_OMin(B,A),B,A) | B = c_emptyset # label(cls_Finite__Set_OMin__in_0) # label(axiom).  [assumption].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Finite__Set_OMin(A,tc_IntDef_Oint),A,tc_IntDef_Oint) | A = c_emptyset.  [resolve(1201,a,1175,a)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Finite__Set_OMin(A,tc_nat),A,tc_nat) | A = c_emptyset.  [resolve(1201,a,1176,a)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1201,a,1177,b)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1201,a,1178,b)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1201,a,1179,b)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1201,a,1180,b)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1201,a,1181,b)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1201,a,1182,b)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1201,a,1183,b)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1201,a,1184,b)].
% 10.13/10.32  1202 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | B = c_emptyset | c_Finite__Set_OMin(c_insert(C,B,A),A) = c_Orderings_Omin(C,c_Finite__Set_OMin(B,A),A) # label(cls_Finite__Set_OMin__insert_0) # label(axiom).  [assumption].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(B,A,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omin(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1202,a,1175,a)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(B,A,tc_nat),tc_nat) = c_Orderings_Omin(B,c_Finite__Set_OMin(A,tc_nat),tc_nat).  [resolve(1202,a,1176,a)].
% 10.13/10.32  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1202,a,1177,b)].
% 10.13/10.33  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1202,a,1178,b)].
% 10.13/10.33  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1202,a,1179,b)].
% 10.13/10.33  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1202,a,1180,b)].
% 10.13/10.33  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1202,a,1181,b)].
% 10.13/10.33  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1202,a,1182,b)].
% 10.13/10.33  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1202,a,1183,b)].
% 10.13/10.33  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1202,a,1184,b)].
% 10.13/10.33  1203 -class_Orderings_Olinorder(A) | -c_in(B,C,A) | -c_in(C,c_Finite__Set_OFinites,tc_set(A)) | c_lessequals(c_Finite__Set_OMin(C,A),B,A) | C = c_emptyset # label(cls_Finite__Set_OMin__le_0) # label(axiom).  [assumption].
% 10.13/10.33  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_lessequals(c_Finite__Set_OMin(B,tc_IntDef_Oint),A,tc_IntDef_Oint) | B = c_emptyset.  [resolve(1203,a,1175,a)].
% 10.13/10.33  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_lessequals(c_Finite__Set_OMin(B,tc_nat),A,tc_nat) | B = c_emptyset.  [resolve(1203,a,1176,a)].
% 10.13/10.33  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1203,a,1177,b)].
% 10.13/10.33  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1203,a,1178,b)].
% 10.13/10.33  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1203,a,1179,b)].
% 10.13/10.33  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1203,a,1180,b)].
% 10.13/10.33  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1203,a,1181,b)].
% 10.13/10.33  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1203,a,1182,b)].
% 10.13/10.33  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1203,a,1183,b)].
% 10.13/10.33  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1203,a,1184,b)].
% 10.13/10.33  1204 -class_Orderings_Olinorder(A) | c_Finite__Set_OMin(c_insert(B,c_emptyset,A),A) = B # label(cls_Finite__Set_OMin__singleton_0) # label(axiom).  [assumption].
% 10.13/10.33  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(1204,a,1175,a)].
% 10.13/10.35  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,tc_nat),tc_nat) = A.  [resolve(1204,a,1176,a)].
% 10.13/10.35  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1204,a,1177,b)].
% 10.13/10.35  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1204,a,1178,b)].
% 10.13/10.35  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1204,a,1179,b)].
% 10.13/10.35  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1204,a,1180,b)].
% 10.13/10.35  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1204,a,1181,b)].
% 10.13/10.35  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1204,a,1182,b)].
% 10.13/10.35  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1204,a,1183,b)].
% 10.13/10.35  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1204,a,1184,b)].
% 10.13/10.35  1205 -class_Orderings_Olinorder(A) | -c_in(B,c_Finite__Set_OFinites,tc_set(A)) | c_lessequals(c_Finite__Set_OMin(B,A),c_Finite__Set_OMax(B,A),A) | B = c_emptyset # label(cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_OInf__le__Sup_0) # label(axiom).  [assumption].
% 10.13/10.35  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_lessequals(c_Finite__Set_OMin(A,tc_IntDef_Oint),c_Finite__Set_OMax(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(1205,a,1175,a)].
% 10.13/10.35  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_lessequals(c_Finite__Set_OMin(A,tc_nat),c_Finite__Set_OMax(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(1205,a,1176,a)].
% 10.13/10.35  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1205,a,1177,b)].
% 10.13/10.35  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1205,a,1178,b)].
% 10.13/10.35  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1205,a,1179,b)].
% 10.13/10.35  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1205,a,1180,b)].
% 10.13/10.35  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1205,a,1181,b)].
% 10.13/10.35  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1205,a,1182,b)].
% 10.13/10.35  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1205,a,1183,b)].
% 10.13/10.35  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1205,a,1184,b)].
% 10.13/10.35  1206 -class_Orderings_Olinorder(A) | -c_in(B,C,A) | -c_in(C,c_Finite__Set_OFinites,tc_set(A)) | C = c_emptyset | c_Orderings_Omin(B,c_Finite__Set_OMax(C,A),A) = B # label(cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_Oinf__Sup__absorb_0) # label(axiom).  [assumption].
% 10.13/10.35  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(1206,a,1175,a)].
% 10.13/10.36  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,tc_nat),tc_nat) = A.  [resolve(1206,a,1176,a)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1206,a,1177,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1206,a,1178,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__field(C).  [resolve(1206,a,1179,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1206,a,1180,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1206,a,1181,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1206,a,1182,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1206,a,1183,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1206,a,1184,b)].
% 10.13/10.36  1207 -class_Orderings_Olinorder(A) | -c_in(B,C,A) | -c_in(C,c_Finite__Set_OFinites,tc_set(A)) | C = c_emptyset | c_Orderings_Omax(B,c_Finite__Set_OMin(C,A),A) = B # label(cls_Finite__Set_Omin__max_Obelow__inf__sup__Inf__Sup_Osup__Inf__absorb_0) # label(axiom).  [assumption].
% 10.13/10.36  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(1207,a,1175,a)].
% 10.13/10.36  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,tc_nat),tc_nat) = A.  [resolve(1207,a,1176,a)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1207,a,1177,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1207,a,1178,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__field(C).  [resolve(1207,a,1179,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1207,a,1180,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1207,a,1181,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1207,a,1182,b)].
% 10.13/10.36  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1207,a,1183,b)].
% 10.24/10.39  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1207,a,1184,b)].
% 10.24/10.39  1208 -class_OrderedGroup_Opordered__ab__group__add(A) | -class_Orderings_Olinorder(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) # label(cls_OrderedGroup_Odouble__add__less__zero__iff__single__less__zero_0) # label(axiom).  [assumption].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_less(A,c_0,tc_IntDef_Oint).  [resolve(1208,b,1175,a)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_plus(A,A,tc_nat),c_0,tc_nat) | c_less(A,c_0,tc_nat).  [resolve(1208,b,1176,a)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1208,b,1177,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1208,b,1178,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1208,b,1179,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1208,b,1180,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1208,b,1181,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1208,b,1182,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1208,b,1183,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Wellfounded__Recursion_Owellorder(A).  [resolve(1208,b,1184,b)].
% 10.24/10.39  1209 -class_OrderedGroup_Opordered__ab__group__add(A) | -class_Orderings_Olinorder(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) # label(cls_OrderedGroup_Odouble__add__less__zero__iff__single__less__zero_1) # label(axiom).  [assumption].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(A,c_0,tc_IntDef_Oint) | c_less(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(1209,b,1175,a)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(A,c_0,tc_nat) | c_less(c_plus(A,A,tc_nat),c_0,tc_nat).  [resolve(1209,b,1176,a)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1209,b,1177,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1209,b,1178,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1209,b,1179,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1209,b,1180,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1209,b,1181,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1209,b,1182,b)].
% 10.24/10.39  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1209,b,1183,b)].
% 10.26/10.40  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Wellfounded__Recursion_Owellorder(A).  [resolve(1209,b,1184,b)].
% 10.26/10.40  1210 -class_Orderings_Olinorder(A) | -c_less(c_Orderings_Omax(B,C,A),D,A) | c_less(B,D,A) # label(cls_Orderings_Omax__less__iff__conj_0) # label(axiom).  [assumption].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(1210,a,1175,a)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,tc_nat),C,tc_nat) | c_less(A,C,tc_nat).  [resolve(1210,a,1176,a)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1210,a,1177,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1210,a,1178,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1210,a,1179,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1210,a,1180,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1210,a,1181,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1210,a,1182,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1210,a,1183,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1210,a,1184,b)].
% 10.26/10.40  1211 -class_Orderings_Olinorder(A) | -c_less(c_Orderings_Omax(B,C,A),D,A) | c_less(C,D,A) # label(cls_Orderings_Omax__less__iff__conj_1) # label(axiom).  [assumption].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_less(B,C,tc_IntDef_Oint).  [resolve(1211,a,1175,a)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,tc_nat),C,tc_nat) | c_less(B,C,tc_nat).  [resolve(1211,a,1176,a)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1211,a,1177,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1211,a,1178,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1211,a,1179,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1211,a,1180,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1211,a,1181,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1211,a,1182,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1211,a,1183,b)].
% 10.26/10.40  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1211,a,1184,b)].
% 10.26/10.40  1212 -class_Orderings_Olinorder(A) | -c_less(B,C,A) | -c_less(D,C,A) | c_less(c_Orderings_Omax(D,B,A),C,A) # label(cls_Orderings_Omax__less__iff__conj_2) # label(axiom).  [assumption].
% 10.26/10.40  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_less(C,B,tc_IntDef_Oint) | c_less(c_Orderings_Omax(C,A,tc_IntDef_Oint),B,tc_IntDef_Oint).  [resolve(1212,a,1175,a)].
% 10.26/10.40  Derived: -c_less(A,B,tc_nat) | -c_less(C,B,tc_nat) | c_less(c_Orderings_Omax(C,A,tc_nat),B,tc_nat).  [resolve(1212,a,1176,a)].
% 10.26/10.40  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1212,a,1177,b)].
% 10.26/10.40  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1212,a,1178,b)].
% 10.26/10.42  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1212,a,1179,b)].
% 10.26/10.42  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1212,a,1180,b)].
% 10.26/10.42  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1212,a,1181,b)].
% 10.26/10.42  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1212,a,1182,b)].
% 10.26/10.42  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1212,a,1183,b)].
% 10.26/10.42  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1212,a,1184,b)].
% 10.26/10.42  1213 -class_Orderings_Olinorder(A) | -c_less(B,c_Orderings_Omin(C,D,A),A) | c_less(B,C,A) # label(cls_Orderings_Omin__less__iff__conj_0) # label(axiom).  [assumption].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint).  [resolve(1213,a,1175,a)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_nat),tc_nat) | c_less(A,B,tc_nat).  [resolve(1213,a,1176,a)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(D).  [resolve(1213,a,1177,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1213,a,1178,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(1213,a,1179,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1213,a,1180,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1213,a,1181,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1213,a,1182,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__semiring__strict(D).  [resolve(1213,a,1183,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(1213,a,1184,b)].
% 10.26/10.42  1214 -class_Orderings_Olinorder(A) | -c_less(B,c_Orderings_Omin(C,D,A),A) | c_less(B,D,A) # label(cls_Orderings_Omin__less__iff__conj_1) # label(axiom).  [assumption].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(1214,a,1175,a)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_nat),tc_nat) | c_less(A,C,tc_nat).  [resolve(1214,a,1176,a)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(D).  [resolve(1214,a,1177,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1214,a,1178,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(1214,a,1179,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1214,a,1180,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1214,a,1181,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1214,a,1182,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__semiring__strict(D).  [resolve(1214,a,1183,b)].
% 10.26/10.42  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(1214,a,1184,b)].
% 10.28/10.43  1215 -class_Orderings_Olinorder(A) | -c_less(B,C,A) | -c_less(B,D,A) | c_less(B,c_Orderings_Omin(D,C,A),A) # label(cls_Orderings_Omin__less__iff__conj_2) # label(axiom).  [assumption].
% 10.28/10.43  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_less(A,C,tc_IntDef_Oint) | c_less(A,c_Orderings_Omin(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1215,a,1175,a)].
% 10.28/10.43  Derived: -c_less(A,B,tc_nat) | -c_less(A,C,tc_nat) | c_less(A,c_Orderings_Omin(C,B,tc_nat),tc_nat).  [resolve(1215,a,1176,a)].
% 10.28/10.43  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1215,a,1177,b)].
% 10.28/10.43  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1215,a,1178,b)].
% 10.28/10.43  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1215,a,1179,b)].
% 10.28/10.43  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1215,a,1180,b)].
% 10.28/10.43  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1215,a,1181,b)].
% 10.28/10.43  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1215,a,1182,b)].
% 10.28/10.43  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1215,a,1183,b)].
% 10.28/10.43  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1215,a,1184,b)].
% 10.28/10.43  1216 -class_Orderings_Olinorder(A) | -c_lessequals(B,c_Orderings_Omin(C,D,A),A) | c_lessequals(B,C,A) # label(cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_0) # label(axiom).  [assumption].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(1216,a,1175,a)].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat).  [resolve(1216,a,1176,a)].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(D).  [resolve(1216,a,1177,b)].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1216,a,1178,b)].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(1216,a,1179,b)].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1216,a,1180,b)].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1216,a,1181,b)].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1216,a,1182,b)].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__semiring__strict(D).  [resolve(1216,a,1183,b)].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(1216,a,1184,b)].
% 10.28/10.43  1217 -class_Orderings_Olinorder(A) | -c_lessequals(B,c_Orderings_Omin(C,D,A),A) | c_lessequals(B,D,A) # label(cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_1) # label(axiom).  [assumption].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(1217,a,1175,a)].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_nat),tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(1217,a,1176,a)].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(D).  [resolve(1217,a,1177,b)].
% 10.28/10.43  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1217,a,1178,b)].
% 10.28/10.44  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(1217,a,1179,b)].
% 10.28/10.44  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1217,a,1180,b)].
% 10.28/10.44  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1217,a,1181,b)].
% 10.28/10.44  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1217,a,1182,b)].
% 10.28/10.44  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__semiring__strict(D).  [resolve(1217,a,1183,b)].
% 10.28/10.44  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(1217,a,1184,b)].
% 10.28/10.44  1218 -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | -c_lessequals(B,D,A) | c_lessequals(B,c_Orderings_Omin(D,C,A),A) # label(cls_Orderings_Omin__max_Obelow__inf_Obelow__inf__conv_2) # label(axiom).  [assumption].
% 10.28/10.44  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(A,C,tc_IntDef_Oint) | c_lessequals(A,c_Orderings_Omin(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1218,a,1175,a)].
% 10.28/10.44  Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(A,C,tc_nat) | c_lessequals(A,c_Orderings_Omin(C,B,tc_nat),tc_nat).  [resolve(1218,a,1176,a)].
% 10.28/10.44  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1218,a,1177,b)].
% 10.28/10.44  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1218,a,1178,b)].
% 10.28/10.44  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1218,a,1179,b)].
% 10.28/10.44  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1218,a,1180,b)].
% 10.28/10.44  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1218,a,1181,b)].
% 10.28/10.44  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1218,a,1182,b)].
% 10.28/10.44  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1218,a,1183,b)].
% 10.28/10.44  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1218,a,1184,b)].
% 10.28/10.44  1219 -class_Orderings_Olinorder(A) | c_Orderings_Omin(B,B,A) = B # label(cls_Orderings_Omin__max_Obelow__inf_Oinf__idem_0) # label(axiom).  [assumption].
% 10.28/10.44  Derived: c_Orderings_Omin(A,A,tc_IntDef_Oint) = A.  [resolve(1219,a,1175,a)].
% 10.28/10.44  Derived: c_Orderings_Omin(A,A,tc_nat) = A.  [resolve(1219,a,1176,a)].
% 10.28/10.44  Derived: c_Orderings_Omin(A,A,B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1219,a,1177,b)].
% 10.28/10.44  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1219,a,1178,b)].
% 10.28/10.44  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1219,a,1179,b)].
% 10.28/10.44  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1219,a,1180,b)].
% 10.28/10.44  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1219,a,1181,b)].
% 10.28/10.44  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1219,a,1182,b)].
% 10.28/10.44  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1219,a,1183,b)].
% 10.28/10.45  Derived: c_Orderings_Omin(A,A,B) = A | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1219,a,1184,b)].
% 10.28/10.45  1220 -class_Orderings_Olinorder(A) | c_Orderings_Omin(B,c_Orderings_Omin(B,C,A),A) = c_Orderings_Omin(B,C,A) # label(cls_Orderings_Omin__max_Obelow__inf_Oinf__left__idem_0) # label(axiom).  [assumption].
% 10.28/10.45  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omin(A,B,tc_IntDef_Oint).  [resolve(1220,a,1175,a)].
% 10.28/10.45  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,tc_nat),tc_nat) = c_Orderings_Omin(A,B,tc_nat).  [resolve(1220,a,1176,a)].
% 10.28/10.45  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1220,a,1177,b)].
% 10.28/10.45  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1220,a,1178,b)].
% 10.28/10.45  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1220,a,1179,b)].
% 10.28/10.45  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1220,a,1180,b)].
% 10.28/10.45  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1220,a,1181,b)].
% 10.28/10.45  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1220,a,1182,b)].
% 10.28/10.45  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1220,a,1183,b)].
% 10.28/10.45  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1220,a,1184,b)].
% 10.28/10.45  1221 -class_Orderings_Olinorder(A) | -c_lessequals(c_Orderings_Omax(B,C,A),D,A) | c_lessequals(B,D,A) # label(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0) # label(axiom).  [assumption].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(1221,a,1175,a)].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_nat),C,tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(1221,a,1176,a)].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1221,a,1177,b)].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1221,a,1178,b)].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1221,a,1179,b)].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1221,a,1180,b)].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1221,a,1181,b)].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1221,a,1182,b)].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1221,a,1183,b)].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1221,a,1184,b)].
% 10.28/10.45  1222 -class_Orderings_Olinorder(A) | -c_lessequals(c_Orderings_Omax(B,C,A),D,A) | c_lessequals(C,D,A) # label(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_1) # label(axiom).  [assumption].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(1222,a,1175,a)].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_nat),C,tc_nat) | c_lessequals(B,C,tc_nat).  [resolve(1222,a,1176,a)].
% 10.28/10.45  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1222,a,1177,b)].
% 10.28/10.46  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1222,a,1178,b)].
% 10.28/10.46  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1222,a,1179,b)].
% 10.28/10.46  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1222,a,1180,b)].
% 10.28/10.46  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1222,a,1181,b)].
% 10.28/10.46  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1222,a,1182,b)].
% 10.28/10.46  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1222,a,1183,b)].
% 10.28/10.46  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1222,a,1184,b)].
% 10.28/10.46  1223 -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | -c_lessequals(D,C,A) | c_lessequals(c_Orderings_Omax(D,B,A),C,A) # label(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) # label(axiom).  [assumption].
% 10.28/10.46  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,B,tc_IntDef_Oint) | c_lessequals(c_Orderings_Omax(C,A,tc_IntDef_Oint),B,tc_IntDef_Oint).  [resolve(1223,a,1175,a)].
% 10.28/10.46  Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,B,tc_nat) | c_lessequals(c_Orderings_Omax(C,A,tc_nat),B,tc_nat).  [resolve(1223,a,1176,a)].
% 10.28/10.46  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1223,a,1177,b)].
% 10.28/10.46  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1223,a,1178,b)].
% 10.28/10.46  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1223,a,1179,b)].
% 10.28/10.46  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1223,a,1180,b)].
% 10.28/10.46  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1223,a,1181,b)].
% 10.28/10.46  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1223,a,1182,b)].
% 10.28/10.46  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1223,a,1183,b)].
% 10.28/10.46  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1223,a,1184,b)].
% 10.28/10.46  1224 -class_Orderings_Olinorder(A) | c_Orderings_Omax(B,B,A) = B # label(cls_Orderings_Omin__max_Obelow__sup_Osup__idem_0) # label(axiom).  [assumption].
% 10.28/10.46  Derived: c_Orderings_Omax(A,A,tc_IntDef_Oint) = A.  [resolve(1224,a,1175,a)].
% 10.28/10.46  Derived: c_Orderings_Omax(A,A,tc_nat) = A.  [resolve(1224,a,1176,a)].
% 10.28/10.46  Derived: c_Orderings_Omax(A,A,B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1224,a,1177,b)].
% 10.28/10.46  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1224,a,1178,b)].
% 10.28/10.46  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1224,a,1179,b)].
% 10.28/10.46  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1224,a,1180,b)].
% 10.28/10.46  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1224,a,1181,b)].
% 10.28/10.46  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1224,a,1182,b)].
% 10.28/10.48  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1224,a,1183,b)].
% 10.28/10.48  Derived: c_Orderings_Omax(A,A,B) = A | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1224,a,1184,b)].
% 10.28/10.48  1225 -class_Orderings_Olinorder(A) | c_Orderings_Omax(B,c_Orderings_Omax(B,C,A),A) = c_Orderings_Omax(B,C,A) # label(cls_Orderings_Omin__max_Obelow__sup_Osup__left__idem_0) # label(axiom).  [assumption].
% 10.28/10.48  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omax(A,B,tc_IntDef_Oint).  [resolve(1225,a,1175,a)].
% 10.28/10.48  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,tc_nat),tc_nat) = c_Orderings_Omax(A,B,tc_nat).  [resolve(1225,a,1176,a)].
% 10.28/10.48  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1225,a,1177,b)].
% 10.28/10.48  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1225,a,1178,b)].
% 10.28/10.48  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1225,a,1179,b)].
% 10.28/10.48  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1225,a,1180,b)].
% 10.28/10.48  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1225,a,1181,b)].
% 10.28/10.48  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1225,a,1182,b)].
% 10.28/10.48  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1225,a,1183,b)].
% 10.28/10.48  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1225,a,1184,b)].
% 10.28/10.48  1226 -class_Orderings_Olinorder(A) | c_uminus(c_SetInterval_OatLeast(B,A),tc_set(A)) = c_SetInterval_OlessThan(B,A) # label(cls_SetInterval_OCompl__atLeast_0) # label(axiom).  [assumption].
% 10.28/10.48  Derived: c_uminus(c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OlessThan(A,tc_IntDef_Oint).  [resolve(1226,a,1175,a)].
% 10.28/10.48  Derived: c_uminus(c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)) = c_SetInterval_OlessThan(A,tc_nat).  [resolve(1226,a,1176,a)].
% 10.28/10.48  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1226,a,1177,b)].
% 10.28/10.48  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1226,a,1178,b)].
% 10.28/10.48  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1226,a,1179,b)].
% 10.28/10.48  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1226,a,1180,b)].
% 10.28/10.48  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1226,a,1181,b)].
% 10.28/10.48  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1226,a,1182,b)].
% 10.28/10.48  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1226,a,1183,b)].
% 10.28/10.48  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1226,a,1184,b)].
% 10.28/10.48  1227 -class_Orderings_Olinorder(A) | c_uminus(c_SetInterval_OatMost(B,A),tc_set(A)) = c_SetInterval_OgreaterThan(B,A) # label(cls_SetInterval_OCompl__atMost_0) # label(axiom).  [assumption].
% 10.28/10.48  Derived: c_uminus(c_SetInterval_OatMost(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OgreaterThan(A,tc_IntDef_Oint).  [resolve(1227,a,1175,a)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OatMost(A,tc_nat),tc_set(tc_nat)) = c_SetInterval_OgreaterThan(A,tc_nat).  [resolve(1227,a,1176,a)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1227,a,1177,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1227,a,1178,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1227,a,1179,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1227,a,1180,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1227,a,1181,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1227,a,1182,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1227,a,1183,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1227,a,1184,b)].
% 10.28/10.49  1228 -class_Orderings_Olinorder(A) | c_uminus(c_SetInterval_OgreaterThan(B,A),tc_set(A)) = c_SetInterval_OatMost(B,A) # label(cls_SetInterval_OCompl__greaterThan_0) # label(axiom).  [assumption].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OatMost(A,tc_IntDef_Oint).  [resolve(1228,a,1175,a)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OgreaterThan(A,tc_nat),tc_set(tc_nat)) = c_SetInterval_OatMost(A,tc_nat).  [resolve(1228,a,1176,a)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1228,a,1177,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1228,a,1178,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1228,a,1179,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1228,a,1180,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1228,a,1181,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1228,a,1182,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1228,a,1183,b)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1228,a,1184,b)].
% 10.28/10.49  1229 -class_Orderings_Olinorder(A) | c_uminus(c_SetInterval_OlessThan(B,A),tc_set(A)) = c_SetInterval_OatLeast(B,A) # label(cls_SetInterval_OCompl__lessThan_0) # label(axiom).  [assumption].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OatLeast(A,tc_IntDef_Oint).  [resolve(1229,a,1175,a)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OlessThan(A,tc_nat),tc_set(tc_nat)) = c_SetInterval_OatLeast(A,tc_nat).  [resolve(1229,a,1176,a)].
% 10.28/10.49  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1229,a,1177,b)].
% 10.36/10.50  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1229,a,1178,b)].
% 10.36/10.50  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1229,a,1179,b)].
% 10.36/10.50  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1229,a,1180,b)].
% 10.36/10.50  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1229,a,1181,b)].
% 10.36/10.50  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1229,a,1182,b)].
% 10.36/10.50  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1229,a,1183,b)].
% 10.36/10.50  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1229,a,1184,b)].
% 10.36/10.50  1230 -class_Orderings_Olinorder(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C # label(cls_SetInterval_OatLeast__eq__iff_0) # label(axiom).  [assumption].
% 10.36/10.50  Derived: c_SetInterval_OatLeast(A,tc_IntDef_Oint) != c_SetInterval_OatLeast(B,tc_IntDef_Oint) | A = B.  [resolve(1230,a,1175,a)].
% 10.36/10.50  Derived: c_SetInterval_OatLeast(A,tc_nat) != c_SetInterval_OatLeast(B,tc_nat) | A = B.  [resolve(1230,a,1176,a)].
% 10.36/10.50  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1230,a,1177,b)].
% 10.36/10.50  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1230,a,1178,b)].
% 10.36/10.50  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(1230,a,1179,b)].
% 10.36/10.50  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1230,a,1180,b)].
% 10.36/10.50  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1230,a,1181,b)].
% 10.36/10.50  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1230,a,1182,b)].
% 10.36/10.50  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1230,a,1183,b)].
% 10.36/10.50  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1230,a,1184,b)].
% 10.36/10.50  1231 -class_Orderings_Olinorder(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C # label(cls_SetInterval_OatMost__eq__iff_0) # label(axiom).  [assumption].
% 10.36/10.50  Derived: c_SetInterval_OatMost(A,tc_IntDef_Oint) != c_SetInterval_OatMost(B,tc_IntDef_Oint) | A = B.  [resolve(1231,a,1175,a)].
% 10.36/10.50  Derived: c_SetInterval_OatMost(A,tc_nat) != c_SetInterval_OatMost(B,tc_nat) | A = B.  [resolve(1231,a,1176,a)].
% 10.36/10.50  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1231,a,1177,b)].
% 10.36/10.50  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1231,a,1178,b)].
% 10.36/10.50  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(1231,a,1179,b)].
% 10.36/10.50  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1231,a,1180,b)].
% 10.36/10.50  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1231,a,1181,b)].
% 10.36/10.50  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1231,a,1182,b)].
% 10.36/10.51  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1231,a,1183,b)].
% 10.36/10.51  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1231,a,1184,b)].
% 10.36/10.51  1232 -class_Orderings_Olinorder(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C # label(cls_SetInterval_OgreaterThan__eq__iff_0) # label(axiom).  [assumption].
% 10.36/10.51  Derived: c_SetInterval_OgreaterThan(A,tc_IntDef_Oint) != c_SetInterval_OgreaterThan(B,tc_IntDef_Oint) | A = B.  [resolve(1232,a,1175,a)].
% 10.36/10.51  Derived: c_SetInterval_OgreaterThan(A,tc_nat) != c_SetInterval_OgreaterThan(B,tc_nat) | A = B.  [resolve(1232,a,1176,a)].
% 10.36/10.51  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1232,a,1177,b)].
% 10.36/10.51  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1232,a,1178,b)].
% 10.36/10.51  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(1232,a,1179,b)].
% 10.36/10.51  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1232,a,1180,b)].
% 10.36/10.51  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1232,a,1181,b)].
% 10.36/10.51  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1232,a,1182,b)].
% 10.36/10.51  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1232,a,1183,b)].
% 10.36/10.51  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1232,a,1184,b)].
% 10.36/10.51  1233 -class_Orderings_Olinorder(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A) # label(cls_SetInterval_OgreaterThan__subset__iff_0) # label(axiom).  [assumption].
% 10.36/10.51  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1233,a,1175,a)].
% 10.36/10.51  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_nat),c_SetInterval_OgreaterThan(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat).  [resolve(1233,a,1176,a)].
% 10.36/10.51  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1233,a,1177,b)].
% 10.36/10.51  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1233,a,1178,b)].
% 10.36/10.51  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1233,a,1179,b)].
% 10.36/10.51  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1233,a,1180,b)].
% 10.36/10.51  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1233,a,1181,b)].
% 10.36/10.51  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1233,a,1182,b)].
% 10.36/10.51  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1233,a,1183,b)].
% 10.36/10.52  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1233,a,1184,b)].
% 10.36/10.52  1234 -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)) # label(cls_SetInterval_OgreaterThan__subset__iff_1) # label(axiom).  [assumption].
% 10.36/10.52  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1234,a,1175,a)].
% 10.36/10.52  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_nat),c_SetInterval_OgreaterThan(A,tc_nat),tc_set(tc_nat)).  [resolve(1234,a,1176,a)].
% 10.36/10.52  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1234,a,1177,b)].
% 10.36/10.52  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1234,a,1178,b)].
% 10.36/10.52  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1234,a,1179,b)].
% 10.36/10.52  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1234,a,1180,b)].
% 10.36/10.52  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1234,a,1181,b)].
% 10.36/10.52  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1234,a,1182,b)].
% 10.36/10.52  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1234,a,1183,b)].
% 10.36/10.52  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1234,a,1184,b)].
% 10.36/10.52  1235 -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | c_minus(c_SetInterval_OatLeastLessThan(B,D,A),c_SetInterval_OatLeastLessThan(B,C,A),tc_set(A)) = c_SetInterval_OatLeastLessThan(C,D,A) # label(cls_SetInterval_Oivl__diff_0) # label(axiom).  [assumption].
% 10.36/10.52  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_minus(c_SetInterval_OatLeastLessThan(A,C,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(A,B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OatLeastLessThan(B,C,tc_IntDef_Oint).  [resolve(1235,a,1175,a)].
% 10.36/10.52  Derived: -c_lessequals(A,B,tc_nat) | c_minus(c_SetInterval_OatLeastLessThan(A,C,tc_nat),c_SetInterval_OatLeastLessThan(A,B,tc_nat),tc_set(tc_nat)) = c_SetInterval_OatLeastLessThan(B,C,tc_nat).  [resolve(1235,a,1176,a)].
% 10.36/10.52  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1235,a,1177,b)].
% 10.36/10.52  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1235,a,1178,b)].
% 10.36/10.52  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1235,a,1179,b)].
% 10.36/10.52  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1235,a,1180,b)].
% 10.36/10.53  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1235,a,1181,b)].
% 10.36/10.53  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1235,a,1182,b)].
% 10.36/10.53  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1235,a,1183,b)].
% 10.36/10.53  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1235,a,1184,b)].
% 10.36/10.53  1236 -class_Orderings_Olinorder(A) | -c_lessequals(c_SetInterval_OatLeastLessThan(B,C,A),c_SetInterval_OatLeastLessThan(D,E,A),tc_set(A)) | c_lessequals(D,B,A) | c_lessequals(C,B,A) # label(cls_SetInterval_Oivl__subset_0) # label(axiom).  [assumption].
% 10.36/10.53  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,D,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1236,a,1175,a)].
% 10.36/10.53  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_nat),c_SetInterval_OatLeastLessThan(C,D,tc_nat),tc_set(tc_nat)) | c_lessequals(C,A,tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(1236,a,1176,a)].
% 10.36/10.53  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1236,a,1177,b)].
% 10.36/10.53  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1236,a,1178,b)].
% 10.36/10.53  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1236,a,1179,b)].
% 10.36/10.53  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1236,a,1180,b)].
% 10.36/10.53  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1236,a,1181,b)].
% 10.36/10.53  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1236,a,1182,b)].
% 10.36/10.53  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1236,a,1183,b)].
% 10.36/10.53  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1236,a,1184,b)].
% 10.36/10.53  1237 -class_Orderings_Olinorder(A) | -c_lessequals(c_SetInterval_OatLeastLessThan(B,C,A),c_SetInterval_OatLeastLessThan(D,E,A),tc_set(A)) | c_lessequals(C,E,A) | c_lessequals(C,B,A) # label(cls_SetInterval_Oivl__subset_1) # label(axiom).  [assumption].
% 10.36/10.53  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,D,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,D,tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1237,a,1175,a)].
% 10.36/10.54  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_nat),c_SetInterval_OatLeastLessThan(C,D,tc_nat),tc_set(tc_nat)) | c_lessequals(B,D,tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(1237,a,1176,a)].
% 10.36/10.54  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1237,a,1177,b)].
% 10.36/10.54  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1237,a,1178,b)].
% 10.36/10.54  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1237,a,1179,b)].
% 10.36/10.54  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1237,a,1180,b)].
% 10.36/10.54  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1237,a,1181,b)].
% 10.36/10.54  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1237,a,1182,b)].
% 10.36/10.54  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1237,a,1183,b)].
% 10.36/10.54  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1237,a,1184,b)].
% 10.36/10.54  1238 -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeastLessThan(C,B,A),c_SetInterval_OatLeastLessThan(D,E,A),tc_set(A)) # label(cls_SetInterval_Oivl__subset_2) # label(axiom).  [assumption].
% 10.36/10.54  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,D,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1238,a,1175,a)].
% 10.36/10.54  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,tc_nat),c_SetInterval_OatLeastLessThan(C,D,tc_nat),tc_set(tc_nat)).  [resolve(1238,a,1176,a)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1238,a,1177,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1238,a,1178,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1238,a,1179,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1238,a,1180,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1238,a,1181,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1238,a,1182,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1238,a,1183,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1238,a,1184,b)].
% 10.36/10.54  1239 -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | -c_lessequals(D,E,A) | c_lessequals(c_SetInterval_OatLeastLessThan(E,B,A),c_SetInterval_OatLeastLessThan(D,C,A),tc_set(A)) # label(cls_SetInterval_Oivl__subset_3) # label(axiom).  [assumption].
% 10.36/10.54  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,D,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeastLessThan(D,A,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1239,a,1175,a)].
% 10.36/10.54  Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,D,tc_nat) | c_lessequals(c_SetInterval_OatLeastLessThan(D,A,tc_nat),c_SetInterval_OatLeastLessThan(C,B,tc_nat),tc_set(tc_nat)).  [resolve(1239,a,1176,a)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1239,a,1177,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1239,a,1178,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1239,a,1179,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1239,a,1180,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1239,a,1181,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1239,a,1182,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1239,a,1183,b)].
% 10.36/10.54  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1239,a,1184,b)].
% 10.36/10.54  1240 -class_Orderings_Olinorder(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C # label(cls_SetInterval_OlessThan__eq__iff_0) # label(axiom).  [assumption].
% 10.36/10.54  Derived: c_SetInterval_OlessThan(A,tc_IntDef_Oint) != c_SetInterval_OlessThan(B,tc_IntDef_Oint) | A = B.  [resolve(1240,a,1175,a)].
% 10.36/10.54  Derived: c_SetInterval_OlessThan(A,tc_nat) != c_SetInterval_OlessThan(B,tc_nat) | A = B.  [resolve(1240,a,1176,a)].
% 10.36/10.54  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1240,a,1177,b)].
% 10.36/10.54  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1240,a,1178,b)].
% 10.36/10.54  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(1240,a,1179,b)].
% 10.36/10.54  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1240,a,1180,b)].
% 10.36/10.54  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1240,a,1181,b)].
% 10.36/10.55  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1240,a,1182,b)].
% 10.36/10.55  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1240,a,1183,b)].
% 10.36/10.55  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1240,a,1184,b)].
% 10.36/10.55  1241 -class_Orderings_Olinorder(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A) # label(cls_SetInterval_OlessThan__subset__iff_0) # label(axiom).  [assumption].
% 10.36/10.55  Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(1241,a,1175,a)].
% 10.36/10.55  Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_nat),c_SetInterval_OlessThan(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat).  [resolve(1241,a,1176,a)].
% 10.36/10.55  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1241,a,1177,b)].
% 10.36/10.55  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1241,a,1178,b)].
% 10.36/10.55  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1241,a,1179,b)].
% 10.36/10.55  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1241,a,1180,b)].
% 10.36/10.55  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1241,a,1181,b)].
% 10.36/10.55  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1241,a,1182,b)].
% 10.36/10.55  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1241,a,1183,b)].
% 10.36/10.55  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1241,a,1184,b)].
% 10.36/10.55  1242 -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) # label(cls_SetInterval_OlessThan__subset__iff_1) # label(axiom).  [assumption].
% 10.36/10.55  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1242,a,1175,a)].
% 10.36/10.55  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OlessThan(A,tc_nat),c_SetInterval_OlessThan(B,tc_nat),tc_set(tc_nat)).  [resolve(1242,a,1176,a)].
% 10.36/10.55  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1242,a,1177,b)].
% 10.36/10.55  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1242,a,1178,b)].
% 10.36/10.55  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1242,a,1179,b)].
% 10.36/10.55  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1242,a,1180,b)].
% 10.36/10.55  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1242,a,1181,b)].
% 10.60/10.76  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1242,a,1182,b)].
% 10.60/10.76  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1242,a,1183,b)].
% 10.60/10.76  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1242,a,1184,b)].
% 10.60/10.76  1243 -class_Orderings_Olinorder(A) | c_lessequals(B,B,A).  [resolve(17,b,2,a)].
% 10.60/10.76  1244 class_Orderings_Oord(A) | -class_Orderings_Olinorder(A).  [resolve(18,a,17,b)].
% 10.60/10.76  1245 -c_less(A,A,B) | -class_Orderings_Olinorder(B).  [resolve(33,a,17,b)].
% 10.60/10.76  1246 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Orderings_Olinorder(C).  [resolve(34,a,17,b)].
% 10.60/10.76  1247 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Orderings_Olinorder(B).  [resolve(35,a,17,b)].
% 10.60/10.76  1248 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Orderings_Olinorder(C).  [resolve(36,a,17,b)].
% 10.60/10.76  1249 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Orderings_Olinorder(B).  [resolve(37,a,17,b)].
% 10.60/10.76  1250 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Orderings_Olinorder(C).  [resolve(38,a,17,b)].
% 10.60/10.76  1251 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Orderings_Olinorder(B).  [resolve(39,a,17,b)].
% 10.60/10.76  1252 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Orderings_Olinorder(C).  [resolve(40,a,17,b)].
% 10.60/10.76  1253 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Orderings_Olinorder(C).  [resolve(41,a,17,b)].
% 10.60/10.76  1254 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Orderings_Olinorder(B).  [resolve(42,a,17,b)].
% 10.60/10.76  1255 c_LOrder_Omeet(A,A,B) = A | -class_Orderings_Olinorder(B).  [resolve(1087,a,1078,b)].
% 10.60/10.76  Derived: c_LOrder_Omeet(A,A,B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1255,b,1177,b)].
% 10.60/10.76  1256 c_LOrder_Ojoin(A,A,B) = A | -class_Orderings_Olinorder(B).  [resolve(1118,a,1109,b)].
% 10.60/10.76  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1256,b,1177,b)].
% 10.60/10.76  1257 c_lessequals(A,A,B) | -class_Orderings_Olinorder(B).  [resolve(1161,b,1139,b)].
% 10.60/10.76  Derived: c_lessequals(A,A,tc_IntDef_Oint).  [resolve(1257,b,1175,a)].
% 10.60/10.76  Derived: c_lessequals(A,A,tc_nat).  [resolve(1257,b,1176,a)].
% 10.60/10.76  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1257,b,1177,b)].
% 10.60/10.76  1258 class_Orderings_Oord(A) | -class_Orderings_Olinorder(A).  [resolve(1162,b,1139,b)].
% 10.60/10.76  Derived: class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1258,b,1175,a)].
% 10.60/10.76  Derived: class_Orderings_Oord(tc_nat).  [resolve(1258,b,1176,a)].
% 10.60/10.76  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1258,b,1177,b)].
% 10.60/10.76  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1258,b,1178,b)].
% 10.60/10.76  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1258,b,1179,b)].
% 10.60/10.76  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1258,b,1180,b)].
% 10.60/10.76  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1258,b,1181,b)].
% 10.60/10.76  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1258,b,1182,b)].
% 10.60/10.76  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1258,b,1183,b)].
% 10.60/10.76  1259 -c_less(A,A,B) | -class_Orderings_Olinorder(B).  [resolve(1163,b,1139,b)].
% 10.60/10.77  Derived: -c_less(A,A,tc_IntDef_Oint).  [resolve(1259,b,1175,a)].
% 10.60/10.77  Derived: -c_less(A,A,tc_nat).  [resolve(1259,b,1176,a)].
% 10.60/10.77  Derived: -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1259,b,1177,b)].
% 10.60/10.77  1260 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Orderings_Olinorder(C).  [resolve(1164,c,1139,b)].
% 10.60/10.77  Derived: -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1260,c,1175,a)].
% 10.60/10.77  Derived: -c_less(A,B,tc_nat) | c_SetInterval_OatLeastAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1260,c,1176,a)].
% 10.60/10.77  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1260,c,1177,b)].
% 10.60/10.77  1261 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Orderings_Olinorder(B).  [resolve(1165,b,1139,b)].
% 10.60/10.77  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_IntDef_Oint) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1261,b,1175,a)].
% 10.60/10.77  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_nat) = c_insert(A,c_emptyset,tc_nat).  [resolve(1261,b,1176,a)].
% 10.60/10.77  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1261,b,1177,b)].
% 10.60/10.77  1262 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Orderings_Olinorder(C).  [resolve(1166,c,1139,b)].
% 10.60/10.77  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1262,c,1175,a)].
% 10.60/10.77  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OatLeastLessThan(B,A,tc_nat) = c_emptyset.  [resolve(1262,c,1176,a)].
% 10.60/10.77  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1262,c,1177,b)].
% 10.60/10.77  1263 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Orderings_Olinorder(B).  [resolve(1167,c,1139,b)].
% 10.60/10.77  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1263,c,1175,a)].
% 10.60/10.77  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat).  [resolve(1263,c,1176,a)].
% 10.60/10.77  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1263,c,1177,b)].
% 10.60/10.77  1264 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Orderings_Olinorder(C).  [resolve(1168,c,1139,b)].
% 10.60/10.77  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1264,c,1175,a)].
% 10.60/10.77  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)).  [resolve(1264,c,1176,a)].
% 10.60/10.77  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1264,c,1177,b)].
% 10.60/10.77  1265 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Orderings_Olinorder(B).  [resolve(1169,c,1139,b)].
% 10.60/10.77  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(1265,c,1175,a)].
% 10.60/10.77  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat).  [resolve(1265,c,1176,a)].
% 10.60/10.77  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1265,c,1177,b)].
% 10.60/10.77  1266 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Orderings_Olinorder(C).  [resolve(1170,c,1139,b)].
% 10.84/10.96  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1266,c,1175,a)].
% 10.84/10.96  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)).  [resolve(1266,c,1176,a)].
% 10.84/10.96  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1266,c,1177,b)].
% 10.84/10.96  1267 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Orderings_Olinorder(C).  [resolve(1171,c,1139,b)].
% 10.84/10.96  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OgreaterThanAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1267,c,1175,a)].
% 10.84/10.96  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OgreaterThanAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1267,c,1176,a)].
% 10.84/10.96  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1267,c,1177,b)].
% 10.84/10.96  1268 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Orderings_Olinorder(B).  [resolve(1172,b,1139,b)].
% 10.84/10.96  Derived: c_minus(c_insert(A,c_emptyset,tc_IntDef_Oint),c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1268,b,1175,a)].
% 10.84/10.96  Derived: c_minus(c_insert(A,c_emptyset,tc_nat),c_SetInterval_OlessThan(A,tc_nat),tc_set(tc_nat)) = c_insert(A,c_emptyset,tc_nat).  [resolve(1268,b,1176,a)].
% 10.84/10.96  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1268,b,1177,b)].
% 10.84/10.96  1269 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) # label(axiom).  [assumption].
% 10.84/10.96  1270 class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_36) # label(axiom).  [assumption].
% 10.84/10.96  1271 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) # label(clsarity_nat_33) # label(axiom).  [assumption].
% 10.84/10.96  1272 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_7) # label(axiom).  [assumption].
% 10.84/10.96  1273 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_8) # label(axiom).  [assumption].
% 10.84/10.96  1274 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_7) # label(axiom).  [assumption].
% 10.84/10.96  1275 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_7) # label(axiom).  [assumption].
% 10.84/10.96  1276 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) # label(axiom).  [assumption].
% 10.84/10.96  1277 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_9) # label(axiom).  [assumption].
% 10.84/10.96  1278 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add_2) # label(axiom).  [assumption].
% 10.84/10.96  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1278,a,1276,b)].
% 10.84/10.96  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(1278,a,1277,b)].
% 10.84/10.96  1279 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add_3) # label(axiom).  [assumption].
% 10.91/11.03  1280 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) # label(axiom).  [assumption].
% 10.91/11.03  1281 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) # label(axiom).  [assumption].
% 10.91/11.03  1282 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_9) # label(axiom).  [assumption].
% 10.91/11.03  1283 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) # label(axiom).  [assumption].
% 10.91/11.03  1284 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__field_57) # label(axiom).  [assumption].
% 10.91/11.03  1285 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_43) # label(axiom).  [assumption].
% 10.91/11.03  1286 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_25) # label(axiom).  [assumption].
% 10.91/11.03  1287 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_37) # label(axiom).  [assumption].
% 10.91/11.03  1288 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_16) # label(axiom).  [assumption].
% 10.91/11.03  1289 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) # label(axiom).  [assumption].
% 10.91/11.03  1290 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_7) # label(axiom).  [assumption].
% 10.91/11.03  Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Orderings_Oord(A).  [resolve(1290,b,1269,a)].
% 10.91/11.03  1291 -class_Ring__and__Field_Opordered__comm__ring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_22) # label(axiom).  [assumption].
% 10.91/11.03  1292 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_12) # label(axiom).  [assumption].
% 10.91/11.03  1293 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_16) # label(axiom).  [assumption].
% 10.91/11.03  1294 -class_Ring__and__Field_Opordered__semiring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__semiring_9) # label(axiom).  [assumption].
% 10.91/11.03  Derived: -class_Ring__and__Field_Opordered__semiring(A) | class_Orderings_Oord(A).  [resolve(1294,b,1269,a)].
% 10.91/11.03  1295 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | c_lessequals(B,B,A).  [resolve(14,b,2,a)].
% 10.91/11.03  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(1295,a,1277,b)].
% 10.91/11.03  1296 class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__semigroup__add(A).  [resolve(18,a,14,b)].
% 10.91/11.03  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(1296,b,1277,b)].
% 10.91/11.03  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1296,b,1289,b)].
% 10.91/11.03  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(1296,b,1291,b)].
% 10.91/11.03  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(1296,b,1292,b)].
% 11.24/11.40  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1296,b,1293,b)].
% 11.24/11.40  1297 -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add(B).  [resolve(33,a,14,b)].
% 11.24/11.40  Derived: -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(1297,b,1277,b)].
% 11.24/11.40  1298 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add(C).  [resolve(34,a,14,b)].
% 11.24/11.40  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1298,c,1277,b)].
% 11.24/11.40  1299 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__semigroup__add(B).  [resolve(35,a,14,b)].
% 11.24/11.40  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(1299,b,1277,b)].
% 11.24/11.40  1300 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add(C).  [resolve(36,a,14,b)].
% 11.24/11.40  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1300,c,1277,b)].
% 11.24/11.40  1301 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add(B).  [resolve(37,a,14,b)].
% 11.24/11.40  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(1301,c,1277,b)].
% 11.24/11.40  1302 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add(C).  [resolve(38,a,14,b)].
% 11.24/11.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1302,c,1277,b)].
% 11.24/11.40  1303 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__semigroup__add(B).  [resolve(39,a,14,b)].
% 11.24/11.40  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(1303,c,1277,b)].
% 11.24/11.40  1304 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add(C).  [resolve(40,a,14,b)].
% 11.24/11.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1304,c,1277,b)].
% 11.24/11.40  1305 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add(C).  [resolve(41,a,14,b)].
% 11.24/11.40  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1305,c,1277,b)].
% 11.24/11.40  1306 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__semigroup__add(B).  [resolve(42,a,14,b)].
% 11.24/11.40  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(1306,b,1277,b)].
% 11.24/11.40  1307 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) # label(axiom).  [assumption].
% 11.24/11.40  1308 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_37) # label(axiom).  [assumption].
% 11.24/11.40  1309 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) # label(clsarity_nat_34) # label(axiom).  [assumption].
% 11.24/11.40  1310 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_6) # label(axiom).  [assumption].
% 11.35/11.47  1311 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_7) # label(axiom).  [assumption].
% 11.35/11.47  1312 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_6) # label(axiom).  [assumption].
% 11.35/11.47  1313 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_6) # label(axiom).  [assumption].
% 11.35/11.47  1314 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) # label(axiom).  [assumption].
% 11.35/11.47  1315 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_13) # label(axiom).  [assumption].
% 11.35/11.47  1316 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) # label(axiom).  [assumption].
% 11.35/11.47  1317 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_3) # label(axiom).  [assumption].
% 11.35/11.47  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A).  [resolve(1317,a,1316,b)].
% 11.35/11.47  1318 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_4) # label(axiom).  [assumption].
% 11.35/11.47  1319 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_6) # label(axiom).  [assumption].
% 11.35/11.47  1320 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) # label(axiom).  [assumption].
% 11.35/11.47  1321 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__field_56) # label(axiom).  [assumption].
% 11.35/11.47  1322 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_38) # label(axiom).  [assumption].
% 11.35/11.47  1323 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_22) # label(axiom).  [assumption].
% 11.35/11.47  1324 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_32) # label(axiom).  [assumption].
% 11.35/11.47  1325 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_15) # label(axiom).  [assumption].
% 11.35/11.47  1326 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_21) # label(axiom).  [assumption].
% 11.35/11.47  1327 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | c_lessequals(B,B,A).  [resolve(16,b,2,a)].
% 11.35/11.47  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(1327,a,1316,b)].
% 11.35/11.47  1328 class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A).  [resolve(18,a,16,b)].
% 11.35/11.47  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A).  [resolve(1328,b,1316,b)].
% 11.35/11.47  1329 -c_less(A,A,B) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(B).  [resolve(33,a,16,b)].
% 11.44/11.55  Derived: -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(1329,b,1316,b)].
% 11.44/11.55  1330 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(34,a,16,b)].
% 11.44/11.55  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1330,c,1316,b)].
% 11.44/11.55  1331 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(B).  [resolve(35,a,16,b)].
% 11.44/11.55  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(1331,b,1316,b)].
% 11.44/11.55  1332 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(36,a,16,b)].
% 11.44/11.55  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1332,c,1316,b)].
% 11.44/11.55  1333 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(B).  [resolve(37,a,16,b)].
% 11.44/11.55  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(1333,c,1316,b)].
% 11.44/11.55  1334 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(38,a,16,b)].
% 11.44/11.55  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1334,c,1316,b)].
% 11.44/11.55  1335 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(B).  [resolve(39,a,16,b)].
% 11.44/11.55  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(1335,c,1316,b)].
% 11.44/11.55  1336 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(40,a,16,b)].
% 11.44/11.55  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1336,c,1316,b)].
% 11.44/11.55  1337 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(41,a,16,b)].
% 11.44/11.55  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1337,c,1316,b)].
% 11.44/11.55  1338 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(B).  [resolve(42,a,16,b)].
% 11.44/11.55  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(1338,b,1316,b)].
% 11.44/11.55  1339 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A).  [resolve(284,b,270,a)].
% 11.44/11.55  1340 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(307,a,284,b)].
% 11.44/11.55  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1340,c,1310,b)].
% 11.44/11.55  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1340,c,1311,b)].
% 11.44/11.55  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1340,c,1312,b)].
% 11.75/11.87  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1340,c,1313,b)].
% 11.75/11.87  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1340,c,1314,b)].
% 11.75/11.87  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1340,c,1315,b)].
% 11.75/11.87  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1340,c,1316,b)].
% 11.75/11.87  1341 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C).  [resolve(308,a,284,b)].
% 11.75/11.87  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1341,c,1310,b)].
% 11.75/11.87  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1341,c,1311,b)].
% 11.75/11.87  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1341,c,1312,b)].
% 11.75/11.87  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1341,c,1313,b)].
% 11.75/11.87  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1341,c,1314,b)].
% 11.75/11.87  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1341,c,1315,b)].
% 11.75/11.87  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1341,c,1316,b)].
% 11.75/11.87  1342 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Oab__semigroup__add(A).  [resolve(323,b,309,a)].
% 11.75/11.87  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(1342,a,1310,b)].
% 11.75/11.87  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(1342,a,1311,b)].
% 11.75/11.87  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(1342,a,1312,b)].
% 11.75/11.87  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(1342,a,1313,b)].
% 11.75/11.87  1343 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) # label(axiom).  [assumption].
% 11.75/11.87  1344 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_38) # label(axiom).  [assumption].
% 11.75/11.87  1345 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) # label(clsarity_nat_35) # label(axiom).  [assumption].
% 11.75/11.87  1346 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_OrderedGroup_Olordered__ab__group_5) # label(axiom).  [assumption].
% 11.75/11.87  1347 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_6) # label(axiom).  [assumption].
% 11.75/11.87  1348 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_5) # label(axiom).  [assumption].
% 11.75/11.87  1349 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_5) # label(axiom).  [assumption].
% 11.75/11.87  1350 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) # label(axiom).  [assumption].
% 11.75/11.87  1351 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_12) # label(axiom).  [assumption].
% 11.75/11.87  1352 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_5) # label(axiom).  [assumption].
% 11.79/11.91  1353 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_7) # label(axiom).  [assumption].
% 11.79/11.91  1354 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Olordered__ring_5) # label(axiom).  [assumption].
% 11.79/11.91  1355 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) # label(axiom).  [assumption].
% 11.79/11.91  1356 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__field_55) # label(axiom).  [assumption].
% 11.79/11.91  1357 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__idom_37) # label(axiom).  [assumption].
% 11.79/11.91  1358 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_21) # label(axiom).  [assumption].
% 11.79/11.91  1359 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__semidom_31) # label(axiom).  [assumption].
% 11.79/11.91  1360 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_14) # label(axiom).  [assumption].
% 11.79/11.91  1361 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Opordered__ring_20) # label(axiom).  [assumption].
% 11.79/11.91  1362 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(c_plus(B,C,A),c_plus(B,D,A),A) | c_lessequals(C,D,A) # label(cls_OrderedGroup_Oadd__le__cancel__left_0) # label(axiom).  [assumption].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,tc_IntDef_Oint),c_plus(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(1362,a,1344,a)].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,tc_nat),c_plus(A,C,tc_nat),tc_nat) | c_lessequals(B,C,tc_nat).  [resolve(1362,a,1345,a)].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1362,a,1346,b)].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1362,a,1347,b)].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1362,a,1348,b)].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1362,a,1349,b)].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1362,a,1350,b)].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1362,a,1351,b)].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1362,a,1354,b)].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1362,a,1355,b)].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1362,a,1356,b)].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1362,a,1357,b)].
% 11.79/11.91  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1362,a,1358,b)].
% 11.79/11.92  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1362,a,1359,b)].
% 11.79/11.92  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1362,a,1360,b)].
% 11.79/11.92  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1362,a,1361,b)].
% 11.79/11.92  1363 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(B,C,A) | c_lessequals(c_plus(D,B,A),c_plus(D,C,A),A) # label(cls_OrderedGroup_Oadd__le__cancel__left_1) # label(axiom).  [assumption].
% 11.79/11.92  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_plus(C,A,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1363,a,1344,a)].
% 11.79/11.92  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_plus(C,A,tc_nat),c_plus(C,B,tc_nat),tc_nat).  [resolve(1363,a,1345,a)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1363,a,1346,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1363,a,1347,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1363,a,1348,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1363,a,1349,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1363,a,1350,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1363,a,1351,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1363,a,1354,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1363,a,1355,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1363,a,1356,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1363,a,1357,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1363,a,1358,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1363,a,1359,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1363,a,1360,b)].
% 11.79/11.92  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1363,a,1361,b)].
% 11.79/11.92  1364 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(c_plus(B,C,A),c_plus(D,C,A),A) | c_lessequals(B,D,A) # label(cls_OrderedGroup_Oadd__le__cancel__right_0) # label(axiom).  [assumption].
% 11.79/11.92  Derived: -c_lessequals(c_plus(A,B,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(1364,a,1344,a)].
% 11.79/11.92  Derived: -c_lessequals(c_plus(A,B,tc_nat),c_plus(C,B,tc_nat),tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(1364,a,1345,a)].
% 11.79/11.92  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1364,a,1346,b)].
% 11.79/11.92  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1364,a,1347,b)].
% 11.79/11.92  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1364,a,1348,b)].
% 11.79/11.92  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1364,a,1349,b)].
% 11.79/11.93  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1364,a,1350,b)].
% 11.79/11.93  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1364,a,1351,b)].
% 11.79/11.93  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1364,a,1354,b)].
% 11.79/11.93  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1364,a,1355,b)].
% 11.79/11.93  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1364,a,1356,b)].
% 11.79/11.93  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1364,a,1357,b)].
% 11.79/11.93  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1364,a,1358,b)].
% 11.79/11.93  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1364,a,1359,b)].
% 11.79/11.93  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1364,a,1360,b)].
% 11.79/11.93  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1364,a,1361,b)].
% 11.79/11.93  1365 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(B,C,A) | c_lessequals(c_plus(B,D,A),c_plus(C,D,A),A) # label(cls_OrderedGroup_Oadd__le__cancel__right_1) # label(axiom).  [assumption].
% 11.79/11.93  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_plus(A,C,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1365,a,1344,a)].
% 11.79/11.93  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_plus(A,C,tc_nat),c_plus(B,C,tc_nat),tc_nat).  [resolve(1365,a,1345,a)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1365,a,1346,b)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1365,a,1347,b)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1365,a,1348,b)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1365,a,1349,b)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1365,a,1350,b)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1365,a,1351,b)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1365,a,1354,b)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1365,a,1355,b)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1365,a,1356,b)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1365,a,1357,b)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1365,a,1358,b)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1365,a,1359,b)].
% 11.79/11.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1365,a,1360,b)].
% 11.84/11.95  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1365,a,1361,b)].
% 11.84/11.95  1366 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_less(c_plus(B,C,A),c_plus(B,D,A),A) | c_less(C,D,A) # label(cls_OrderedGroup_Oadd__less__cancel__left_0) # label(axiom).  [assumption].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,tc_IntDef_Oint),c_plus(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,C,tc_IntDef_Oint).  [resolve(1366,a,1344,a)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,tc_nat),c_plus(A,C,tc_nat),tc_nat) | c_less(B,C,tc_nat).  [resolve(1366,a,1345,a)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1366,a,1346,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1366,a,1347,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1366,a,1348,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1366,a,1349,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1366,a,1350,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1366,a,1351,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1366,a,1354,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1366,a,1355,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1366,a,1356,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1366,a,1357,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1366,a,1358,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1366,a,1359,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1366,a,1360,b)].
% 11.84/11.95  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1366,a,1361,b)].
% 11.84/11.95  1367 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_less(B,C,A) | c_less(c_plus(D,B,A),c_plus(D,C,A),A) # label(cls_OrderedGroup_Oadd__less__cancel__left_1) # label(axiom).  [assumption].
% 11.84/11.95  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_plus(C,A,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1367,a,1344,a)].
% 11.84/11.95  Derived: -c_less(A,B,tc_nat) | c_less(c_plus(C,A,tc_nat),c_plus(C,B,tc_nat),tc_nat).  [resolve(1367,a,1345,a)].
% 11.84/11.95  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1367,a,1346,b)].
% 11.84/11.95  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1367,a,1347,b)].
% 11.84/11.95  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1367,a,1348,b)].
% 11.84/11.95  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1367,a,1349,b)].
% 11.84/11.95  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1367,a,1350,b)].
% 11.84/11.95  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1367,a,1351,b)].
% 11.84/11.95  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1367,a,1354,b)].
% 11.84/11.96  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1367,a,1355,b)].
% 11.84/11.96  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1367,a,1356,b)].
% 11.84/11.96  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1367,a,1357,b)].
% 11.84/11.96  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1367,a,1358,b)].
% 11.84/11.96  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1367,a,1359,b)].
% 11.84/11.96  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1367,a,1360,b)].
% 11.84/11.96  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1367,a,1361,b)].
% 11.84/11.96  1368 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_less(c_plus(B,C,A),c_plus(D,C,A),A) | c_less(B,D,A) # label(cls_OrderedGroup_Oadd__less__cancel__right_0) # label(axiom).  [assumption].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(1368,a,1344,a)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,tc_nat),c_plus(C,B,tc_nat),tc_nat) | c_less(A,C,tc_nat).  [resolve(1368,a,1345,a)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1368,a,1346,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1368,a,1347,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1368,a,1348,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1368,a,1349,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1368,a,1350,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1368,a,1351,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1368,a,1354,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1368,a,1355,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1368,a,1356,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1368,a,1357,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1368,a,1358,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1368,a,1359,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1368,a,1360,b)].
% 11.84/11.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1368,a,1361,b)].
% 11.84/11.96  1369 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_less(B,C,A) | c_less(c_plus(B,D,A),c_plus(C,D,A),A) # label(cls_OrderedGroup_Oadd__less__cancel__right_1) # label(axiom).  [assumption].
% 11.84/11.96  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_plus(A,C,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1369,a,1344,a)].
% 11.84/11.96  Derived: -c_less(A,B,tc_nat) | c_less(c_plus(A,C,tc_nat),c_plus(B,C,tc_nat),tc_nat).  [resolve(1369,a,1345,a)].
% 11.84/11.96  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1369,a,1346,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1369,a,1347,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1369,a,1348,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1369,a,1349,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1369,a,1350,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1369,a,1351,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1369,a,1354,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1369,a,1355,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1369,a,1356,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1369,a,1357,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1369,a,1358,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1369,a,1359,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1369,a,1360,b)].
% 11.94/12.07  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1369,a,1361,b)].
% 11.94/12.07  1370 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | c_lessequals(B,B,A).  [resolve(15,b,2,a)].
% 11.94/12.07  1371 class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A).  [resolve(18,a,15,b)].
% 11.94/12.07  1372 -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(33,a,15,b)].
% 11.94/12.07  1373 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(34,a,15,b)].
% 11.94/12.07  1374 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(35,a,15,b)].
% 11.94/12.07  1375 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(36,a,15,b)].
% 11.94/12.07  1376 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(37,a,15,b)].
% 11.94/12.07  1377 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(38,a,15,b)].
% 11.94/12.07  1378 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(39,a,15,b)].
% 11.94/12.07  1379 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(40,a,15,b)].
% 11.94/12.07  1380 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(41,a,15,b)].
% 11.94/12.07  1381 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(42,a,15,b)].
% 11.94/12.07  1382 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(307,a,283,b)].
% 11.94/12.07  1383 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(308,a,283,b)].
% 12.14/12.28  1384 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A).  [resolve(346,b,322,b)].
% 12.14/12.28  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(1384,b,1346,b)].
% 12.14/12.28  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(1384,b,1347,b)].
% 12.14/12.28  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(1384,b,1348,b)].
% 12.14/12.28  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(1384,b,1349,b)].
% 12.14/12.28  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1384,b,1350,b)].
% 12.14/12.28  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(1384,b,1351,b)].
% 12.14/12.28  1385 class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A).  [resolve(1317,a,1316,b)].
% 12.14/12.29  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(1385,b,1344,a)].
% 12.14/12.29  Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat).  [resolve(1385,b,1345,a)].
% 12.14/12.29  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1385,b,1350,b)].
% 12.14/12.29  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(1385,b,1351,b)].
% 12.14/12.29  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1385,b,1354,b)].
% 12.14/12.29  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1385,b,1355,b)].
% 12.14/12.29  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1385,b,1356,b)].
% 12.14/12.29  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1385,b,1357,b)].
% 12.14/12.29  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1385,b,1358,b)].
% 12.14/12.29  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1385,b,1359,b)].
% 12.14/12.29  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1385,b,1360,b)].
% 12.14/12.29  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1385,b,1361,b)].
% 12.14/12.29  1386 c_lessequals(A,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(1327,a,1316,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,tc_IntDef_Oint).  [resolve(1386,b,1344,a)].
% 12.14/12.29  Derived: c_lessequals(A,A,tc_nat).  [resolve(1386,b,1345,a)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1386,b,1346,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1386,b,1347,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1386,b,1348,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1386,b,1349,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1386,b,1350,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(1386,b,1351,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1386,b,1354,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1386,b,1355,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1386,b,1356,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1386,b,1357,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1386,b,1358,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1386,b,1359,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1386,b,1360,b)].
% 12.14/12.29  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1386,b,1361,b)].
% 12.14/12.29  1387 class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A).  [resolve(1328,b,1316,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1387,b,1344,a)].
% 12.14/12.29  Derived: class_Orderings_Oord(tc_nat).  [resolve(1387,b,1345,a)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(1387,b,1346,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(1387,b,1347,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(1387,b,1348,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(1387,b,1349,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1387,b,1350,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(1387,b,1351,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1387,b,1354,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1387,b,1355,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1387,b,1356,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1387,b,1357,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1387,b,1358,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1387,b,1359,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1387,b,1360,b)].
% 12.14/12.29  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1387,b,1361,b)].
% 12.14/12.29  1388 -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(1329,b,1316,b)].
% 12.14/12.29  Derived: -c_less(A,A,tc_IntDef_Oint).  [resolve(1388,b,1344,a)].
% 12.14/12.29  Derived: -c_less(A,A,tc_nat).  [resolve(1388,b,1345,a)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1388,b,1346,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1388,b,1347,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1388,b,1348,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1388,b,1349,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1388,b,1350,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(1388,b,1351,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1388,b,1354,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1388,b,1355,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1388,b,1356,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1388,b,1357,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1388,b,1358,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1388,b,1359,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1388,b,1360,b)].
% 12.14/12.29  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1388,b,1361,b)].
% 12.14/12.29  1389 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1330,c,1316,b)].
% 12.14/12.29  Derived: -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1389,c,1344,a)].
% 12.14/12.29  Derived: -c_less(A,B,tc_nat) | c_SetInterval_OatLeastAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1389,c,1345,a)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1389,c,1346,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1389,c,1347,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1389,c,1348,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1389,c,1349,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1389,c,1350,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1389,c,1351,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1389,c,1354,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1389,c,1355,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1389,c,1356,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1389,c,1357,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1389,c,1358,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1389,c,1359,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1389,c,1360,b)].
% 12.14/12.29  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1389,c,1361,b)].
% 12.14/12.29  1390 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(1331,b,1316,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_IntDef_Oint) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1390,b,1344,a)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_nat) = c_insert(A,c_emptyset,tc_nat).  [resolve(1390,b,1345,a)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1390,b,1346,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1390,b,1347,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1390,b,1348,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1390,b,1349,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1390,b,1350,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(1390,b,1351,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1390,b,1354,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1390,b,1355,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1390,b,1356,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1390,b,1357,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1390,b,1358,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1390,b,1359,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1390,b,1360,b)].
% 12.14/12.29  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1390,b,1361,b)].
% 12.14/12.29  1391 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1332,c,1316,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1391,c,1344,a)].
% 12.14/12.29  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OatLeastLessThan(B,A,tc_nat) = c_emptyset.  [resolve(1391,c,1345,a)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1391,c,1346,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1391,c,1347,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1391,c,1348,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1391,c,1349,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1391,c,1350,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1391,c,1351,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1391,c,1354,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1391,c,1355,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1391,c,1356,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1391,c,1357,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1391,c,1358,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1391,c,1359,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1391,c,1360,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1391,c,1361,b)].
% 12.14/12.29  1392 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(1333,c,1316,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1392,c,1344,a)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat).  [resolve(1392,c,1345,a)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1392,c,1346,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1392,c,1347,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1392,c,1348,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1392,c,1349,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1392,c,1350,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(1392,c,1351,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1392,c,1354,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1392,c,1355,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1392,c,1356,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1392,c,1357,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1392,c,1358,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1392,c,1359,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1392,c,1360,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1392,c,1361,b)].
% 12.14/12.29  1393 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1334,c,1316,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1393,c,1344,a)].
% 12.14/12.29  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)).  [resolve(1393,c,1345,a)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1393,c,1346,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1393,c,1347,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1393,c,1348,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1393,c,1349,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1393,c,1350,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1393,c,1351,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1393,c,1354,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1393,c,1355,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1393,c,1356,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1393,c,1357,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1393,c,1358,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1393,c,1359,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1393,c,1360,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1393,c,1361,b)].
% 12.14/12.29  1394 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(1335,c,1316,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(1394,c,1344,a)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat).  [resolve(1394,c,1345,a)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1394,c,1346,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1394,c,1347,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1394,c,1348,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1394,c,1349,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1394,c,1350,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(1394,c,1351,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1394,c,1354,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1394,c,1355,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1394,c,1356,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1394,c,1357,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1394,c,1358,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1394,c,1359,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1394,c,1360,b)].
% 12.14/12.29  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1394,c,1361,b)].
% 12.14/12.29  1395 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1336,c,1316,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1395,c,1344,a)].
% 12.14/12.29  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)).  [resolve(1395,c,1345,a)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1395,c,1346,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1395,c,1347,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1395,c,1348,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1395,c,1349,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1395,c,1350,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1395,c,1351,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1395,c,1354,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1395,c,1355,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1395,c,1356,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1395,c,1357,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1395,c,1358,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1395,c,1359,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1395,c,1360,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1395,c,1361,b)].
% 12.14/12.29  1396 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1337,c,1316,b)].
% 12.14/12.29  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OgreaterThanAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1396,c,1344,a)].
% 12.14/12.30  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OgreaterThanAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1396,c,1345,a)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1396,c,1346,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1396,c,1347,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1396,c,1348,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1396,c,1349,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1396,c,1350,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1396,c,1351,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1396,c,1354,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1396,c,1355,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1396,c,1356,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1396,c,1357,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1396,c,1358,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1396,c,1359,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1396,c,1360,b)].
% 12.14/12.30  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1396,c,1361,b)].
% 12.14/12.30  1397 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B).  [resolve(1338,b,1316,b)].
% 12.14/12.30  Derived: c_minus(c_insert(A,c_emptyset,tc_IntDef_Oint),c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1397,b,1344,a)].
% 12.14/12.30  Derived: c_minus(c_insert(A,c_emptyset,tc_nat),c_SetInterval_OlessThan(A,tc_nat),tc_set(tc_nat)) = c_insert(A,c_emptyset,tc_nat).  [resolve(1397,b,1345,a)].
% 12.14/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1397,b,1346,b)].
% 12.14/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1397,b,1347,b)].
% 12.14/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1397,b,1348,b)].
% 12.14/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1397,b,1349,b)].
% 12.14/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1397,b,1350,b)].
% 12.14/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Opordered__ab__group__add(B).  [resolve(1397,b,1351,b)].
% 12.19/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1397,b,1354,b)].
% 12.19/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1397,b,1355,b)].
% 12.19/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1397,b,1356,b)].
% 12.19/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1397,b,1357,b)].
% 12.19/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1397,b,1358,b)].
% 12.19/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1397,b,1359,b)].
% 12.19/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1397,b,1360,b)].
% 12.19/12.30  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1397,b,1361,b)].
% 12.19/12.30  1398 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1340,c,1316,b)].
% 12.19/12.30  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(A,C,tc_IntDef_Oint) | B = C.  [resolve(1398,c,1344,a)].
% 12.19/12.30  Derived: c_plus(A,B,tc_nat) != c_plus(A,C,tc_nat) | B = C.  [resolve(1398,c,1345,a)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1398,c,1346,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1398,c,1347,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1398,c,1348,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1398,c,1349,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1398,c,1350,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1398,c,1351,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1398,c,1354,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1398,c,1355,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(1398,c,1356,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1398,c,1357,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1398,c,1358,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1398,c,1359,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1398,c,1360,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1398,c,1361,b)].
% 12.19/12.30  1399 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C).  [resolve(1341,c,1316,b)].
% 12.19/12.30  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(C,B,tc_IntDef_Oint) | A = C.  [resolve(1399,c,1344,a)].
% 12.19/12.30  Derived: c_plus(A,B,tc_nat) != c_plus(C,B,tc_nat) | A = C.  [resolve(1399,c,1345,a)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1399,c,1346,b)].
% 12.19/12.30  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1399,c,1347,b)].
% 12.36/12.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1399,c,1348,b)].
% 12.36/12.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1399,c,1349,b)].
% 12.36/12.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1399,c,1350,b)].
% 12.36/12.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(1399,c,1351,b)].
% 12.36/12.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1399,c,1354,b)].
% 12.36/12.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1399,c,1355,b)].
% 12.36/12.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(1399,c,1356,b)].
% 12.36/12.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1399,c,1357,b)].
% 12.36/12.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1399,c,1358,b)].
% 12.36/12.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1399,c,1359,b)].
% 12.36/12.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1399,c,1360,b)].
% 12.36/12.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1399,c,1361,b)].
% 12.36/12.50  1400 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) # label(axiom).  [assumption].
% 12.36/12.50  1401 class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_39) # label(axiom).  [assumption].
% 12.36/12.50  1402 class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) # label(clsarity_nat_36) # label(axiom).  [assumption].
% 12.36/12.50  1403 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_5) # label(axiom).  [assumption].
% 12.36/12.50  1404 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_7) # label(axiom).  [assumption].
% 12.36/12.50  1405 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) # label(axiom).  [assumption].
% 12.36/12.50  1406 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__field_40) # label(axiom).  [assumption].
% 12.36/12.50  1407 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_32) # label(axiom).  [assumption].
% 12.36/12.50  1408 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_16) # label(axiom).  [assumption].
% 12.36/12.50  1409 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_26) # label(axiom).  [assumption].
% 12.36/12.50  1410 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_9) # label(axiom).  [assumption].
% 12.36/12.50  1411 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | c_lessequals(B,B,A).  [resolve(12,b,2,a)].
% 12.36/12.50  1412 class_Orderings_Oord(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(18,a,12,b)].
% 12.36/12.50  1413 -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(33,a,12,b)].
% 12.36/12.50  1414 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(34,a,12,b)].
% 12.57/12.68  1415 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(35,a,12,b)].
% 12.57/12.68  1416 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(36,a,12,b)].
% 12.57/12.68  1417 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(37,a,12,b)].
% 12.57/12.68  1418 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(38,a,12,b)].
% 12.57/12.68  1419 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(39,a,12,b)].
% 12.57/12.68  1420 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(40,a,12,b)].
% 12.57/12.68  1421 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(41,a,12,b)].
% 12.57/12.68  1422 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(42,a,12,b)].
% 12.57/12.68  1423 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(307,a,281,b)].
% 12.57/12.68  1424 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(308,a,281,b)].
% 12.57/12.68  1425 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(346,b,320,b)].
% 12.57/12.68  1426 c_LOrder_Omeet(A,A,B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1087,a,1077,b)].
% 12.57/12.68  1427 c_LOrder_Ojoin(A,A,B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1118,a,1108,b)].
% 12.57/12.68  1428 c_lessequals(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1161,b,1138,b)].
% 12.57/12.68  1429 class_Orderings_Oord(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1162,b,1138,b)].
% 12.57/12.68  1430 -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1163,b,1138,b)].
% 12.57/12.68  1431 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1164,c,1138,b)].
% 12.57/12.68  1432 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1165,b,1138,b)].
% 12.57/12.68  1433 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1166,c,1138,b)].
% 12.57/12.68  1434 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1167,c,1138,b)].
% 12.57/12.68  1435 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1168,c,1138,b)].
% 12.57/12.68  1436 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1169,c,1138,b)].
% 12.57/12.68  1437 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1170,c,1138,b)].
% 12.57/12.68  1438 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1171,c,1138,b)].
% 12.57/12.68  1439 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1172,b,1138,b)].
% 12.57/12.69  1440 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1185,a,1177,b)].
% 12.57/12.69  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_lessequals(A,c_Finite__Set_OMax(B,tc_IntDef_Oint),tc_IntDef_Oint) | B = c_emptyset.  [resolve(1440,e,1401,a)].
% 12.57/12.69  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_lessequals(A,c_Finite__Set_OMax(B,tc_nat),tc_nat) | B = c_emptyset.  [resolve(1440,e,1402,a)].
% 12.57/12.69  1441 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1186,a,1177,b)].
% 12.57/12.69  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Finite__Set_OMax(A,tc_IntDef_Oint),A,tc_IntDef_Oint) | A = c_emptyset.  [resolve(1441,d,1401,a)].
% 12.57/12.69  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Finite__Set_OMax(A,tc_nat),A,tc_nat) | A = c_emptyset.  [resolve(1441,d,1402,a)].
% 12.57/12.69  1442 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1187,a,1177,b)].
% 12.57/12.69  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(B,A,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omax(B,c_Finite__Set_OMax(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1442,d,1401,a)].
% 12.57/12.69  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(B,A,tc_nat),tc_nat) = c_Orderings_Omax(B,c_Finite__Set_OMax(A,tc_nat),tc_nat).  [resolve(1442,d,1402,a)].
% 12.57/12.69  1443 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1188,a,1177,b)].
% 12.57/12.69  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(c_Finite__Set_OMax(B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint) | B = c_emptyset.  [resolve(1443,f,1401,a)].
% 12.57/12.69  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_lessequals(c_Finite__Set_OMax(B,tc_nat),C,tc_nat) | c_lessequals(A,C,tc_nat) | B = c_emptyset.  [resolve(1443,f,1402,a)].
% 12.57/12.69  1444 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1189,a,1177,b)].
% 12.57/12.69  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMax__le__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(1444,e,1401,a)].
% 12.57/12.69  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Main_OMax__le__iff__1(A,B,tc_nat),A,tc_nat) | c_lessequals(c_Finite__Set_OMax(A,tc_nat),B,tc_nat) | A = c_emptyset.  [resolve(1444,e,1402,a)].
% 12.57/12.69  1445 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1190,a,1177,b)].
% 12.57/12.69  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(c_Main_OMax__le__iff__1(A,B,tc_IntDef_Oint),B,tc_IntDef_Oint) | c_lessequals(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(1445,e,1401,a)].
% 12.57/12.69  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_lessequals(c_Main_OMax__le__iff__1(A,B,tc_nat),B,tc_nat) | c_lessequals(c_Finite__Set_OMax(A,tc_nat),B,tc_nat) | A = c_emptyset.  [resolve(1445,e,1402,a)].
% 12.57/12.69  1446 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1191,a,1177,b)].
% 12.57/12.70  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(c_Finite__Set_OMax(B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint) | B = c_emptyset.  [resolve(1446,f,1401,a)].
% 12.57/12.70  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_less(c_Finite__Set_OMax(B,tc_nat),C,tc_nat) | c_less(A,C,tc_nat) | B = c_emptyset.  [resolve(1446,f,1402,a)].
% 12.57/12.70  1447 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1192,a,1177,b)].
% 12.57/12.70  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMax__less__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(1447,e,1401,a)].
% 12.57/12.70  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Main_OMax__less__iff__1(A,B,tc_nat),A,tc_nat) | c_less(c_Finite__Set_OMax(A,tc_nat),B,tc_nat) | A = c_emptyset.  [resolve(1447,e,1402,a)].
% 12.57/12.70  1448 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1193,a,1177,b)].
% 12.57/12.70  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(c_Main_OMax__less__iff__1(A,B,tc_IntDef_Oint),B,tc_IntDef_Oint) | c_less(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(1448,e,1401,a)].
% 12.57/12.70  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_less(c_Main_OMax__less__iff__1(A,B,tc_nat),B,tc_nat) | c_less(c_Finite__Set_OMax(A,tc_nat),B,tc_nat) | A = c_emptyset.  [resolve(1448,e,1402,a)].
% 12.57/12.70  1449 c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1194,a,1177,b)].
% 12.57/12.70  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(1449,b,1401,a)].
% 12.57/12.70  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,tc_nat),tc_nat) = A.  [resolve(1449,b,1402,a)].
% 12.57/12.70  1450 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1195,a,1177,b)].
% 12.57/12.70  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(C,c_Finite__Set_OMin(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(C,A,tc_IntDef_Oint) | B = c_emptyset.  [resolve(1450,f,1401,a)].
% 12.57/12.70  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_lessequals(C,c_Finite__Set_OMin(B,tc_nat),tc_nat) | c_lessequals(C,A,tc_nat) | B = c_emptyset.  [resolve(1450,f,1402,a)].
% 12.57/12.70  1451 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1196,a,1177,b)].
% 12.57/12.70  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMin__ge__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(1451,e,1401,a)].
% 12.57/12.70  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Main_OMin__ge__iff__1(A,B,tc_nat),A,tc_nat) | c_lessequals(B,c_Finite__Set_OMin(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(1451,e,1402,a)].
% 12.57/12.70  1452 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1197,a,1177,b)].
% 12.57/12.70  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(B,c_Main_OMin__ge__iff__1(A,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(1452,e,1401,a)].
% 12.57/12.72  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_lessequals(B,c_Main_OMin__ge__iff__1(A,B,tc_nat),tc_nat) | c_lessequals(B,c_Finite__Set_OMin(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(1452,e,1402,a)].
% 12.57/12.72  1453 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1198,a,1177,b)].
% 12.57/12.72  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(C,c_Finite__Set_OMin(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(C,A,tc_IntDef_Oint) | B = c_emptyset.  [resolve(1453,f,1401,a)].
% 12.57/12.72  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_less(C,c_Finite__Set_OMin(B,tc_nat),tc_nat) | c_less(C,A,tc_nat) | B = c_emptyset.  [resolve(1453,f,1402,a)].
% 12.57/12.72  1454 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1199,a,1177,b)].
% 12.57/12.72  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMin__gr__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(1454,e,1401,a)].
% 12.57/12.72  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Main_OMin__gr__iff__1(A,B,tc_nat),A,tc_nat) | c_less(B,c_Finite__Set_OMin(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(1454,e,1402,a)].
% 12.57/12.72  1455 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1200,a,1177,b)].
% 12.57/12.72  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(B,c_Main_OMin__gr__iff__1(A,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(1455,e,1401,a)].
% 12.57/12.72  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_less(B,c_Main_OMin__gr__iff__1(A,B,tc_nat),tc_nat) | c_less(B,c_Finite__Set_OMin(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(1455,e,1402,a)].
% 12.57/12.72  1456 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1201,a,1177,b)].
% 12.57/12.72  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Finite__Set_OMin(A,tc_IntDef_Oint),A,tc_IntDef_Oint) | A = c_emptyset.  [resolve(1456,d,1401,a)].
% 12.57/12.72  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Finite__Set_OMin(A,tc_nat),A,tc_nat) | A = c_emptyset.  [resolve(1456,d,1402,a)].
% 12.57/12.72  1457 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1202,a,1177,b)].
% 12.57/12.72  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(B,A,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omin(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1457,d,1401,a)].
% 12.57/12.72  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(B,A,tc_nat),tc_nat) = c_Orderings_Omin(B,c_Finite__Set_OMin(A,tc_nat),tc_nat).  [resolve(1457,d,1402,a)].
% 12.57/12.72  1458 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1203,a,1177,b)].
% 12.57/12.72  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_lessequals(c_Finite__Set_OMin(B,tc_IntDef_Oint),A,tc_IntDef_Oint) | B = c_emptyset.  [resolve(1458,e,1401,a)].
% 12.57/12.72  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_lessequals(c_Finite__Set_OMin(B,tc_nat),A,tc_nat) | B = c_emptyset.  [resolve(1458,e,1402,a)].
% 12.57/12.73  1459 c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1204,a,1177,b)].
% 12.57/12.73  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(1459,b,1401,a)].
% 12.57/12.73  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,tc_nat),tc_nat) = A.  [resolve(1459,b,1402,a)].
% 12.57/12.73  1460 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1205,a,1177,b)].
% 12.57/12.73  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_lessequals(c_Finite__Set_OMin(A,tc_IntDef_Oint),c_Finite__Set_OMax(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(1460,d,1401,a)].
% 12.57/12.73  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_lessequals(c_Finite__Set_OMin(A,tc_nat),c_Finite__Set_OMax(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(1460,d,1402,a)].
% 12.57/12.73  1461 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1206,a,1177,b)].
% 12.57/12.73  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(1461,e,1401,a)].
% 12.57/12.73  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,tc_nat),tc_nat) = A.  [resolve(1461,e,1402,a)].
% 12.57/12.73  1462 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1207,a,1177,b)].
% 12.57/12.73  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(1462,e,1401,a)].
% 12.57/12.73  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,tc_nat),tc_nat) = A.  [resolve(1462,e,1402,a)].
% 12.57/12.73  1463 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1208,b,1177,b)].
% 12.57/12.73  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_less(A,c_0,tc_IntDef_Oint).  [resolve(1463,d,1401,a)].
% 12.57/12.73  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_plus(A,A,tc_nat),c_0,tc_nat) | c_less(A,c_0,tc_nat).  [resolve(1463,d,1402,a)].
% 12.57/12.73  1464 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1209,b,1177,b)].
% 12.57/12.73  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(A,c_0,tc_IntDef_Oint) | c_less(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(1464,d,1401,a)].
% 12.57/12.73  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(A,c_0,tc_nat) | c_less(c_plus(A,A,tc_nat),c_0,tc_nat).  [resolve(1464,d,1402,a)].
% 12.57/12.73  1465 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1210,a,1177,b)].
% 12.57/12.73  Derived: -c_less(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(1465,c,1401,a)].
% 12.57/12.73  Derived: -c_less(c_Orderings_Omax(A,B,tc_nat),C,tc_nat) | c_less(A,C,tc_nat).  [resolve(1465,c,1402,a)].
% 12.57/12.73  1466 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1211,a,1177,b)].
% 12.57/12.73  Derived: -c_less(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_less(B,C,tc_IntDef_Oint).  [resolve(1466,c,1401,a)].
% 12.57/12.73  Derived: -c_less(c_Orderings_Omax(A,B,tc_nat),C,tc_nat) | c_less(B,C,tc_nat).  [resolve(1466,c,1402,a)].
% 12.57/12.73  1467 -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1212,a,1177,b)].
% 12.66/12.75  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_less(C,B,tc_IntDef_Oint) | c_less(c_Orderings_Omax(C,A,tc_IntDef_Oint),B,tc_IntDef_Oint).  [resolve(1467,d,1401,a)].
% 12.66/12.75  Derived: -c_less(A,B,tc_nat) | -c_less(C,B,tc_nat) | c_less(c_Orderings_Omax(C,A,tc_nat),B,tc_nat).  [resolve(1467,d,1402,a)].
% 12.66/12.75  1468 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(D).  [resolve(1213,a,1177,b)].
% 12.66/12.75  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint).  [resolve(1468,c,1401,a)].
% 12.66/12.75  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_nat),tc_nat) | c_less(A,B,tc_nat).  [resolve(1468,c,1402,a)].
% 12.66/12.75  1469 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(D).  [resolve(1214,a,1177,b)].
% 12.66/12.75  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(1469,c,1401,a)].
% 12.66/12.75  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_nat),tc_nat) | c_less(A,C,tc_nat).  [resolve(1469,c,1402,a)].
% 12.66/12.75  1470 -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1215,a,1177,b)].
% 12.66/12.75  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_less(A,C,tc_IntDef_Oint) | c_less(A,c_Orderings_Omin(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1470,d,1401,a)].
% 12.66/12.75  Derived: -c_less(A,B,tc_nat) | -c_less(A,C,tc_nat) | c_less(A,c_Orderings_Omin(C,B,tc_nat),tc_nat).  [resolve(1470,d,1402,a)].
% 12.66/12.75  1471 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(D).  [resolve(1216,a,1177,b)].
% 12.66/12.75  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(1471,c,1401,a)].
% 12.66/12.75  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat).  [resolve(1471,c,1402,a)].
% 12.66/12.75  1472 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(D).  [resolve(1217,a,1177,b)].
% 12.66/12.75  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(1472,c,1401,a)].
% 12.66/12.75  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_nat),tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(1472,c,1402,a)].
% 12.66/12.75  1473 -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1218,a,1177,b)].
% 12.66/12.75  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(A,C,tc_IntDef_Oint) | c_lessequals(A,c_Orderings_Omin(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1473,d,1401,a)].
% 12.66/12.75  Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(A,C,tc_nat) | c_lessequals(A,c_Orderings_Omin(C,B,tc_nat),tc_nat).  [resolve(1473,d,1402,a)].
% 12.66/12.75  1474 c_Orderings_Omin(A,A,B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1219,a,1177,b)].
% 12.66/12.75  Derived: c_Orderings_Omin(A,A,tc_IntDef_Oint) = A.  [resolve(1474,b,1401,a)].
% 12.66/12.75  Derived: c_Orderings_Omin(A,A,tc_nat) = A.  [resolve(1474,b,1402,a)].
% 12.66/12.75  1475 c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1220,a,1177,b)].
% 12.66/12.75  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omin(A,B,tc_IntDef_Oint).  [resolve(1475,b,1401,a)].
% 12.66/12.75  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,tc_nat),tc_nat) = c_Orderings_Omin(A,B,tc_nat).  [resolve(1475,b,1402,a)].
% 12.66/12.75  1476 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1221,a,1177,b)].
% 12.66/12.75  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(1476,c,1401,a)].
% 12.66/12.75  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_nat),C,tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(1476,c,1402,a)].
% 12.66/12.75  1477 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1222,a,1177,b)].
% 12.66/12.76  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(1477,c,1401,a)].
% 12.66/12.76  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_nat),C,tc_nat) | c_lessequals(B,C,tc_nat).  [resolve(1477,c,1402,a)].
% 12.66/12.76  1478 -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1223,a,1177,b)].
% 12.66/12.76  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,B,tc_IntDef_Oint) | c_lessequals(c_Orderings_Omax(C,A,tc_IntDef_Oint),B,tc_IntDef_Oint).  [resolve(1478,d,1401,a)].
% 12.66/12.76  Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,B,tc_nat) | c_lessequals(c_Orderings_Omax(C,A,tc_nat),B,tc_nat).  [resolve(1478,d,1402,a)].
% 12.66/12.76  1479 c_Orderings_Omax(A,A,B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1224,a,1177,b)].
% 12.66/12.76  Derived: c_Orderings_Omax(A,A,tc_IntDef_Oint) = A.  [resolve(1479,b,1401,a)].
% 12.66/12.76  Derived: c_Orderings_Omax(A,A,tc_nat) = A.  [resolve(1479,b,1402,a)].
% 12.66/12.76  1480 c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1225,a,1177,b)].
% 12.66/12.76  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omax(A,B,tc_IntDef_Oint).  [resolve(1480,b,1401,a)].
% 12.66/12.76  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,tc_nat),tc_nat) = c_Orderings_Omax(A,B,tc_nat).  [resolve(1480,b,1402,a)].
% 12.66/12.76  1481 c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1226,a,1177,b)].
% 12.66/12.76  Derived: c_uminus(c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OlessThan(A,tc_IntDef_Oint).  [resolve(1481,b,1401,a)].
% 12.66/12.76  Derived: c_uminus(c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)) = c_SetInterval_OlessThan(A,tc_nat).  [resolve(1481,b,1402,a)].
% 12.66/12.76  1482 c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1227,a,1177,b)].
% 12.66/12.76  Derived: c_uminus(c_SetInterval_OatMost(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OgreaterThan(A,tc_IntDef_Oint).  [resolve(1482,b,1401,a)].
% 12.66/12.76  Derived: c_uminus(c_SetInterval_OatMost(A,tc_nat),tc_set(tc_nat)) = c_SetInterval_OgreaterThan(A,tc_nat).  [resolve(1482,b,1402,a)].
% 12.66/12.76  1483 c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1228,a,1177,b)].
% 12.66/12.76  Derived: c_uminus(c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OatMost(A,tc_IntDef_Oint).  [resolve(1483,b,1401,a)].
% 12.66/12.76  Derived: c_uminus(c_SetInterval_OgreaterThan(A,tc_nat),tc_set(tc_nat)) = c_SetInterval_OatMost(A,tc_nat).  [resolve(1483,b,1402,a)].
% 12.66/12.76  1484 c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1229,a,1177,b)].
% 12.66/12.76  Derived: c_uminus(c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OatLeast(A,tc_IntDef_Oint).  [resolve(1484,b,1401,a)].
% 12.66/12.76  Derived: c_uminus(c_SetInterval_OlessThan(A,tc_nat),tc_set(tc_nat)) = c_SetInterval_OatLeast(A,tc_nat).  [resolve(1484,b,1402,a)].
% 12.66/12.76  1485 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1230,a,1177,b)].
% 12.66/12.76  Derived: c_SetInterval_OatLeast(A,tc_IntDef_Oint) != c_SetInterval_OatLeast(B,tc_IntDef_Oint) | A = B.  [resolve(1485,c,1401,a)].
% 12.66/12.76  Derived: c_SetInterval_OatLeast(A,tc_nat) != c_SetInterval_OatLeast(B,tc_nat) | A = B.  [resolve(1485,c,1402,a)].
% 12.66/12.76  1486 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1231,a,1177,b)].
% 12.66/12.76  Derived: c_SetInterval_OatMost(A,tc_IntDef_Oint) != c_SetInterval_OatMost(B,tc_IntDef_Oint) | A = B.  [resolve(1486,c,1401,a)].
% 12.68/12.78  Derived: c_SetInterval_OatMost(A,tc_nat) != c_SetInterval_OatMost(B,tc_nat) | A = B.  [resolve(1486,c,1402,a)].
% 12.68/12.78  1487 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1232,a,1177,b)].
% 12.68/12.78  Derived: c_SetInterval_OgreaterThan(A,tc_IntDef_Oint) != c_SetInterval_OgreaterThan(B,tc_IntDef_Oint) | A = B.  [resolve(1487,c,1401,a)].
% 12.68/12.78  Derived: c_SetInterval_OgreaterThan(A,tc_nat) != c_SetInterval_OgreaterThan(B,tc_nat) | A = B.  [resolve(1487,c,1402,a)].
% 12.68/12.78  1488 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1233,a,1177,b)].
% 12.68/12.78  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1488,c,1401,a)].
% 12.68/12.78  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_nat),c_SetInterval_OgreaterThan(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat).  [resolve(1488,c,1402,a)].
% 12.68/12.78  1489 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1234,a,1177,b)].
% 12.68/12.78  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1489,c,1401,a)].
% 12.68/12.78  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_nat),c_SetInterval_OgreaterThan(A,tc_nat),tc_set(tc_nat)).  [resolve(1489,c,1402,a)].
% 12.68/12.78  1490 -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1235,a,1177,b)].
% 12.68/12.78  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_minus(c_SetInterval_OatLeastLessThan(A,C,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(A,B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OatLeastLessThan(B,C,tc_IntDef_Oint).  [resolve(1490,c,1401,a)].
% 12.68/12.78  Derived: -c_lessequals(A,B,tc_nat) | c_minus(c_SetInterval_OatLeastLessThan(A,C,tc_nat),c_SetInterval_OatLeastLessThan(A,B,tc_nat),tc_set(tc_nat)) = c_SetInterval_OatLeastLessThan(B,C,tc_nat).  [resolve(1490,c,1402,a)].
% 12.68/12.78  1491 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1236,a,1177,b)].
% 12.68/12.78  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,D,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1491,d,1401,a)].
% 12.68/12.78  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_nat),c_SetInterval_OatLeastLessThan(C,D,tc_nat),tc_set(tc_nat)) | c_lessequals(C,A,tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(1491,d,1402,a)].
% 12.68/12.78  1492 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1237,a,1177,b)].
% 12.68/12.78  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,D,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,D,tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1492,d,1401,a)].
% 12.68/12.78  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_nat),c_SetInterval_OatLeastLessThan(C,D,tc_nat),tc_set(tc_nat)) | c_lessequals(B,D,tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(1492,d,1402,a)].
% 12.68/12.78  1493 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1238,a,1177,b)].
% 12.68/12.79  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,D,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1493,c,1401,a)].
% 12.68/12.79  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,tc_nat),c_SetInterval_OatLeastLessThan(C,D,tc_nat),tc_set(tc_nat)).  [resolve(1493,c,1402,a)].
% 12.68/12.79  1494 -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1239,a,1177,b)].
% 12.68/12.79  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,D,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeastLessThan(D,A,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1494,d,1401,a)].
% 12.68/12.79  Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,D,tc_nat) | c_lessequals(c_SetInterval_OatLeastLessThan(D,A,tc_nat),c_SetInterval_OatLeastLessThan(C,B,tc_nat),tc_set(tc_nat)).  [resolve(1494,d,1402,a)].
% 12.68/12.79  1495 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1240,a,1177,b)].
% 12.68/12.79  Derived: c_SetInterval_OlessThan(A,tc_IntDef_Oint) != c_SetInterval_OlessThan(B,tc_IntDef_Oint) | A = B.  [resolve(1495,c,1401,a)].
% 12.68/12.79  Derived: c_SetInterval_OlessThan(A,tc_nat) != c_SetInterval_OlessThan(B,tc_nat) | A = B.  [resolve(1495,c,1402,a)].
% 12.68/12.79  1496 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1241,a,1177,b)].
% 12.68/12.79  Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(1496,c,1401,a)].
% 12.68/12.79  Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_nat),c_SetInterval_OlessThan(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat).  [resolve(1496,c,1402,a)].
% 12.68/12.79  1497 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1242,a,1177,b)].
% 12.68/12.79  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1497,c,1401,a)].
% 12.68/12.79  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OlessThan(A,tc_nat),c_SetInterval_OlessThan(B,tc_nat),tc_set(tc_nat)).  [resolve(1497,c,1402,a)].
% 12.68/12.79  1498 c_LOrder_Omeet(A,A,B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1255,b,1177,b)].
% 12.68/12.79  Derived: c_LOrder_Omeet(A,A,tc_IntDef_Oint) = A.  [resolve(1498,b,1401,a)].
% 12.68/12.79  Derived: c_LOrder_Omeet(A,A,tc_nat) = A.  [resolve(1498,b,1402,a)].
% 12.68/12.79  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1498,b,1405,b)].
% 12.68/12.79  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1498,b,1406,b)].
% 12.68/12.79  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1498,b,1407,b)].
% 12.68/12.79  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1498,b,1408,b)].
% 12.68/12.79  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1498,b,1409,b)].
% 12.68/12.79  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1498,b,1410,b)].
% 12.68/12.79  1499 c_LOrder_Ojoin(A,A,B) = A | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1256,b,1177,b)].
% 12.68/12.79  Derived: c_LOrder_Ojoin(A,A,tc_IntDef_Oint) = A.  [resolve(1499,b,1401,a)].
% 12.68/12.79  Derived: c_LOrder_Ojoin(A,A,tc_nat) = A.  [resolve(1499,b,1402,a)].
% 12.68/12.79  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1499,b,1405,b)].
% 12.68/12.79  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1499,b,1406,b)].
% 12.68/12.79  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1499,b,1407,b)].
% 12.68/12.81  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1499,b,1408,b)].
% 12.68/12.81  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1499,b,1409,b)].
% 12.68/12.81  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1499,b,1410,b)].
% 12.68/12.81  1500 c_lessequals(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1257,b,1177,b)].
% 12.68/12.81  1501 class_Orderings_Oord(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1258,b,1177,b)].
% 12.68/12.81  1502 -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1259,b,1177,b)].
% 12.68/12.81  1503 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1260,c,1177,b)].
% 12.68/12.81  1504 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1261,b,1177,b)].
% 12.68/12.81  1505 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1262,c,1177,b)].
% 12.68/12.81  1506 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1263,c,1177,b)].
% 12.68/12.81  1507 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1264,c,1177,b)].
% 12.68/12.81  1508 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1265,c,1177,b)].
% 12.68/12.81  1509 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1266,c,1177,b)].
% 12.68/12.81  1510 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1267,c,1177,b)].
% 12.68/12.81  1511 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1268,b,1177,b)].
% 12.68/12.81  1512 class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1278,a,1276,b)].
% 12.68/12.81  1513 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1340,c,1314,b)].
% 12.68/12.81  1514 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1341,c,1314,b)].
% 12.68/12.81  1515 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1362,a,1350,b)].
% 12.68/12.81  Derived: -c_lessequals(c_plus(A,B,tc_IntDef_Oint),c_plus(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(1515,c,1401,a)].
% 12.68/12.81  Derived: -c_lessequals(c_plus(A,B,tc_nat),c_plus(A,C,tc_nat),tc_nat) | c_lessequals(B,C,tc_nat).  [resolve(1515,c,1402,a)].
% 12.68/12.81  1516 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1363,a,1350,b)].
% 12.68/12.81  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_plus(C,A,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1516,c,1401,a)].
% 12.68/12.81  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_plus(C,A,tc_nat),c_plus(C,B,tc_nat),tc_nat).  [resolve(1516,c,1402,a)].
% 12.68/12.81  1517 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1364,a,1350,b)].
% 12.68/12.81  Derived: -c_lessequals(c_plus(A,B,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(1517,c,1401,a)].
% 12.68/12.81  Derived: -c_lessequals(c_plus(A,B,tc_nat),c_plus(C,B,tc_nat),tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(1517,c,1402,a)].
% 12.73/12.83  1518 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1365,a,1350,b)].
% 12.73/12.83  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_plus(A,C,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1518,c,1401,a)].
% 12.73/12.83  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_plus(A,C,tc_nat),c_plus(B,C,tc_nat),tc_nat).  [resolve(1518,c,1402,a)].
% 12.73/12.83  1519 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1366,a,1350,b)].
% 12.73/12.83  Derived: -c_less(c_plus(A,B,tc_IntDef_Oint),c_plus(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,C,tc_IntDef_Oint).  [resolve(1519,c,1401,a)].
% 12.73/12.83  Derived: -c_less(c_plus(A,B,tc_nat),c_plus(A,C,tc_nat),tc_nat) | c_less(B,C,tc_nat).  [resolve(1519,c,1402,a)].
% 12.73/12.83  1520 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1367,a,1350,b)].
% 12.73/12.83  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_plus(C,A,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1520,c,1401,a)].
% 12.73/12.83  Derived: -c_less(A,B,tc_nat) | c_less(c_plus(C,A,tc_nat),c_plus(C,B,tc_nat),tc_nat).  [resolve(1520,c,1402,a)].
% 12.73/12.83  1521 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1368,a,1350,b)].
% 12.73/12.83  Derived: -c_less(c_plus(A,B,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(1521,c,1401,a)].
% 12.73/12.83  Derived: -c_less(c_plus(A,B,tc_nat),c_plus(C,B,tc_nat),tc_nat) | c_less(A,C,tc_nat).  [resolve(1521,c,1402,a)].
% 12.73/12.83  1522 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1369,a,1350,b)].
% 12.73/12.83  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_plus(A,C,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1522,c,1401,a)].
% 12.73/12.83  Derived: -c_less(A,B,tc_nat) | c_less(c_plus(A,C,tc_nat),c_plus(B,C,tc_nat),tc_nat).  [resolve(1522,c,1402,a)].
% 12.73/12.83  1523 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1384,b,1350,b)].
% 12.73/12.83  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(1523,b,1401,a)].
% 12.73/12.83  Derived: class_OrderedGroup_Osemigroup__add(tc_nat).  [resolve(1523,b,1402,a)].
% 12.73/12.83  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1523,b,1405,b)].
% 12.73/12.83  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1523,b,1406,b)].
% 12.73/12.83  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1523,b,1407,b)].
% 12.73/12.83  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1523,b,1408,b)].
% 12.73/12.83  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1523,b,1409,b)].
% 12.73/12.83  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1523,b,1410,b)].
% 12.73/12.83  1524 class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1385,b,1350,b)].
% 12.73/12.83  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(1524,b,1401,a)].
% 12.73/12.83  Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat).  [resolve(1524,b,1402,a)].
% 12.73/12.83  1525 c_lessequals(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1386,b,1350,b)].
% 12.73/12.83  Derived: c_lessequals(A,A,tc_IntDef_Oint).  [resolve(1525,b,1401,a)].
% 12.73/12.83  Derived: c_lessequals(A,A,tc_nat).  [resolve(1525,b,1402,a)].
% 12.73/12.83  1526 class_Orderings_Oord(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A).  [resolve(1387,b,1350,b)].
% 12.73/12.83  Derived: class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1526,b,1401,a)].
% 12.73/12.83  Derived: class_Orderings_Oord(tc_nat).  [resolve(1526,b,1402,a)].
% 12.73/12.83  1527 -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1388,b,1350,b)].
% 12.75/12.86  Derived: -c_less(A,A,tc_IntDef_Oint).  [resolve(1527,b,1401,a)].
% 12.75/12.86  Derived: -c_less(A,A,tc_nat).  [resolve(1527,b,1402,a)].
% 12.75/12.86  1528 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1389,c,1350,b)].
% 12.75/12.86  Derived: -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1528,c,1401,a)].
% 12.75/12.86  Derived: -c_less(A,B,tc_nat) | c_SetInterval_OatLeastAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1528,c,1402,a)].
% 12.75/12.86  1529 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1390,b,1350,b)].
% 12.75/12.86  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_IntDef_Oint) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1529,b,1401,a)].
% 12.75/12.86  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_nat) = c_insert(A,c_emptyset,tc_nat).  [resolve(1529,b,1402,a)].
% 12.75/12.86  1530 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1391,c,1350,b)].
% 12.75/12.86  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1530,c,1401,a)].
% 12.75/12.86  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OatLeastLessThan(B,A,tc_nat) = c_emptyset.  [resolve(1530,c,1402,a)].
% 12.75/12.86  1531 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1392,c,1350,b)].
% 12.75/12.86  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1531,c,1401,a)].
% 12.75/12.86  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat).  [resolve(1531,c,1402,a)].
% 12.75/12.86  1532 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1393,c,1350,b)].
% 12.75/12.86  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1532,c,1401,a)].
% 12.75/12.86  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)).  [resolve(1532,c,1402,a)].
% 12.75/12.86  1533 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1394,c,1350,b)].
% 12.75/12.86  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(1533,c,1401,a)].
% 12.75/12.86  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat).  [resolve(1533,c,1402,a)].
% 12.75/12.86  1534 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1395,c,1350,b)].
% 12.75/12.86  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1534,c,1401,a)].
% 12.75/12.86  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)).  [resolve(1534,c,1402,a)].
% 12.75/12.86  1535 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1396,c,1350,b)].
% 12.75/12.86  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OgreaterThanAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1535,c,1401,a)].
% 12.75/12.86  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OgreaterThanAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1535,c,1402,a)].
% 12.75/12.86  1536 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B).  [resolve(1397,b,1350,b)].
% 13.34/13.45  Derived: c_minus(c_insert(A,c_emptyset,tc_IntDef_Oint),c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1536,b,1401,a)].
% 13.34/13.45  Derived: c_minus(c_insert(A,c_emptyset,tc_nat),c_SetInterval_OlessThan(A,tc_nat),tc_set(tc_nat)) = c_insert(A,c_emptyset,tc_nat).  [resolve(1536,b,1402,a)].
% 13.34/13.45  1537 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1398,c,1350,b)].
% 13.34/13.45  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(A,C,tc_IntDef_Oint) | B = C.  [resolve(1537,c,1401,a)].
% 13.34/13.45  Derived: c_plus(A,B,tc_nat) != c_plus(A,C,tc_nat) | B = C.  [resolve(1537,c,1402,a)].
% 13.34/13.45  1538 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C).  [resolve(1399,c,1350,b)].
% 13.34/13.45  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(C,B,tc_IntDef_Oint) | A = C.  [resolve(1538,c,1401,a)].
% 13.34/13.45  Derived: c_plus(A,B,tc_nat) != c_plus(C,B,tc_nat) | A = C.  [resolve(1538,c,1402,a)].
% 13.34/13.45  1539 -class_Ring__and__Field_Opordered__semiring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Opordered__semiring_11) # label(axiom).  [assumption].
% 13.34/13.45  1540 class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_40) # label(axiom).  [assumption].
% 13.34/13.45  1541 class_Ring__and__Field_Opordered__semiring(tc_nat) # label(clsarity_nat_37) # label(axiom).  [assumption].
% 13.34/13.45  1542 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Olordered__ring_8) # label(axiom).  [assumption].
% 13.34/13.45  1543 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) # label(axiom).  [assumption].
% 13.34/13.45  1544 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Oordered__field_46) # label(axiom).  [assumption].
% 13.34/13.45  1545 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Oordered__idom_42) # label(axiom).  [assumption].
% 13.34/13.45  1546 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_24) # label(axiom).  [assumption].
% 13.34/13.45  1547 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semidom_36) # label(axiom).  [assumption].
% 13.34/13.45  1548 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_23) # label(axiom).  [assumption].
% 13.34/13.45  1549 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) # label(axiom).  [assumption].
% 13.34/13.45  1550 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_0) # label(axiom).  [assumption].
% 13.34/13.45  1551 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_21) # label(axiom).  [assumption].
% 13.34/13.45  1552 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_15) # label(axiom).  [assumption].
% 13.34/13.45  1553 -class_Ring__and__Field_Opordered__ring(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Opordered__ring_15) # label(axiom).  [assumption].
% 13.34/13.45  1554 -class_Ring__and__Field_Opordered__semiring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__semiring_2) # label(axiom).  [assumption].
% 13.34/13.45  1555 -class_Ring__and__Field_Opordered__semiring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__semiring_5) # label(axiom).  [assumption].
% 13.44/13.53  1556 -class_Ring__and__Field_Opordered__semiring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__semiring_6) # label(axiom).  [assumption].
% 13.44/13.53  1557 -class_Ring__and__Field_Opordered__semiring(A) | c_lessequals(B,B,A).  [resolve(31,b,2,a)].
% 13.44/13.53  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1557,a,1549,b)].
% 13.44/13.53  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1557,a,1550,b)].
% 13.44/13.53  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1557,a,1551,b)].
% 13.44/13.53  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1557,a,1552,b)].
% 13.44/13.53  1558 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(33,a,31,b)].
% 13.44/13.53  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1558,b,1549,b)].
% 13.44/13.53  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1558,b,1550,b)].
% 13.44/13.53  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1558,b,1551,b)].
% 13.44/13.53  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1558,b,1552,b)].
% 13.44/13.53  1559 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__semiring(C).  [resolve(34,a,31,b)].
% 13.44/13.53  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1559,c,1549,b)].
% 13.44/13.53  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(1559,c,1550,b)].
% 13.44/13.53  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(1559,c,1551,b)].
% 13.44/13.53  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(1559,c,1552,b)].
% 13.44/13.53  1560 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(35,a,31,b)].
% 13.44/13.53  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1560,b,1549,b)].
% 13.44/13.53  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1560,b,1550,b)].
% 13.44/13.53  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1560,b,1551,b)].
% 13.44/13.53  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1560,b,1552,b)].
% 13.44/13.53  1561 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__semiring(C).  [resolve(36,a,31,b)].
% 13.44/13.53  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1561,c,1549,b)].
% 13.44/13.53  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(1561,c,1550,b)].
% 13.44/13.53  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(1561,c,1551,b)].
% 13.44/13.53  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(1561,c,1552,b)].
% 13.44/13.53  1562 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(37,a,31,b)].
% 13.44/13.53  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1562,c,1549,b)].
% 13.44/13.53  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1562,c,1550,b)].
% 13.44/13.56  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1562,c,1551,b)].
% 13.44/13.56  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1562,c,1552,b)].
% 13.44/13.56  1563 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__semiring(C).  [resolve(38,a,31,b)].
% 13.44/13.56  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1563,c,1549,b)].
% 13.44/13.56  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(1563,c,1550,b)].
% 13.44/13.56  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(1563,c,1551,b)].
% 13.44/13.56  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(1563,c,1552,b)].
% 13.44/13.56  1564 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(39,a,31,b)].
% 13.44/13.56  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1564,c,1549,b)].
% 13.44/13.56  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1564,c,1550,b)].
% 13.44/13.56  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1564,c,1551,b)].
% 13.44/13.56  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1564,c,1552,b)].
% 13.44/13.56  1565 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__semiring(C).  [resolve(40,a,31,b)].
% 13.44/13.56  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1565,c,1549,b)].
% 13.44/13.56  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(1565,c,1550,b)].
% 13.44/13.56  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(1565,c,1551,b)].
% 13.44/13.56  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(1565,c,1552,b)].
% 13.44/13.56  1566 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__semiring(C).  [resolve(41,a,31,b)].
% 13.44/13.56  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1566,c,1549,b)].
% 13.44/13.56  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(1566,c,1550,b)].
% 13.44/13.56  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(1566,c,1551,b)].
% 13.44/13.56  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(1566,c,1552,b)].
% 13.44/13.59  1567 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(42,a,31,b)].
% 13.44/13.59  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1567,b,1549,b)].
% 13.44/13.59  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1567,b,1550,b)].
% 13.44/13.59  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1567,b,1551,b)].
% 13.44/13.59  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1567,b,1552,b)].
% 13.44/13.59  1568 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(71,a,97,b)].
% 13.44/13.59  1569 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(100,a,97,b)].
% 13.44/13.59  1570 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(102,a,97,b)].
% 13.44/13.59  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1570,b,1543,b)].
% 13.44/13.59  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1570,b,1548,b)].
% 13.44/13.59  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1570,b,1549,b)].
% 13.44/13.59  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(1570,b,1550,b)].
% 13.44/13.59  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(1570,b,1552,b)].
% 13.44/13.59  1571 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(108,b,97,b)].
% 13.44/13.59  1572 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(109,b,97,b)].
% 13.44/13.59  1573 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(183,a,176,b)].
% 13.44/13.59  1574 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(184,a,176,b)].
% 13.44/13.59  1575 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(221,c,210,b)].
% 13.44/13.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1575,c,1543,b)].
% 13.44/13.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1575,c,1547,b)].
% 13.44/13.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1575,c,1548,b)].
% 13.44/13.59  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1575,c,1549,b)].
% 13.51/13.60  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(1575,c,1550,b)].
% 13.51/13.60  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(1575,c,1552,b)].
% 13.51/13.60  1576 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(222,c,210,b)].
% 13.51/13.60  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1576,c,1543,b)].
% 13.51/13.60  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1576,c,1547,b)].
% 13.51/13.60  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1576,c,1548,b)].
% 13.51/13.60  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1576,c,1549,b)].
% 13.51/13.60  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(1576,c,1550,b)].
% 13.51/13.60  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(1576,c,1552,b)].
% 13.51/13.60  1577 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(223,a,210,b)].
% 13.51/13.60  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(1577,b,1552,b)].
% 13.51/13.60  1578 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__semiring(A).  [resolve(224,a,210,b)].
% 13.51/13.60  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(1578,b,1552,b)].
% 13.51/13.60  1579 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(226,b,210,b)].
% 13.51/13.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1579,b,1543,b)].
% 13.51/13.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1579,b,1547,b)].
% 13.51/13.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1579,b,1548,b)].
% 13.51/13.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1579,b,1549,b)].
% 13.51/13.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1579,b,1550,b)].
% 13.51/13.60  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1579,b,1552,b)].
% 13.51/13.60  1580 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__semiring(B).  [resolve(227,b,210,b)].
% 13.51/13.60  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1580,b,1543,b)].
% 13.51/13.60  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1580,b,1547,b)].
% 13.51/13.60  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1580,b,1548,b)].
% 13.89/14.05  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1580,b,1549,b)].
% 13.89/14.05  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1580,b,1550,b)].
% 13.89/14.05  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1580,b,1552,b)].
% 13.89/14.05  1581 -class_Ring__and__Field_Opordered__semiring(A) | class_Orderings_Oord(A).  [resolve(1294,b,1269,a)].
% 13.89/14.05  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(1581,a,1550,b)].
% 13.89/14.05  1582 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_12) # label(axiom).  [assumption].
% 13.89/14.05  1583 class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_41) # label(axiom).  [assumption].
% 13.89/14.05  1584 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) # label(clsarity_nat_38) # label(axiom).  [assumption].
% 13.89/14.05  1585 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Olordered__ring_7) # label(axiom).  [assumption].
% 13.89/14.05  1586 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) # label(axiom).  [assumption].
% 13.89/14.05  1587 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Oordered__field_45) # label(axiom).  [assumption].
% 13.89/14.05  1588 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Oordered__idom_40) # label(axiom).  [assumption].
% 13.89/14.05  1589 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_23) # label(axiom).  [assumption].
% 13.89/14.05  1590 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semidom_34) # label(axiom).  [assumption].
% 13.89/14.05  1591 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_22) # label(axiom).  [assumption].
% 13.89/14.05  1592 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) # label(axiom).  [assumption].
% 13.89/14.05  1593 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_3) # label(axiom).  [assumption].
% 13.89/14.05  1594 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_8) # label(axiom).  [assumption].
% 13.89/14.05  1595 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_9) # label(axiom).  [assumption].
% 13.89/14.05  1596 -class_Ring__and__Field_Opordered__ring(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Opordered__ring_22) # label(axiom).  [assumption].
% 13.89/14.05  1597 -class_Ring__and__Field_Opordered__cancel__semiring(A) | c_lessequals(B,B,A).  [resolve(27,b,2,a)].
% 13.89/14.05  1598 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(33,a,27,b)].
% 13.89/14.05  1599 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(34,a,27,b)].
% 13.89/14.05  1600 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(35,a,27,b)].
% 13.89/14.05  1601 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(36,a,27,b)].
% 14.00/14.12  1602 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(37,a,27,b)].
% 14.00/14.12  1603 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(38,a,27,b)].
% 14.00/14.12  1604 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(39,a,27,b)].
% 14.00/14.12  1605 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(40,a,27,b)].
% 14.00/14.12  1606 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(41,a,27,b)].
% 14.00/14.12  1607 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(42,a,27,b)].
% 14.00/14.12  1608 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(71,a,93,b)].
% 14.00/14.12  1609 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(100,a,93,b)].
% 14.00/14.12  1610 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(102,a,93,b)].
% 14.00/14.12  1611 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(108,b,93,b)].
% 14.00/14.12  1612 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(109,b,93,b)].
% 14.00/14.12  1613 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(183,a,172,b)].
% 14.00/14.12  1614 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(184,a,172,b)].
% 14.00/14.12  1615 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(221,c,206,b)].
% 14.00/14.12  1616 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(222,c,206,b)].
% 14.00/14.12  1617 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(223,a,206,b)].
% 14.00/14.12  1618 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(224,a,206,b)].
% 14.00/14.12  1619 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(226,b,206,b)].
% 14.00/14.12  1620 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(227,b,206,b)].
% 14.00/14.12  1621 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(307,a,300,b)].
% 14.00/14.12  1622 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(308,a,300,b)].
% 14.00/14.12  1623 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(346,b,339,b)].
% 14.00/14.12  1624 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(380,a,369,b)].
% 14.00/14.12  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1624,b,1586,b)].
% 14.00/14.12  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1624,b,1591,b)].
% 14.00/14.12  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1624,b,1592,b)].
% 14.00/14.12  1625 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(381,a,369,b)].
% 14.29/14.39  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1625,b,1586,b)].
% 14.29/14.39  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1625,b,1591,b)].
% 14.29/14.39  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1625,b,1592,b)].
% 14.29/14.39  1626 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(386,b,369,b)].
% 14.29/14.39  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1626,b,1592,b)].
% 14.29/14.39  1627 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(389,c,369,b)].
% 14.29/14.39  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1627,c,1592,b)].
% 14.29/14.39  1628 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(390,c,369,b)].
% 14.29/14.39  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1628,c,1592,b)].
% 14.29/14.39  1629 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(391,b,369,b)].
% 14.29/14.39  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1629,b,1592,b)].
% 14.29/14.39  1630 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Orderings_Oord(A).  [resolve(1290,b,1269,a)].
% 14.29/14.39  1631 c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1557,a,1550,b)].
% 14.29/14.39  Derived: c_lessequals(A,A,tc_IntDef_Oint).  [resolve(1631,b,1583,a)].
% 14.29/14.39  Derived: c_lessequals(A,A,tc_nat).  [resolve(1631,b,1584,a)].
% 14.29/14.39  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1631,b,1585,b)].
% 14.29/14.39  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1631,b,1586,b)].
% 14.29/14.39  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1631,b,1587,b)].
% 14.29/14.39  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1631,b,1588,b)].
% 14.29/14.39  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1631,b,1589,b)].
% 14.29/14.39  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1631,b,1590,b)].
% 14.29/14.39  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1631,b,1591,b)].
% 14.29/14.39  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1631,b,1592,b)].
% 14.29/14.39  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1631,b,1596,b)].
% 14.29/14.39  1632 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1558,b,1550,b)].
% 14.29/14.39  Derived: -c_less(A,A,tc_IntDef_Oint).  [resolve(1632,b,1583,a)].
% 14.29/14.39  Derived: -c_less(A,A,tc_nat).  [resolve(1632,b,1584,a)].
% 14.29/14.39  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1632,b,1585,b)].
% 14.29/14.39  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1632,b,1586,b)].
% 14.29/14.39  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1632,b,1587,b)].
% 14.29/14.39  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1632,b,1588,b)].
% 14.29/14.39  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1632,b,1589,b)].
% 14.29/14.39  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1632,b,1590,b)].
% 14.29/14.39  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1632,b,1591,b)].
% 14.29/14.39  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1632,b,1592,b)].
% 14.29/14.39  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1632,b,1596,b)].
% 14.29/14.39  1633 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(1559,c,1550,b)].
% 14.29/14.39  Derived: -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1633,c,1583,a)].
% 14.29/14.39  Derived: -c_less(A,B,tc_nat) | c_SetInterval_OatLeastAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1633,c,1584,a)].
% 14.29/14.39  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1633,c,1585,b)].
% 14.29/14.39  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1633,c,1586,b)].
% 14.29/14.39  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1633,c,1587,b)].
% 14.29/14.39  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1633,c,1588,b)].
% 14.29/14.39  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1633,c,1589,b)].
% 14.29/14.39  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1633,c,1590,b)].
% 14.29/14.39  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1633,c,1591,b)].
% 14.29/14.39  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1633,c,1592,b)].
% 14.29/14.39  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1633,c,1596,b)].
% 14.29/14.39  1634 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1560,b,1550,b)].
% 14.29/14.39  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_IntDef_Oint) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1634,b,1583,a)].
% 14.29/14.39  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_nat) = c_insert(A,c_emptyset,tc_nat).  [resolve(1634,b,1584,a)].
% 14.29/14.39  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1634,b,1585,b)].
% 14.29/14.39  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1634,b,1586,b)].
% 14.29/14.39  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1634,b,1587,b)].
% 14.29/14.39  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1634,b,1588,b)].
% 14.29/14.39  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1634,b,1589,b)].
% 14.29/14.39  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1634,b,1590,b)].
% 14.29/14.39  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1634,b,1591,b)].
% 14.29/14.39  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1634,b,1592,b)].
% 14.29/14.39  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1634,b,1596,b)].
% 14.29/14.39  1635 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(1561,c,1550,b)].
% 14.29/14.39  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1635,c,1583,a)].
% 14.29/14.39  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OatLeastLessThan(B,A,tc_nat) = c_emptyset.  [resolve(1635,c,1584,a)].
% 14.29/14.39  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1635,c,1585,b)].
% 14.29/14.39  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1635,c,1586,b)].
% 14.29/14.39  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1635,c,1587,b)].
% 14.29/14.39  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1635,c,1588,b)].
% 14.29/14.39  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1635,c,1589,b)].
% 14.29/14.39  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1635,c,1590,b)].
% 14.29/14.39  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1635,c,1591,b)].
% 14.29/14.39  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1635,c,1592,b)].
% 14.29/14.39  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1635,c,1596,b)].
% 14.29/14.39  1636 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1562,c,1550,b)].
% 14.29/14.39  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1636,c,1583,a)].
% 14.29/14.39  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat).  [resolve(1636,c,1584,a)].
% 14.29/14.39  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1636,c,1585,b)].
% 14.29/14.39  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1636,c,1586,b)].
% 14.29/14.39  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1636,c,1587,b)].
% 14.29/14.39  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1636,c,1588,b)].
% 14.29/14.39  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1636,c,1589,b)].
% 14.29/14.39  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1636,c,1590,b)].
% 14.29/14.39  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1636,c,1591,b)].
% 14.29/14.39  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1636,c,1592,b)].
% 14.29/14.39  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1636,c,1596,b)].
% 14.29/14.39  1637 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(1563,c,1550,b)].
% 14.29/14.39  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1637,c,1583,a)].
% 14.29/14.39  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)).  [resolve(1637,c,1584,a)].
% 14.29/14.39  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1637,c,1585,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1637,c,1586,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1637,c,1587,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1637,c,1588,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1637,c,1589,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1637,c,1590,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1637,c,1591,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1637,c,1592,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1637,c,1596,b)].
% 14.29/14.40  1638 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1564,c,1550,b)].
% 14.29/14.40  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(1638,c,1583,a)].
% 14.29/14.40  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat).  [resolve(1638,c,1584,a)].
% 14.29/14.40  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1638,c,1585,b)].
% 14.29/14.40  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1638,c,1586,b)].
% 14.29/14.40  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1638,c,1587,b)].
% 14.29/14.40  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1638,c,1588,b)].
% 14.29/14.40  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1638,c,1589,b)].
% 14.29/14.40  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1638,c,1590,b)].
% 14.29/14.40  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1638,c,1591,b)].
% 14.29/14.40  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1638,c,1592,b)].
% 14.29/14.40  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1638,c,1596,b)].
% 14.29/14.40  1639 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(1565,c,1550,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1639,c,1583,a)].
% 14.29/14.40  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)).  [resolve(1639,c,1584,a)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1639,c,1585,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1639,c,1586,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1639,c,1587,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1639,c,1588,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1639,c,1589,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1639,c,1590,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1639,c,1591,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1639,c,1592,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1639,c,1596,b)].
% 14.29/14.40  1640 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__semiring(C).  [resolve(1566,c,1550,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OgreaterThanAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1640,c,1583,a)].
% 14.29/14.40  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OgreaterThanAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1640,c,1584,a)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1640,c,1585,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1640,c,1586,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1640,c,1587,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1640,c,1588,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1640,c,1589,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1640,c,1590,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1640,c,1591,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1640,c,1592,b)].
% 14.29/14.40  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1640,c,1596,b)].
% 14.29/14.40  1641 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1567,b,1550,b)].
% 14.29/14.40  Derived: c_minus(c_insert(A,c_emptyset,tc_IntDef_Oint),c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1641,b,1583,a)].
% 14.29/14.40  Derived: c_minus(c_insert(A,c_emptyset,tc_nat),c_SetInterval_OlessThan(A,tc_nat),tc_set(tc_nat)) = c_insert(A,c_emptyset,tc_nat).  [resolve(1641,b,1584,a)].
% 14.29/14.40  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1641,b,1585,b)].
% 14.29/14.40  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1641,b,1586,b)].
% 14.29/14.40  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1641,b,1587,b)].
% 14.29/14.40  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1641,b,1588,b)].
% 14.29/14.40  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1641,b,1589,b)].
% 14.29/14.40  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1641,b,1590,b)].
% 14.29/14.40  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1641,b,1591,b)].
% 14.29/14.40  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1641,b,1592,b)].
% 14.29/14.40  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1641,b,1596,b)].
% 14.29/14.40  1642 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(1570,b,1550,b)].
% 14.29/14.40  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(1642,b,1583,a)].
% 14.29/14.40  Derived: class_OrderedGroup_Osemigroup__mult(tc_nat).  [resolve(1642,b,1584,a)].
% 14.29/14.40  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1642,b,1585,b)].
% 14.29/14.40  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1642,b,1586,b)].
% 14.29/14.40  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1642,b,1587,b)].
% 14.29/14.40  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1642,b,1588,b)].
% 14.29/14.40  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1642,b,1589,b)].
% 14.29/14.40  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1642,b,1590,b)].
% 14.29/14.40  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1642,b,1591,b)].
% 14.29/14.40  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1642,b,1592,b)].
% 14.29/14.40  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1642,b,1596,b)].
% 14.29/14.40  1643 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(1575,c,1550,b)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_plus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1643,c,1583,a)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(tc_nat) | c_times(c_plus(A,B,tc_nat),c_Numeral_Onumber__of(C,tc_nat),tc_nat) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_nat),tc_nat),c_times(B,c_Numeral_Onumber__of(C,tc_nat),tc_nat),tc_nat).  [resolve(1643,c,1584,a)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1643,c,1585,b)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1643,c,1586,b)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1643,c,1587,b)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1643,c,1588,b)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1643,c,1589,b)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1643,c,1590,b)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1643,c,1591,b)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1643,c,1592,b)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1643,c,1596,b)].
% 14.29/14.40  1644 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(1576,c,1550,b)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1644,c,1583,a)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(tc_nat) | c_times(c_Numeral_Onumber__of(A,tc_nat),c_plus(B,C,tc_nat),tc_nat) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_nat),B,tc_nat),c_times(c_Numeral_Onumber__of(A,tc_nat),C,tc_nat),tc_nat).  [resolve(1644,c,1584,a)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1644,c,1585,b)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1644,c,1586,b)].
% 14.29/14.40  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1644,c,1587,b)].
% 14.29/14.41  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1644,c,1588,b)].
% 14.29/14.41  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1644,c,1589,b)].
% 14.29/14.41  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1644,c,1590,b)].
% 14.29/14.41  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1644,c,1591,b)].
% 14.29/14.41  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1644,c,1592,b)].
% 14.29/14.41  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1644,c,1596,b)].
% 14.29/14.41  1645 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1579,b,1550,b)].
% 14.29/14.41  Derived: c_plus(A,c_0,tc_IntDef_Oint) = A.  [resolve(1645,b,1583,a)].
% 14.29/14.41  Derived: c_plus(A,c_0,tc_nat) = A.  [resolve(1645,b,1584,a)].
% 14.29/14.41  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1645,b,1585,b)].
% 14.29/14.41  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1645,b,1586,b)].
% 14.29/14.41  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1645,b,1587,b)].
% 14.29/14.41  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1645,b,1588,b)].
% 14.29/14.41  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1645,b,1589,b)].
% 14.29/14.41  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1645,b,1590,b)].
% 14.29/14.41  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1645,b,1591,b)].
% 14.29/14.41  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1645,b,1592,b)].
% 14.29/14.41  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1645,b,1596,b)].
% 14.29/14.41  1646 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__semiring(B).  [resolve(1580,b,1550,b)].
% 14.29/14.41  Derived: c_plus(c_0,A,tc_IntDef_Oint) = A.  [resolve(1646,b,1583,a)].
% 14.29/14.41  Derived: c_plus(c_0,A,tc_nat) = A.  [resolve(1646,b,1584,a)].
% 14.29/14.41  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1646,b,1585,b)].
% 14.29/14.41  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1646,b,1586,b)].
% 14.29/14.41  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1646,b,1587,b)].
% 14.29/14.41  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1646,b,1588,b)].
% 14.29/14.41  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1646,b,1589,b)].
% 14.29/14.41  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1646,b,1590,b)].
% 14.29/14.41  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1646,b,1591,b)].
% 14.29/14.41  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1646,b,1592,b)].
% 14.29/14.41  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1646,b,1596,b)].
% 14.49/14.60  1647 class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A).  [resolve(1581,a,1550,b)].
% 14.49/14.60  Derived: class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1647,b,1583,a)].
% 14.49/14.60  Derived: class_Orderings_Oord(tc_nat).  [resolve(1647,b,1584,a)].
% 14.49/14.60  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1647,b,1585,b)].
% 14.49/14.60  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1647,b,1586,b)].
% 14.49/14.60  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1647,b,1587,b)].
% 14.49/14.60  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1647,b,1588,b)].
% 14.49/14.60  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1647,b,1589,b)].
% 14.49/14.60  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1647,b,1590,b)].
% 14.49/14.60  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1647,b,1591,b)].
% 14.49/14.60  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1647,b,1592,b)].
% 14.49/14.60  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1647,b,1596,b)].
% 14.49/14.60  1648 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_18) # label(axiom).  [assumption].
% 14.49/14.60  1649 class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_42) # label(axiom).  [assumption].
% 14.49/14.60  1650 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) # label(clsarity_nat_39) # label(axiom).  [assumption].
% 14.49/14.60  1651 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Oordered__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) # label(axiom).  [assumption].
% 14.49/14.60  1652 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oordered__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__field_39) # label(axiom).  [assumption].
% 14.49/14.60  1653 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oordered__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__idom_31) # label(axiom).  [assumption].
% 14.49/14.60  1654 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Oordered__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_15) # label(axiom).  [assumption].
% 14.49/14.60  1655 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Oordered__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__semidom_25) # label(axiom).  [assumption].
% 14.49/14.60  1656 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_2) # label(axiom).  [assumption].
% 14.49/14.60  1657 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_5) # label(axiom).  [assumption].
% 14.49/14.60  1658 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_6) # label(axiom).  [assumption].
% 14.49/14.60  1659 -class_Ring__and__Field_Oordered__semiring__strict(A) | c_lessequals(B,B,A).  [resolve(25,b,2,a)].
% 14.49/14.60  1660 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(33,a,25,b)].
% 14.49/14.60  1661 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(34,a,25,b)].
% 14.49/14.60  1662 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(35,a,25,b)].
% 14.49/14.60  1663 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(36,a,25,b)].
% 14.49/14.60  1664 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(37,a,25,b)].
% 14.49/14.66  1665 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(38,a,25,b)].
% 14.49/14.66  1666 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(39,a,25,b)].
% 14.49/14.66  1667 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(40,a,25,b)].
% 14.49/14.66  1668 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(41,a,25,b)].
% 14.49/14.66  1669 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(42,a,25,b)].
% 14.49/14.66  1670 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(71,a,91,b)].
% 14.49/14.66  1671 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(100,a,91,b)].
% 14.49/14.66  1672 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(102,a,91,b)].
% 14.49/14.66  1673 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(108,b,91,b)].
% 14.49/14.66  1674 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(109,b,91,b)].
% 14.49/14.66  1675 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(183,a,170,b)].
% 14.49/14.66  1676 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(184,a,170,b)].
% 14.49/14.66  1677 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(221,c,204,b)].
% 14.49/14.66  1678 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(222,c,204,b)].
% 14.49/14.66  1679 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(223,a,204,b)].
% 14.49/14.66  1680 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(224,a,204,b)].
% 14.49/14.66  1681 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(226,b,204,b)].
% 14.49/14.66  1682 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(227,b,204,b)].
% 14.49/14.66  1683 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(307,a,298,b)].
% 14.49/14.66  1684 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(308,a,298,b)].
% 14.49/14.66  1685 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(346,b,337,b)].
% 14.49/14.66  1686 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(380,a,367,b)].
% 14.49/14.66  1687 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(381,a,367,b)].
% 14.49/14.66  1688 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(386,b,367,b)].
% 14.49/14.66  1689 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(389,c,367,b)].
% 14.49/14.66  1690 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(390,c,367,b)].
% 14.49/14.66  1691 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(391,b,367,b)].
% 14.65/14.78  1692 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1087,a,1085,b)].
% 14.65/14.78  1693 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1089,b,1085,b)].
% 14.65/14.78  1694 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1118,a,1116,b)].
% 14.65/14.78  1695 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1161,b,1146,b)].
% 14.65/14.78  1696 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1163,b,1146,b)].
% 14.65/14.78  1697 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1164,c,1146,b)].
% 14.65/14.78  1698 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1165,b,1146,b)].
% 14.65/14.78  1699 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1166,c,1146,b)].
% 14.65/14.78  1700 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1167,c,1146,b)].
% 14.65/14.78  1701 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1168,c,1146,b)].
% 14.65/14.78  1702 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1169,c,1146,b)].
% 14.65/14.78  1703 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1170,c,1146,b)].
% 14.65/14.78  1704 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1171,c,1146,b)].
% 14.65/14.78  1705 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1172,b,1146,b)].
% 14.65/14.78  1706 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1185,a,1183,b)].
% 14.65/14.78  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1706,e,1651,b)].
% 14.65/14.78  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1706,e,1652,b)].
% 14.65/14.78  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1706,e,1653,b)].
% 14.65/14.78  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1706,e,1654,b)].
% 14.65/14.78  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1706,e,1655,b)].
% 14.65/14.78  1707 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1186,a,1183,b)].
% 14.65/14.78  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1707,d,1651,b)].
% 14.65/14.78  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1707,d,1652,b)].
% 14.65/14.78  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1707,d,1653,b)].
% 14.65/14.79  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1707,d,1654,b)].
% 14.65/14.79  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1707,d,1655,b)].
% 14.65/14.79  1708 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1187,a,1183,b)].
% 14.65/14.79  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1708,d,1651,b)].
% 14.65/14.79  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1708,d,1652,b)].
% 14.65/14.79  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1708,d,1653,b)].
% 14.65/14.79  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1708,d,1654,b)].
% 14.65/14.79  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1708,d,1655,b)].
% 14.65/14.79  1709 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1188,a,1183,b)].
% 14.65/14.79  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1709,f,1651,b)].
% 14.65/14.79  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1709,f,1652,b)].
% 14.65/14.79  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1709,f,1653,b)].
% 14.65/14.79  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1709,f,1654,b)].
% 14.65/14.79  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1709,f,1655,b)].
% 14.65/14.79  1710 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1189,a,1183,b)].
% 14.65/14.79  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1710,e,1651,b)].
% 14.65/14.79  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1710,e,1652,b)].
% 14.65/14.79  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1710,e,1653,b)].
% 14.65/14.80  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1710,e,1654,b)].
% 14.65/14.80  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1710,e,1655,b)].
% 14.65/14.80  1711 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1190,a,1183,b)].
% 14.65/14.80  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1711,e,1651,b)].
% 14.65/14.80  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1711,e,1652,b)].
% 14.65/14.80  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1711,e,1653,b)].
% 14.65/14.80  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1711,e,1654,b)].
% 14.65/14.80  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1711,e,1655,b)].
% 14.65/14.80  1712 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1191,a,1183,b)].
% 14.65/14.80  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1712,f,1651,b)].
% 14.65/14.80  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1712,f,1652,b)].
% 14.65/14.80  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1712,f,1653,b)].
% 14.65/14.80  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1712,f,1654,b)].
% 14.65/14.80  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1712,f,1655,b)].
% 14.65/14.80  1713 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1192,a,1183,b)].
% 14.65/14.80  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1713,e,1651,b)].
% 14.65/14.80  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1713,e,1652,b)].
% 14.65/14.80  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1713,e,1653,b)].
% 14.65/14.81  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1713,e,1654,b)].
% 14.65/14.81  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1713,e,1655,b)].
% 14.65/14.81  1714 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1193,a,1183,b)].
% 14.65/14.81  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1714,e,1651,b)].
% 14.65/14.81  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1714,e,1652,b)].
% 14.65/14.81  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1714,e,1653,b)].
% 14.65/14.81  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1714,e,1654,b)].
% 14.65/14.81  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1714,e,1655,b)].
% 14.65/14.81  1715 c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1194,a,1183,b)].
% 14.65/14.81  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1715,b,1651,b)].
% 14.65/14.81  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1715,b,1652,b)].
% 14.65/14.81  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1715,b,1653,b)].
% 14.65/14.81  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1715,b,1654,b)].
% 14.65/14.81  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1715,b,1655,b)].
% 14.65/14.81  1716 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1195,a,1183,b)].
% 14.65/14.81  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1716,f,1651,b)].
% 14.65/14.81  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1716,f,1652,b)].
% 14.65/14.81  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1716,f,1653,b)].
% 14.65/14.81  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1716,f,1654,b)].
% 14.65/14.81  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1716,f,1655,b)].
% 14.72/14.82  1717 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1196,a,1183,b)].
% 14.72/14.82  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1717,e,1651,b)].
% 14.72/14.82  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1717,e,1652,b)].
% 14.72/14.82  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1717,e,1653,b)].
% 14.72/14.82  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1717,e,1654,b)].
% 14.72/14.82  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1717,e,1655,b)].
% 14.72/14.82  1718 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1197,a,1183,b)].
% 14.72/14.82  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1718,e,1651,b)].
% 14.72/14.82  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1718,e,1652,b)].
% 14.72/14.82  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1718,e,1653,b)].
% 14.72/14.82  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1718,e,1654,b)].
% 14.72/14.82  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1718,e,1655,b)].
% 14.72/14.82  1719 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1198,a,1183,b)].
% 14.72/14.82  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1719,f,1651,b)].
% 14.72/14.82  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1719,f,1652,b)].
% 14.72/14.82  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1719,f,1653,b)].
% 14.72/14.82  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1719,f,1654,b)].
% 14.72/14.82  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1719,f,1655,b)].
% 14.72/14.83  1720 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1199,a,1183,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1720,e,1651,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1720,e,1652,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1720,e,1653,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1720,e,1654,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1720,e,1655,b)].
% 14.72/14.83  1721 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1200,a,1183,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1721,e,1651,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1721,e,1652,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1721,e,1653,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1721,e,1654,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1721,e,1655,b)].
% 14.72/14.83  1722 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1201,a,1183,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1722,d,1651,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1722,d,1652,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1722,d,1653,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1722,d,1654,b)].
% 14.72/14.83  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1722,d,1655,b)].
% 14.72/14.83  1723 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1202,a,1183,b)].
% 14.72/14.84  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1723,d,1651,b)].
% 14.72/14.84  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1723,d,1652,b)].
% 14.72/14.84  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1723,d,1653,b)].
% 14.72/14.84  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1723,d,1654,b)].
% 14.72/14.84  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1723,d,1655,b)].
% 14.72/14.84  1724 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1203,a,1183,b)].
% 14.72/14.84  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1724,e,1651,b)].
% 14.72/14.84  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1724,e,1652,b)].
% 14.72/14.84  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1724,e,1653,b)].
% 14.72/14.84  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1724,e,1654,b)].
% 14.72/14.84  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1724,e,1655,b)].
% 14.72/14.84  1725 c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1204,a,1183,b)].
% 14.72/14.84  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1725,b,1651,b)].
% 14.72/14.84  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1725,b,1652,b)].
% 14.72/14.84  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1725,b,1653,b)].
% 14.72/14.84  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1725,b,1654,b)].
% 14.72/14.84  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1725,b,1655,b)].
% 14.72/14.84  1726 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1205,a,1183,b)].
% 14.72/14.84  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1726,d,1651,b)].
% 14.72/14.84  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(1726,d,1652,b)].
% 14.72/14.84  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1726,d,1653,b)].
% 14.72/14.85  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1726,d,1654,b)].
% 14.72/14.85  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1726,d,1655,b)].
% 14.72/14.85  1727 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1206,a,1183,b)].
% 14.72/14.85  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1727,e,1651,b)].
% 14.72/14.85  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__field(C).  [resolve(1727,e,1652,b)].
% 14.72/14.85  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1727,e,1653,b)].
% 14.72/14.85  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1727,e,1654,b)].
% 14.72/14.85  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1727,e,1655,b)].
% 14.72/14.85  1728 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1207,a,1183,b)].
% 14.72/14.85  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1728,e,1651,b)].
% 14.72/14.85  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__field(C).  [resolve(1728,e,1652,b)].
% 14.72/14.85  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1728,e,1653,b)].
% 14.72/14.85  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1728,e,1654,b)].
% 14.72/14.85  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1728,e,1655,b)].
% 14.72/14.85  1729 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1208,b,1183,b)].
% 14.72/14.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1729,d,1651,b)].
% 14.72/14.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1729,d,1652,b)].
% 14.72/14.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1729,d,1653,b)].
% 14.72/14.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1729,d,1654,b)].
% 14.72/14.85  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1729,d,1655,b)].
% 14.72/14.86  1730 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1209,b,1183,b)].
% 14.72/14.86  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1730,d,1651,b)].
% 14.72/14.86  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1730,d,1652,b)].
% 14.72/14.86  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1730,d,1653,b)].
% 14.72/14.86  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1730,d,1654,b)].
% 14.72/14.86  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1730,d,1655,b)].
% 14.72/14.86  1731 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1210,a,1183,b)].
% 14.72/14.86  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1731,c,1651,b)].
% 14.72/14.86  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1731,c,1652,b)].
% 14.72/14.86  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1731,c,1653,b)].
% 14.72/14.86  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1731,c,1654,b)].
% 14.72/14.86  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1731,c,1655,b)].
% 14.72/14.86  1732 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1211,a,1183,b)].
% 14.72/14.86  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1732,c,1651,b)].
% 14.72/14.86  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1732,c,1652,b)].
% 14.72/14.86  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1732,c,1653,b)].
% 14.72/14.86  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1732,c,1654,b)].
% 14.72/14.86  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1732,c,1655,b)].
% 14.72/14.86  1733 -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1212,a,1183,b)].
% 14.72/14.86  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1733,d,1651,b)].
% 14.72/14.86  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1733,d,1652,b)].
% 14.72/14.86  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1733,d,1653,b)].
% 14.72/14.86  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1733,d,1654,b)].
% 14.72/14.86  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1733,d,1655,b)].
% 14.72/14.86  1734 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__semiring__strict(D).  [resolve(1213,a,1183,b)].
% 14.72/14.86  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1734,c,1651,b)].
% 14.72/14.86  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(1734,c,1652,b)].
% 14.79/14.87  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1734,c,1653,b)].
% 14.79/14.87  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1734,c,1654,b)].
% 14.79/14.87  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1734,c,1655,b)].
% 14.79/14.87  1735 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__semiring__strict(D).  [resolve(1214,a,1183,b)].
% 14.79/14.87  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1735,c,1651,b)].
% 14.79/14.87  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(1735,c,1652,b)].
% 14.79/14.87  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1735,c,1653,b)].
% 14.79/14.87  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1735,c,1654,b)].
% 14.79/14.87  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1735,c,1655,b)].
% 14.79/14.87  1736 -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1215,a,1183,b)].
% 14.79/14.87  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1736,d,1651,b)].
% 14.79/14.87  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1736,d,1652,b)].
% 14.79/14.87  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1736,d,1653,b)].
% 14.79/14.87  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1736,d,1654,b)].
% 14.79/14.87  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1736,d,1655,b)].
% 14.79/14.87  1737 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__semiring__strict(D).  [resolve(1216,a,1183,b)].
% 14.79/14.87  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1737,c,1651,b)].
% 14.79/14.87  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(1737,c,1652,b)].
% 14.79/14.87  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1737,c,1653,b)].
% 14.79/14.87  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1737,c,1654,b)].
% 14.79/14.87  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1737,c,1655,b)].
% 14.79/14.87  1738 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__semiring__strict(D).  [resolve(1217,a,1183,b)].
% 14.79/14.87  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1738,c,1651,b)].
% 14.79/14.87  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(1738,c,1652,b)].
% 14.79/14.87  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1738,c,1653,b)].
% 14.79/14.87  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1738,c,1654,b)].
% 14.79/14.87  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1738,c,1655,b)].
% 14.79/14.88  1739 -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1218,a,1183,b)].
% 14.79/14.88  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1739,d,1651,b)].
% 14.79/14.88  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1739,d,1652,b)].
% 14.79/14.88  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1739,d,1653,b)].
% 14.79/14.88  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1739,d,1654,b)].
% 14.79/14.88  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1739,d,1655,b)].
% 14.79/14.88  1740 c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1219,a,1183,b)].
% 14.79/14.88  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1740,b,1651,b)].
% 14.79/14.88  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1740,b,1652,b)].
% 14.79/14.88  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1740,b,1653,b)].
% 14.79/14.88  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1740,b,1654,b)].
% 14.79/14.88  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1740,b,1655,b)].
% 14.79/14.88  1741 c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1220,a,1183,b)].
% 14.79/14.88  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1741,b,1651,b)].
% 14.79/14.88  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1741,b,1652,b)].
% 14.79/14.88  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1741,b,1653,b)].
% 14.79/14.88  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1741,b,1654,b)].
% 14.79/14.88  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1741,b,1655,b)].
% 14.79/14.88  1742 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1221,a,1183,b)].
% 14.79/14.88  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1742,c,1651,b)].
% 14.79/14.88  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1742,c,1652,b)].
% 14.79/14.88  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1742,c,1653,b)].
% 14.79/14.88  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1742,c,1654,b)].
% 14.79/14.88  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1742,c,1655,b)].
% 14.79/14.88  1743 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1222,a,1183,b)].
% 14.79/14.88  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1743,c,1651,b)].
% 14.79/14.88  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1743,c,1652,b)].
% 14.79/14.89  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1743,c,1653,b)].
% 14.79/14.89  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1743,c,1654,b)].
% 14.79/14.89  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1743,c,1655,b)].
% 14.79/14.89  1744 -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1223,a,1183,b)].
% 14.79/14.89  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1744,d,1651,b)].
% 14.79/14.89  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1744,d,1652,b)].
% 14.79/14.89  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1744,d,1653,b)].
% 14.79/14.89  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1744,d,1654,b)].
% 14.79/14.89  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1744,d,1655,b)].
% 14.79/14.89  1745 c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1224,a,1183,b)].
% 14.79/14.89  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1745,b,1651,b)].
% 14.79/14.89  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1745,b,1652,b)].
% 14.79/14.89  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1745,b,1653,b)].
% 14.79/14.89  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1745,b,1654,b)].
% 14.79/14.89  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1745,b,1655,b)].
% 14.79/14.89  1746 c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1225,a,1183,b)].
% 14.79/14.89  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1746,b,1651,b)].
% 14.79/14.89  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1746,b,1652,b)].
% 14.79/14.89  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1746,b,1653,b)].
% 14.79/14.89  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1746,b,1654,b)].
% 14.79/14.89  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1746,b,1655,b)].
% 14.79/14.89  1747 c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1226,a,1183,b)].
% 14.79/14.89  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1747,b,1651,b)].
% 14.79/14.89  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1747,b,1652,b)].
% 14.79/14.89  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1747,b,1653,b)].
% 14.79/14.89  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1747,b,1654,b)].
% 14.79/14.89  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1747,b,1655,b)].
% 14.79/14.90  1748 c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1227,a,1183,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1748,b,1651,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1748,b,1652,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1748,b,1653,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1748,b,1654,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1748,b,1655,b)].
% 14.79/14.90  1749 c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1228,a,1183,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1749,b,1651,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1749,b,1652,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1749,b,1653,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1749,b,1654,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1749,b,1655,b)].
% 14.79/14.90  1750 c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1229,a,1183,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1750,b,1651,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1750,b,1652,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1750,b,1653,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1750,b,1654,b)].
% 14.79/14.90  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1750,b,1655,b)].
% 14.79/14.90  1751 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1230,a,1183,b)].
% 14.79/14.90  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1751,c,1651,b)].
% 14.79/14.90  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(1751,c,1652,b)].
% 14.79/14.90  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1751,c,1653,b)].
% 14.79/14.90  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1751,c,1654,b)].
% 14.79/14.90  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1751,c,1655,b)].
% 14.79/14.90  1752 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1231,a,1183,b)].
% 14.79/14.91  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1752,c,1651,b)].
% 14.79/14.91  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(1752,c,1652,b)].
% 14.79/14.91  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1752,c,1653,b)].
% 14.79/14.91  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1752,c,1654,b)].
% 14.79/14.91  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1752,c,1655,b)].
% 14.79/14.91  1753 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1232,a,1183,b)].
% 14.79/14.91  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1753,c,1651,b)].
% 14.79/14.91  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(1753,c,1652,b)].
% 14.79/14.91  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1753,c,1653,b)].
% 14.79/14.91  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1753,c,1654,b)].
% 14.79/14.91  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1753,c,1655,b)].
% 14.79/14.91  1754 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1233,a,1183,b)].
% 14.79/14.91  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1754,c,1651,b)].
% 14.79/14.91  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1754,c,1652,b)].
% 14.79/14.91  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1754,c,1653,b)].
% 14.79/14.91  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1754,c,1654,b)].
% 14.79/14.91  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1754,c,1655,b)].
% 14.79/14.91  1755 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1234,a,1183,b)].
% 14.79/14.91  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1755,c,1651,b)].
% 14.79/14.91  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1755,c,1652,b)].
% 14.79/14.91  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1755,c,1653,b)].
% 14.79/14.91  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1755,c,1654,b)].
% 14.79/14.91  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1755,c,1655,b)].
% 14.79/14.92  1756 -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1235,a,1183,b)].
% 14.79/14.92  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1756,c,1651,b)].
% 14.79/14.92  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1756,c,1652,b)].
% 14.79/14.92  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1756,c,1653,b)].
% 14.79/14.92  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1756,c,1654,b)].
% 14.79/14.92  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1756,c,1655,b)].
% 14.79/14.92  1757 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1236,a,1183,b)].
% 14.79/14.92  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1757,d,1651,b)].
% 14.79/14.92  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1757,d,1652,b)].
% 14.79/14.92  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1757,d,1653,b)].
% 14.79/14.92  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1757,d,1654,b)].
% 14.79/14.92  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1757,d,1655,b)].
% 14.79/14.92  1758 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1237,a,1183,b)].
% 14.79/14.92  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1758,d,1651,b)].
% 14.79/14.92  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1758,d,1652,b)].
% 14.79/14.92  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1758,d,1653,b)].
% 14.79/14.92  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1758,d,1654,b)].
% 14.79/14.93  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1758,d,1655,b)].
% 14.79/14.93  1759 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1238,a,1183,b)].
% 14.79/14.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1759,c,1651,b)].
% 14.79/14.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1759,c,1652,b)].
% 14.79/14.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1759,c,1653,b)].
% 14.79/14.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1759,c,1654,b)].
% 14.79/14.93  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1759,c,1655,b)].
% 14.79/14.93  1760 -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1239,a,1183,b)].
% 14.79/14.93  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1760,d,1651,b)].
% 14.79/14.93  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1760,d,1652,b)].
% 14.79/14.93  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1760,d,1653,b)].
% 14.79/14.93  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1760,d,1654,b)].
% 14.79/14.93  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1760,d,1655,b)].
% 14.79/14.93  1761 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1240,a,1183,b)].
% 14.79/14.93  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1761,c,1651,b)].
% 14.79/14.93  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(1761,c,1652,b)].
% 14.79/14.93  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1761,c,1653,b)].
% 14.79/14.93  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1761,c,1654,b)].
% 14.79/14.93  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1761,c,1655,b)].
% 14.79/14.93  1762 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1241,a,1183,b)].
% 14.79/14.93  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1762,c,1651,b)].
% 14.79/14.95  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1762,c,1652,b)].
% 14.79/14.95  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1762,c,1653,b)].
% 14.79/14.95  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1762,c,1654,b)].
% 14.79/14.95  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1762,c,1655,b)].
% 14.79/14.95  1763 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1242,a,1183,b)].
% 14.79/14.95  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1763,c,1651,b)].
% 14.79/14.95  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1763,c,1652,b)].
% 14.79/14.95  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1763,c,1653,b)].
% 14.79/14.95  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1763,c,1654,b)].
% 14.79/14.95  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1763,c,1655,b)].
% 14.79/14.95  1764 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1258,b,1183,b)].
% 14.79/14.95  1765 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1362,a,1360,b)].
% 14.79/14.95  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1765,c,1651,b)].
% 14.79/14.95  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1765,c,1652,b)].
% 14.79/14.95  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1765,c,1653,b)].
% 14.79/14.95  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1765,c,1654,b)].
% 14.79/14.95  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1765,c,1655,b)].
% 14.79/14.95  1766 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1363,a,1360,b)].
% 14.79/14.95  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1766,c,1651,b)].
% 14.79/14.95  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1766,c,1652,b)].
% 14.79/14.95  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1766,c,1653,b)].
% 14.79/14.95  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1766,c,1654,b)].
% 14.79/14.95  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1766,c,1655,b)].
% 14.79/14.95  1767 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1364,a,1360,b)].
% 14.88/14.96  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1767,c,1651,b)].
% 14.88/14.96  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1767,c,1652,b)].
% 14.88/14.96  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1767,c,1653,b)].
% 14.88/14.96  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1767,c,1654,b)].
% 14.88/14.96  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1767,c,1655,b)].
% 14.88/14.96  1768 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1365,a,1360,b)].
% 14.88/14.96  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1768,c,1651,b)].
% 14.88/14.96  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1768,c,1652,b)].
% 14.88/14.96  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1768,c,1653,b)].
% 14.88/14.96  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1768,c,1654,b)].
% 14.88/14.96  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1768,c,1655,b)].
% 14.88/14.96  1769 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1366,a,1360,b)].
% 14.88/14.96  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1769,c,1651,b)].
% 14.88/14.96  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1769,c,1652,b)].
% 14.88/14.96  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1769,c,1653,b)].
% 14.88/14.96  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1769,c,1654,b)].
% 14.88/14.96  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1769,c,1655,b)].
% 14.88/14.96  1770 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1367,a,1360,b)].
% 14.88/14.96  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1770,c,1651,b)].
% 14.88/14.96  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1770,c,1652,b)].
% 14.88/14.96  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1770,c,1653,b)].
% 14.88/14.96  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1770,c,1654,b)].
% 14.88/14.96  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1770,c,1655,b)].
% 14.88/14.96  1771 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1368,a,1360,b)].
% 14.88/14.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1771,c,1651,b)].
% 14.88/14.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1771,c,1652,b)].
% 14.88/14.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1771,c,1653,b)].
% 14.88/14.96  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1771,c,1654,b)].
% 14.91/15.00  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1771,c,1655,b)].
% 14.91/15.00  1772 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1369,a,1360,b)].
% 14.91/15.00  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1772,c,1651,b)].
% 14.91/15.00  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1772,c,1652,b)].
% 14.91/15.00  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1772,c,1653,b)].
% 14.91/15.00  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1772,c,1654,b)].
% 14.91/15.00  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1772,c,1655,b)].
% 14.91/15.00  1773 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1385,b,1360,b)].
% 14.91/15.00  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1773,b,1651,b)].
% 14.91/15.00  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1773,b,1652,b)].
% 14.91/15.00  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1773,b,1653,b)].
% 14.91/15.00  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1773,b,1654,b)].
% 14.91/15.00  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1773,b,1655,b)].
% 14.91/15.00  1774 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1386,b,1360,b)].
% 14.91/15.00  1775 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1387,b,1360,b)].
% 14.91/15.00  1776 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1388,b,1360,b)].
% 14.91/15.00  1777 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1389,c,1360,b)].
% 14.91/15.00  1778 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1390,b,1360,b)].
% 14.91/15.00  1779 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1391,c,1360,b)].
% 14.91/15.00  1780 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1392,c,1360,b)].
% 14.91/15.00  1781 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1393,c,1360,b)].
% 14.91/15.00  1782 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1394,c,1360,b)].
% 14.91/15.00  1783 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1395,c,1360,b)].
% 14.91/15.00  1784 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1396,c,1360,b)].
% 14.91/15.00  1785 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1397,b,1360,b)].
% 14.91/15.00  1786 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1398,c,1360,b)].
% 14.91/15.00  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1786,c,1651,b)].
% 14.91/15.00  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(1786,c,1652,b)].
% 14.97/15.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1786,c,1653,b)].
% 14.97/15.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1786,c,1654,b)].
% 14.97/15.04  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1786,c,1655,b)].
% 14.97/15.04  1787 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1399,c,1360,b)].
% 14.97/15.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1787,c,1651,b)].
% 14.97/15.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(1787,c,1652,b)].
% 14.97/15.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1787,c,1653,b)].
% 14.97/15.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1787,c,1654,b)].
% 14.97/15.04  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1787,c,1655,b)].
% 14.97/15.04  1788 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1498,b,1410,b)].
% 14.97/15.04  Derived: c_LOrder_Omeet(A,A,tc_IntDef_Oint) = A.  [resolve(1788,b,1649,a)].
% 14.97/15.04  Derived: c_LOrder_Omeet(A,A,tc_nat) = A.  [resolve(1788,b,1650,a)].
% 14.97/15.04  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1788,b,1651,b)].
% 14.97/15.04  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1788,b,1652,b)].
% 14.97/15.04  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1788,b,1653,b)].
% 14.97/15.04  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1788,b,1654,b)].
% 14.97/15.04  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1788,b,1655,b)].
% 14.97/15.04  1789 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1499,b,1410,b)].
% 14.97/15.04  Derived: c_LOrder_Ojoin(A,A,tc_IntDef_Oint) = A.  [resolve(1789,b,1649,a)].
% 14.97/15.04  Derived: c_LOrder_Ojoin(A,A,tc_nat) = A.  [resolve(1789,b,1650,a)].
% 14.97/15.04  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1789,b,1651,b)].
% 14.97/15.04  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1789,b,1652,b)].
% 14.97/15.04  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1789,b,1653,b)].
% 14.97/15.04  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1789,b,1654,b)].
% 14.97/15.04  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1789,b,1655,b)].
% 14.97/15.04  1790 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1523,b,1410,b)].
% 14.97/15.04  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(1790,b,1649,a)].
% 14.97/15.04  Derived: class_OrderedGroup_Osemigroup__add(tc_nat).  [resolve(1790,b,1650,a)].
% 14.97/15.04  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1790,b,1651,b)].
% 14.97/15.04  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1790,b,1652,b)].
% 14.97/15.04  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1790,b,1653,b)].
% 14.97/15.04  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1790,b,1654,b)].
% 14.97/15.04  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1790,b,1655,b)].
% 14.97/15.04  1791 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1570,b,1548,b)].
% 14.97/15.04  1792 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1575,c,1548,b)].
% 14.97/15.05  1793 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1576,c,1548,b)].
% 14.97/15.05  1794 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1579,b,1548,b)].
% 14.97/15.05  1795 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1580,b,1548,b)].
% 14.97/15.05  1796 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1624,b,1591,b)].
% 14.97/15.05  Derived: c_times(c_0,A,tc_IntDef_Oint) = c_0.  [resolve(1796,b,1649,a)].
% 14.97/15.05  Derived: c_times(c_0,A,tc_nat) = c_0.  [resolve(1796,b,1650,a)].
% 14.97/15.05  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1796,b,1651,b)].
% 14.97/15.05  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(1796,b,1652,b)].
% 14.97/15.05  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1796,b,1653,b)].
% 14.97/15.05  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1796,b,1654,b)].
% 14.97/15.05  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1796,b,1655,b)].
% 14.97/15.05  1797 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1625,b,1591,b)].
% 14.97/15.05  Derived: c_times(A,c_0,tc_IntDef_Oint) = c_0.  [resolve(1797,b,1649,a)].
% 14.97/15.05  Derived: c_times(A,c_0,tc_nat) = c_0.  [resolve(1797,b,1650,a)].
% 14.97/15.05  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1797,b,1651,b)].
% 14.97/15.05  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(1797,b,1652,b)].
% 14.97/15.05  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1797,b,1653,b)].
% 14.97/15.05  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1797,b,1654,b)].
% 14.97/15.05  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1797,b,1655,b)].
% 14.97/15.05  1798 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1631,b,1591,b)].
% 14.97/15.05  Derived: c_lessequals(A,A,tc_IntDef_Oint).  [resolve(1798,b,1649,a)].
% 14.97/15.05  Derived: c_lessequals(A,A,tc_nat).  [resolve(1798,b,1650,a)].
% 14.97/15.05  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1798,b,1651,b)].
% 14.97/15.05  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1798,b,1652,b)].
% 14.97/15.05  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1798,b,1653,b)].
% 14.97/15.05  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1798,b,1654,b)].
% 14.97/15.05  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1798,b,1655,b)].
% 14.97/15.05  1799 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1632,b,1591,b)].
% 14.97/15.05  Derived: -c_less(A,A,tc_IntDef_Oint).  [resolve(1799,b,1649,a)].
% 14.97/15.05  Derived: -c_less(A,A,tc_nat).  [resolve(1799,b,1650,a)].
% 14.97/15.05  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1799,b,1651,b)].
% 14.97/15.05  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1799,b,1652,b)].
% 14.97/15.05  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1799,b,1653,b)].
% 14.97/15.05  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1799,b,1654,b)].
% 14.97/15.05  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1799,b,1655,b)].
% 14.97/15.05  1800 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1633,c,1591,b)].
% 14.97/15.05  Derived: -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1800,c,1649,a)].
% 14.97/15.05  Derived: -c_less(A,B,tc_nat) | c_SetInterval_OatLeastAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1800,c,1650,a)].
% 14.97/15.05  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1800,c,1651,b)].
% 14.97/15.06  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1800,c,1652,b)].
% 14.97/15.06  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1800,c,1653,b)].
% 14.97/15.06  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1800,c,1654,b)].
% 14.97/15.06  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1800,c,1655,b)].
% 14.97/15.06  1801 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1634,b,1591,b)].
% 14.97/15.06  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_IntDef_Oint) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1801,b,1649,a)].
% 14.97/15.06  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_nat) = c_insert(A,c_emptyset,tc_nat).  [resolve(1801,b,1650,a)].
% 14.97/15.06  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1801,b,1651,b)].
% 14.97/15.06  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1801,b,1652,b)].
% 14.97/15.06  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1801,b,1653,b)].
% 14.97/15.06  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1801,b,1654,b)].
% 14.97/15.06  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1801,b,1655,b)].
% 14.97/15.06  1802 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1635,c,1591,b)].
% 14.97/15.06  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1802,c,1649,a)].
% 14.97/15.06  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OatLeastLessThan(B,A,tc_nat) = c_emptyset.  [resolve(1802,c,1650,a)].
% 14.97/15.06  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1802,c,1651,b)].
% 14.97/15.06  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1802,c,1652,b)].
% 14.97/15.06  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1802,c,1653,b)].
% 14.97/15.06  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1802,c,1654,b)].
% 14.97/15.06  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1802,c,1655,b)].
% 14.97/15.06  1803 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1636,c,1591,b)].
% 14.97/15.06  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(1803,c,1649,a)].
% 14.97/15.06  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat).  [resolve(1803,c,1650,a)].
% 14.97/15.06  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1803,c,1651,b)].
% 14.97/15.06  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1803,c,1652,b)].
% 14.97/15.06  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1803,c,1653,b)].
% 14.97/15.07  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1803,c,1654,b)].
% 14.97/15.07  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1803,c,1655,b)].
% 14.97/15.07  1804 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1637,c,1591,b)].
% 14.97/15.07  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1804,c,1649,a)].
% 14.97/15.07  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)).  [resolve(1804,c,1650,a)].
% 14.97/15.07  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1804,c,1651,b)].
% 14.97/15.07  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1804,c,1652,b)].
% 14.97/15.07  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1804,c,1653,b)].
% 14.97/15.07  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1804,c,1654,b)].
% 14.97/15.07  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1804,c,1655,b)].
% 14.97/15.07  1805 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1638,c,1591,b)].
% 14.97/15.07  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(1805,c,1649,a)].
% 14.97/15.07  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat).  [resolve(1805,c,1650,a)].
% 14.97/15.07  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1805,c,1651,b)].
% 14.97/15.07  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1805,c,1652,b)].
% 14.97/15.07  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1805,c,1653,b)].
% 14.97/15.07  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1805,c,1654,b)].
% 14.97/15.07  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1805,c,1655,b)].
% 14.97/15.07  1806 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1639,c,1591,b)].
% 14.97/15.07  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(1806,c,1649,a)].
% 14.97/15.07  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)).  [resolve(1806,c,1650,a)].
% 14.97/15.07  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1806,c,1651,b)].
% 14.97/15.08  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(1806,c,1652,b)].
% 14.97/15.08  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1806,c,1653,b)].
% 14.97/15.08  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1806,c,1654,b)].
% 14.97/15.08  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1806,c,1655,b)].
% 14.97/15.08  1807 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semiring__strict(C).  [resolve(1640,c,1591,b)].
% 14.97/15.08  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OgreaterThanAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(1807,c,1649,a)].
% 14.97/15.08  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OgreaterThanAtMost(B,A,tc_nat) = c_emptyset.  [resolve(1807,c,1650,a)].
% 14.97/15.08  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1807,c,1651,b)].
% 14.97/15.08  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(1807,c,1652,b)].
% 14.97/15.08  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1807,c,1653,b)].
% 14.97/15.08  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1807,c,1654,b)].
% 14.97/15.08  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1807,c,1655,b)].
% 14.97/15.08  1808 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1641,b,1591,b)].
% 14.97/15.08  Derived: c_minus(c_insert(A,c_emptyset,tc_IntDef_Oint),c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(1808,b,1649,a)].
% 14.97/15.08  Derived: c_minus(c_insert(A,c_emptyset,tc_nat),c_SetInterval_OlessThan(A,tc_nat),tc_set(tc_nat)) = c_insert(A,c_emptyset,tc_nat).  [resolve(1808,b,1650,a)].
% 14.97/15.08  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1808,b,1651,b)].
% 14.97/15.08  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(1808,b,1652,b)].
% 14.97/15.08  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1808,b,1653,b)].
% 14.97/15.08  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1808,b,1654,b)].
% 14.97/15.08  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1808,b,1655,b)].
% 14.97/15.08  1809 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1642,b,1591,b)].
% 14.97/15.08  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(1809,b,1649,a)].
% 14.97/15.08  Derived: class_OrderedGroup_Osemigroup__mult(tc_nat).  [resolve(1809,b,1650,a)].
% 14.97/15.08  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1809,b,1651,b)].
% 14.97/15.08  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1809,b,1652,b)].
% 14.97/15.08  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1809,b,1653,b)].
% 14.97/15.08  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1809,b,1654,b)].
% 14.97/15.08  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1809,b,1655,b)].
% 14.97/15.08  1810 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1643,c,1591,b)].
% 14.97/15.08  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_plus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1810,c,1649,a)].
% 14.97/15.08  Derived: -class_Numeral_Onumber(tc_nat) | c_times(c_plus(A,B,tc_nat),c_Numeral_Onumber__of(C,tc_nat),tc_nat) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_nat),tc_nat),c_times(B,c_Numeral_Onumber__of(C,tc_nat),tc_nat),tc_nat).  [resolve(1810,c,1650,a)].
% 14.97/15.08  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1810,c,1651,b)].
% 14.97/15.08  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1810,c,1652,b)].
% 14.97/15.08  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1810,c,1653,b)].
% 14.97/15.08  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1810,c,1654,b)].
% 14.97/15.08  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1810,c,1655,b)].
% 14.97/15.08  1811 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1644,c,1591,b)].
% 14.97/15.08  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(1811,c,1649,a)].
% 14.97/15.08  Derived: -class_Numeral_Onumber(tc_nat) | c_times(c_Numeral_Onumber__of(A,tc_nat),c_plus(B,C,tc_nat),tc_nat) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_nat),B,tc_nat),c_times(c_Numeral_Onumber__of(A,tc_nat),C,tc_nat),tc_nat).  [resolve(1811,c,1650,a)].
% 14.97/15.08  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1811,c,1651,b)].
% 14.97/15.08  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1811,c,1652,b)].
% 14.97/15.08  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1811,c,1653,b)].
% 15.19/15.28  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1811,c,1654,b)].
% 15.19/15.28  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1811,c,1655,b)].
% 15.19/15.28  1812 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1645,b,1591,b)].
% 15.19/15.28  Derived: c_plus(A,c_0,tc_IntDef_Oint) = A.  [resolve(1812,b,1649,a)].
% 15.19/15.28  Derived: c_plus(A,c_0,tc_nat) = A.  [resolve(1812,b,1650,a)].
% 15.19/15.28  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1812,b,1651,b)].
% 15.19/15.28  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1812,b,1652,b)].
% 15.19/15.28  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1812,b,1653,b)].
% 15.19/15.28  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1812,b,1654,b)].
% 15.19/15.28  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1812,b,1655,b)].
% 15.19/15.28  1813 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semiring__strict(B).  [resolve(1646,b,1591,b)].
% 15.19/15.28  Derived: c_plus(c_0,A,tc_IntDef_Oint) = A.  [resolve(1813,b,1649,a)].
% 15.19/15.28  Derived: c_plus(c_0,A,tc_nat) = A.  [resolve(1813,b,1650,a)].
% 15.19/15.28  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1813,b,1651,b)].
% 15.19/15.28  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(1813,b,1652,b)].
% 15.19/15.28  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1813,b,1653,b)].
% 15.19/15.28  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1813,b,1654,b)].
% 15.19/15.28  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1813,b,1655,b)].
% 15.19/15.28  1814 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semiring__strict(A).  [resolve(1647,b,1591,b)].
% 15.19/15.28  Derived: class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1814,b,1649,a)].
% 15.19/15.28  Derived: class_Orderings_Oord(tc_nat).  [resolve(1814,b,1650,a)].
% 15.19/15.28  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1814,b,1651,b)].
% 15.19/15.28  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1814,b,1652,b)].
% 15.19/15.28  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1814,b,1653,b)].
% 15.19/15.28  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1814,b,1654,b)].
% 15.19/15.28  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1814,b,1655,b)].
% 15.19/15.28  1815 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_14) # label(axiom).  [assumption].
% 15.19/15.28  1816 class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_43) # label(axiom).  [assumption].
% 15.19/15.28  1817 class_Ring__and__Field_Opordered__comm__semiring(tc_nat) # label(clsarity_nat_40) # label(axiom).  [assumption].
% 15.19/15.28  1818 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Opordered__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) # label(axiom).  [assumption].
% 15.19/15.28  1819 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Opordered__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__field_37) # label(axiom).  [assumption].
% 15.19/15.28  1820 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Opordered__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__idom_41) # label(axiom).  [assumption].
% 15.19/15.28  1821 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Opordered__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semidom_35) # label(axiom).  [assumption].
% 15.27/15.39  1822 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Opordered__comm__semiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) # label(axiom).  [assumption].
% 15.27/15.39  1823 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Opordered__comm__semiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_20) # label(axiom).  [assumption].
% 15.27/15.39  1824 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_2) # label(axiom).  [assumption].
% 15.27/15.39  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1824,a,1818,b)].
% 15.27/15.39  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1824,a,1822,b)].
% 15.27/15.39  1825 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_5) # label(axiom).  [assumption].
% 15.27/15.39  1826 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_8) # label(axiom).  [assumption].
% 15.27/15.39  1827 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_9) # label(axiom).  [assumption].
% 15.27/15.39  1828 -class_Ring__and__Field_Opordered__comm__semiring(A) | c_lessequals(B,B,A).  [resolve(29,b,2,a)].
% 15.27/15.39  1829 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(33,a,29,b)].
% 15.27/15.39  1830 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(34,a,29,b)].
% 15.27/15.39  1831 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(35,a,29,b)].
% 15.27/15.39  1832 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(36,a,29,b)].
% 15.27/15.39  1833 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(37,a,29,b)].
% 15.27/15.39  1834 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(38,a,29,b)].
% 15.27/15.39  1835 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(39,a,29,b)].
% 15.27/15.39  1836 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(40,a,29,b)].
% 15.27/15.39  1837 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(41,a,29,b)].
% 15.27/15.39  1838 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(42,a,29,b)].
% 15.27/15.39  1839 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(71,a,95,b)].
% 15.27/15.39  1840 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(100,a,95,b)].
% 15.27/15.39  1841 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(102,a,95,b)].
% 15.27/15.39  1842 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(108,b,95,b)].
% 15.27/15.39  1843 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(109,b,95,b)].
% 15.57/15.66  1844 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(183,a,174,b)].
% 15.57/15.66  1845 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(184,a,174,b)].
% 15.57/15.66  1846 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(221,c,208,b)].
% 15.57/15.66  1847 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(222,c,208,b)].
% 15.57/15.66  1848 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(223,a,208,b)].
% 15.57/15.66  1849 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(224,a,208,b)].
% 15.57/15.66  1850 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(226,b,208,b)].
% 15.57/15.66  1851 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(227,b,208,b)].
% 15.57/15.66  1852 class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(1296,b,1292,b)].
% 15.57/15.66  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(1852,b,1823,b)].
% 15.57/15.66  1853 c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1557,a,1552,b)].
% 15.57/15.66  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1853,b,1823,b)].
% 15.57/15.66  1854 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1558,b,1552,b)].
% 15.57/15.66  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1854,b,1823,b)].
% 15.57/15.66  1855 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(1559,c,1552,b)].
% 15.57/15.66  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(1855,c,1823,b)].
% 15.57/15.66  1856 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1560,b,1552,b)].
% 15.57/15.66  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1856,b,1823,b)].
% 15.57/15.66  1857 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(1561,c,1552,b)].
% 15.57/15.66  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(1857,c,1823,b)].
% 15.57/15.66  1858 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1562,c,1552,b)].
% 15.57/15.66  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1858,c,1823,b)].
% 15.57/15.66  1859 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(1563,c,1552,b)].
% 15.57/15.66  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(1859,c,1823,b)].
% 15.57/15.66  1860 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1564,c,1552,b)].
% 15.57/15.66  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1860,c,1823,b)].
% 15.57/15.66  1861 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(1565,c,1552,b)].
% 15.80/15.89  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(1861,c,1823,b)].
% 15.80/15.89  1862 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__semiring(C).  [resolve(1566,c,1552,b)].
% 15.80/15.89  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(1862,c,1823,b)].
% 15.80/15.89  1863 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1567,b,1552,b)].
% 15.80/15.89  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1863,b,1823,b)].
% 15.80/15.89  1864 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(1570,b,1552,b)].
% 15.80/15.89  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(1864,b,1823,b)].
% 15.80/15.89  1865 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(1575,c,1552,b)].
% 15.80/15.89  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(1865,c,1823,b)].
% 15.80/15.89  1866 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(1576,c,1552,b)].
% 15.80/15.89  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(1866,c,1823,b)].
% 15.80/15.89  1867 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(1577,b,1552,b)].
% 15.80/15.89  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(1867,b,1816,a)].
% 15.80/15.89  Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat).  [resolve(1867,b,1817,a)].
% 15.80/15.89  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(1867,b,1823,b)].
% 15.80/15.89  1868 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A).  [resolve(1578,b,1552,b)].
% 15.80/15.89  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(1868,b,1823,b)].
% 15.80/15.89  1869 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1579,b,1552,b)].
% 15.80/15.89  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1869,b,1823,b)].
% 15.80/15.89  1870 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__comm__semiring(B).  [resolve(1580,b,1552,b)].
% 15.80/15.89  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__comm__ring(B).  [resolve(1870,b,1823,b)].
% 15.80/15.89  1871 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_11) # label(axiom).  [assumption].
% 15.80/15.89  1872 class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_44) # label(axiom).  [assumption].
% 15.80/15.89  1873 class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) # label(clsarity_nat_41) # label(axiom).  [assumption].
% 15.80/15.89  1874 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Opordered__cancel__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) # label(axiom).  [assumption].
% 15.80/15.89  1875 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Opordered__cancel__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__field_36) # label(axiom).  [assumption].
% 15.86/15.98  1876 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Opordered__cancel__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__idom_39) # label(axiom).  [assumption].
% 15.86/15.98  1877 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Opordered__cancel__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semidom_33) # label(axiom).  [assumption].
% 15.86/15.98  1878 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_12) # label(axiom).  [assumption].
% 15.86/15.98  1879 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) # label(axiom).  [assumption].
% 15.86/15.98  1880 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_3) # label(axiom).  [assumption].
% 15.86/15.98  1881 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_6) # label(axiom).  [assumption].
% 15.86/15.98  1882 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | c_lessequals(B,B,A).  [resolve(26,b,2,a)].
% 15.86/15.98  1883 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(33,a,26,b)].
% 15.86/15.98  1884 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(34,a,26,b)].
% 15.86/15.98  1885 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(35,a,26,b)].
% 15.86/15.98  1886 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(36,a,26,b)].
% 15.86/15.98  1887 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(37,a,26,b)].
% 15.86/15.98  1888 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(38,a,26,b)].
% 15.86/15.98  1889 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(39,a,26,b)].
% 15.86/15.98  1890 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(40,a,26,b)].
% 15.86/15.98  1891 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(41,a,26,b)].
% 15.86/15.98  1892 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(42,a,26,b)].
% 15.86/15.98  1893 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(71,a,92,b)].
% 15.86/15.98  1894 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(100,a,92,b)].
% 15.86/15.98  1895 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(102,a,92,b)].
% 15.86/15.98  1896 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(108,b,92,b)].
% 15.86/15.98  1897 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(109,b,92,b)].
% 16.16/16.25  1898 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(183,a,171,b)].
% 16.16/16.25  1899 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(184,a,171,b)].
% 16.16/16.25  1900 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(221,c,205,b)].
% 16.16/16.25  1901 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(222,c,205,b)].
% 16.16/16.25  1902 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(223,a,205,b)].
% 16.16/16.25  1903 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(224,a,205,b)].
% 16.16/16.25  1904 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(226,b,205,b)].
% 16.16/16.25  1905 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(227,b,205,b)].
% 16.16/16.25  1906 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(307,a,299,b)].
% 16.16/16.25  1907 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(308,a,299,b)].
% 16.16/16.25  1908 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(346,b,338,b)].
% 16.16/16.25  1909 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(380,a,368,b)].
% 16.16/16.25  1910 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(381,a,368,b)].
% 16.16/16.25  1911 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(386,b,368,b)].
% 16.16/16.25  1912 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(389,c,368,b)].
% 16.16/16.25  1913 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(390,c,368,b)].
% 16.16/16.25  1914 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(391,b,368,b)].
% 16.16/16.25  1915 class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1296,b,1289,b)].
% 16.16/16.25  1916 c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1557,a,1549,b)].
% 16.16/16.25  1917 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1558,b,1549,b)].
% 16.16/16.25  1918 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1559,c,1549,b)].
% 16.16/16.25  1919 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1560,b,1549,b)].
% 16.16/16.25  1920 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1561,c,1549,b)].
% 16.16/16.25  1921 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1562,c,1549,b)].
% 16.16/16.25  1922 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1563,c,1549,b)].
% 16.16/16.25  1923 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1564,c,1549,b)].
% 16.16/16.25  1924 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1565,c,1549,b)].
% 16.16/16.28  1925 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1566,c,1549,b)].
% 16.16/16.28  1926 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1567,b,1549,b)].
% 16.16/16.28  1927 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1570,b,1549,b)].
% 16.16/16.28  1928 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1575,c,1549,b)].
% 16.16/16.28  1929 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1576,c,1549,b)].
% 16.16/16.28  1930 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1579,b,1549,b)].
% 16.16/16.28  1931 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1580,b,1549,b)].
% 16.16/16.28  1932 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1624,b,1592,b)].
% 16.16/16.28  1933 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1625,b,1592,b)].
% 16.16/16.28  1934 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1626,b,1592,b)].
% 16.16/16.28  1935 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1627,c,1592,b)].
% 16.16/16.28  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(A,C,tc_IntDef_Oint) | B = C.  [resolve(1935,c,1872,a)].
% 16.16/16.28  Derived: c_plus(A,B,tc_nat) != c_plus(A,C,tc_nat) | B = C.  [resolve(1935,c,1873,a)].
% 16.16/16.28  1936 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1628,c,1592,b)].
% 16.16/16.28  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(C,B,tc_IntDef_Oint) | A = C.  [resolve(1936,c,1872,a)].
% 16.16/16.28  Derived: c_plus(A,B,tc_nat) != c_plus(C,B,tc_nat) | A = C.  [resolve(1936,c,1873,a)].
% 16.16/16.28  1937 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1629,b,1592,b)].
% 16.16/16.28  1938 c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1631,b,1592,b)].
% 16.16/16.28  1939 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1632,b,1592,b)].
% 16.16/16.28  1940 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1633,c,1592,b)].
% 16.16/16.28  1941 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1634,b,1592,b)].
% 16.16/16.28  1942 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1635,c,1592,b)].
% 16.16/16.28  1943 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1636,c,1592,b)].
% 16.16/16.28  1944 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1637,c,1592,b)].
% 16.16/16.28  1945 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1638,c,1592,b)].
% 16.16/16.28  1946 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1639,c,1592,b)].
% 16.16/16.28  1947 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C).  [resolve(1640,c,1592,b)].
% 16.46/16.54  1948 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1641,b,1592,b)].
% 16.46/16.54  1949 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1642,b,1592,b)].
% 16.46/16.54  1950 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1643,c,1592,b)].
% 16.46/16.54  1951 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1644,c,1592,b)].
% 16.46/16.54  1952 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1645,b,1592,b)].
% 16.46/16.54  1953 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B).  [resolve(1646,b,1592,b)].
% 16.46/16.54  1954 class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1647,b,1592,b)].
% 16.46/16.54  1955 class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A).  [resolve(1824,a,1822,b)].
% 16.46/16.54  Derived: class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint).  [resolve(1955,b,1872,a)].
% 16.46/16.54  Derived: class_OrderedGroup_Oab__semigroup__mult(tc_nat).  [resolve(1955,b,1873,a)].
% 16.46/16.54  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1955,b,1874,b)].
% 16.46/16.54  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1955,b,1875,b)].
% 16.46/16.54  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1955,b,1876,b)].
% 16.46/16.54  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1955,b,1877,b)].
% 16.46/16.54  1956 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_2) # label(axiom).  [assumption].
% 16.46/16.54  1957 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_45) # label(axiom).  [assumption].
% 16.46/16.54  1958 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) # label(clsarity_nat_42) # label(axiom).  [assumption].
% 16.46/16.54  1959 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) # label(axiom).  [assumption].
% 16.46/16.54  1960 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_5) # label(axiom).  [assumption].
% 16.46/16.54  1961 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_8) # label(axiom).  [assumption].
% 16.46/16.54  1962 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_9) # label(axiom).  [assumption].
% 16.46/16.54  1963 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oordered__comm__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__field_35) # label(axiom).  [assumption].
% 16.46/16.54  1964 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oordered__comm__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__idom_30) # label(axiom).  [assumption].
% 16.46/16.54  1965 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Oordered__comm__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__semidom_24) # label(axiom).  [assumption].
% 16.46/16.54  1966 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | c_lessequals(B,B,A).  [resolve(20,b,2,a)].
% 16.46/16.54  1967 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(33,a,20,b)].
% 16.46/16.58  1968 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(34,a,20,b)].
% 16.46/16.58  1969 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(35,a,20,b)].
% 16.46/16.58  1970 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(36,a,20,b)].
% 16.46/16.58  1971 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(37,a,20,b)].
% 16.46/16.58  1972 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(38,a,20,b)].
% 16.46/16.58  1973 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(39,a,20,b)].
% 16.46/16.58  1974 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(40,a,20,b)].
% 16.46/16.58  1975 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(41,a,20,b)].
% 16.46/16.58  1976 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(42,a,20,b)].
% 16.46/16.58  1977 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(71,a,86,b)].
% 16.46/16.58  1978 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(100,a,86,b)].
% 16.46/16.58  1979 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(102,a,86,b)].
% 16.46/16.58  1980 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(108,b,86,b)].
% 16.46/16.58  1981 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(109,b,86,b)].
% 16.46/16.58  1982 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(183,a,165,b)].
% 16.46/16.58  1983 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(184,a,165,b)].
% 16.46/16.58  1984 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(221,c,199,b)].
% 16.46/16.58  1985 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(222,c,199,b)].
% 16.46/16.58  1986 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(223,a,199,b)].
% 16.46/16.58  1987 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(224,a,199,b)].
% 16.46/16.58  1988 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(226,b,199,b)].
% 16.46/16.58  1989 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(227,b,199,b)].
% 16.46/16.58  1990 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(307,a,293,b)].
% 16.46/16.58  1991 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(308,a,293,b)].
% 16.46/16.58  1992 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(346,b,332,b)].
% 16.61/16.69  1993 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(380,a,362,b)].
% 16.61/16.69  1994 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(381,a,362,b)].
% 16.61/16.69  1995 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(386,b,362,b)].
% 16.61/16.69  1996 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(389,c,362,b)].
% 16.61/16.69  1997 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(390,c,362,b)].
% 16.61/16.69  1998 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(391,b,362,b)].
% 16.61/16.69  1999 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1087,a,1080,b)].
% 16.61/16.69  2000 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1089,b,1080,b)].
% 16.61/16.69  2001 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1118,a,1111,b)].
% 16.61/16.69  2002 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1161,b,1141,b)].
% 16.61/16.69  2003 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1163,b,1141,b)].
% 16.61/16.69  2004 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1164,c,1141,b)].
% 16.61/16.69  2005 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1165,b,1141,b)].
% 16.61/16.69  2006 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1166,c,1141,b)].
% 16.61/16.69  2007 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1167,c,1141,b)].
% 16.61/16.69  2008 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1168,c,1141,b)].
% 16.61/16.69  2009 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1169,c,1141,b)].
% 16.61/16.69  2010 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1170,c,1141,b)].
% 16.61/16.69  2011 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1171,c,1141,b)].
% 16.61/16.69  2012 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1172,b,1141,b)].
% 16.61/16.69  2013 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1185,a,1178,b)].
% 16.61/16.69  2014 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1186,a,1178,b)].
% 16.61/16.69  2015 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1187,a,1178,b)].
% 16.61/16.69  2016 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1188,a,1178,b)].
% 16.61/16.69  2017 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1189,a,1178,b)].
% 16.61/16.72  2018 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1190,a,1178,b)].
% 16.61/16.72  2019 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1191,a,1178,b)].
% 16.61/16.72  2020 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1192,a,1178,b)].
% 16.61/16.72  2021 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1193,a,1178,b)].
% 16.61/16.72  2022 c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1194,a,1178,b)].
% 16.61/16.72  2023 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1195,a,1178,b)].
% 16.61/16.72  2024 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1196,a,1178,b)].
% 16.61/16.72  2025 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1197,a,1178,b)].
% 16.61/16.72  2026 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1198,a,1178,b)].
% 16.61/16.72  2027 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1199,a,1178,b)].
% 16.61/16.72  2028 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1200,a,1178,b)].
% 16.61/16.72  2029 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1201,a,1178,b)].
% 16.61/16.72  2030 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1202,a,1178,b)].
% 16.61/16.72  2031 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1203,a,1178,b)].
% 16.61/16.72  2032 c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1204,a,1178,b)].
% 16.61/16.72  2033 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1205,a,1178,b)].
% 16.61/16.72  2034 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1206,a,1178,b)].
% 16.61/16.72  2035 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1207,a,1178,b)].
% 16.61/16.75  2036 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1208,b,1178,b)].
% 16.61/16.75  2037 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1209,b,1178,b)].
% 16.61/16.75  2038 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1210,a,1178,b)].
% 16.61/16.75  2039 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1211,a,1178,b)].
% 16.61/16.75  2040 -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1212,a,1178,b)].
% 16.61/16.75  2041 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1213,a,1178,b)].
% 16.61/16.75  2042 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1214,a,1178,b)].
% 16.61/16.75  2043 -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1215,a,1178,b)].
% 16.61/16.75  2044 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1216,a,1178,b)].
% 16.61/16.75  2045 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1217,a,1178,b)].
% 16.61/16.75  2046 -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1218,a,1178,b)].
% 16.61/16.75  2047 c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1219,a,1178,b)].
% 16.61/16.75  2048 c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1220,a,1178,b)].
% 16.61/16.75  2049 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1221,a,1178,b)].
% 16.61/16.75  2050 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1222,a,1178,b)].
% 16.61/16.75  2051 -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1223,a,1178,b)].
% 16.61/16.75  2052 c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1224,a,1178,b)].
% 16.61/16.75  2053 c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1225,a,1178,b)].
% 16.61/16.75  2054 c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1226,a,1178,b)].
% 16.61/16.75  2055 c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1227,a,1178,b)].
% 16.61/16.75  2056 c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1228,a,1178,b)].
% 16.61/16.75  2057 c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1229,a,1178,b)].
% 16.61/16.75  2058 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1230,a,1178,b)].
% 16.61/16.75  2059 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1231,a,1178,b)].
% 16.61/16.75  2060 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1232,a,1178,b)].
% 16.73/16.80  2061 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1233,a,1178,b)].
% 16.73/16.80  2062 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1234,a,1178,b)].
% 16.73/16.80  2063 -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1235,a,1178,b)].
% 16.73/16.80  2064 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1236,a,1178,b)].
% 16.73/16.80  2065 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1237,a,1178,b)].
% 16.73/16.80  2066 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1238,a,1178,b)].
% 16.73/16.80  2067 -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1239,a,1178,b)].
% 16.73/16.80  2068 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1240,a,1178,b)].
% 16.73/16.80  2069 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1241,a,1178,b)].
% 16.73/16.80  2070 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1242,a,1178,b)].
% 16.73/16.80  2071 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1258,b,1178,b)].
% 16.73/16.80  2072 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1362,a,1355,b)].
% 16.73/16.80  2073 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1363,a,1355,b)].
% 16.73/16.80  2074 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1364,a,1355,b)].
% 16.73/16.80  2075 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1365,a,1355,b)].
% 16.73/16.80  2076 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1366,a,1355,b)].
% 16.73/16.80  2077 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1367,a,1355,b)].
% 16.73/16.80  2078 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1368,a,1355,b)].
% 16.73/16.80  2079 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1369,a,1355,b)].
% 16.73/16.80  2080 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1385,b,1355,b)].
% 16.73/16.80  2081 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1386,b,1355,b)].
% 16.73/16.80  2082 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1387,b,1355,b)].
% 16.73/16.80  2083 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1388,b,1355,b)].
% 16.73/16.80  2084 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1389,c,1355,b)].
% 16.76/16.86  2085 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1390,b,1355,b)].
% 16.76/16.86  2086 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1391,c,1355,b)].
% 16.76/16.86  2087 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1392,c,1355,b)].
% 16.76/16.86  2088 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1393,c,1355,b)].
% 16.76/16.86  2089 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1394,c,1355,b)].
% 16.76/16.86  2090 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1395,c,1355,b)].
% 16.76/16.86  2091 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1396,c,1355,b)].
% 16.76/16.86  2092 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1397,b,1355,b)].
% 16.76/16.86  2093 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1398,c,1355,b)].
% 16.76/16.86  2094 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1399,c,1355,b)].
% 16.76/16.86  2095 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1498,b,1405,b)].
% 16.76/16.86  2096 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1499,b,1405,b)].
% 16.76/16.86  2097 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1523,b,1405,b)].
% 16.76/16.86  2098 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1570,b,1543,b)].
% 16.76/16.86  2099 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1575,c,1543,b)].
% 16.76/16.86  2100 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1576,c,1543,b)].
% 16.76/16.86  2101 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1579,b,1543,b)].
% 16.76/16.86  2102 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1580,b,1543,b)].
% 16.76/16.86  2103 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1624,b,1586,b)].
% 16.76/16.86  2104 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1625,b,1586,b)].
% 16.76/16.86  2105 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1631,b,1586,b)].
% 16.76/16.86  2106 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1632,b,1586,b)].
% 16.76/16.86  2107 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1633,c,1586,b)].
% 16.76/16.86  2108 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1634,b,1586,b)].
% 16.76/16.86  2109 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1635,c,1586,b)].
% 16.76/16.86  2110 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1636,c,1586,b)].
% 16.76/16.88  2111 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1637,c,1586,b)].
% 16.76/16.88  2112 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1638,c,1586,b)].
% 16.76/16.88  2113 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1639,c,1586,b)].
% 16.76/16.88  2114 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1640,c,1586,b)].
% 16.76/16.88  2115 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1641,b,1586,b)].
% 16.76/16.88  2116 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1642,b,1586,b)].
% 16.76/16.88  2117 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1643,c,1586,b)].
% 16.76/16.88  2118 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1644,c,1586,b)].
% 16.76/16.88  2119 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1645,b,1586,b)].
% 16.76/16.88  2120 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1646,b,1586,b)].
% 16.76/16.88  2121 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1647,b,1586,b)].
% 16.76/16.88  2122 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1706,e,1651,b)].
% 16.76/16.88  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_lessequals(A,c_Finite__Set_OMax(B,tc_IntDef_Oint),tc_IntDef_Oint) | B = c_emptyset.  [resolve(2122,e,1957,a)].
% 16.76/16.88  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_lessequals(A,c_Finite__Set_OMax(B,tc_nat),tc_nat) | B = c_emptyset.  [resolve(2122,e,1958,a)].
% 16.76/16.88  2123 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1707,d,1651,b)].
% 16.76/16.88  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Finite__Set_OMax(A,tc_IntDef_Oint),A,tc_IntDef_Oint) | A = c_emptyset.  [resolve(2123,d,1957,a)].
% 16.76/16.88  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Finite__Set_OMax(A,tc_nat),A,tc_nat) | A = c_emptyset.  [resolve(2123,d,1958,a)].
% 16.76/16.88  2124 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1708,d,1651,b)].
% 16.76/16.88  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(B,A,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omax(B,c_Finite__Set_OMax(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2124,d,1957,a)].
% 16.76/16.88  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(B,A,tc_nat),tc_nat) = c_Orderings_Omax(B,c_Finite__Set_OMax(A,tc_nat),tc_nat).  [resolve(2124,d,1958,a)].
% 16.76/16.88  2125 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1709,f,1651,b)].
% 16.76/16.89  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(c_Finite__Set_OMax(B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint) | B = c_emptyset.  [resolve(2125,f,1957,a)].
% 16.76/16.89  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_lessequals(c_Finite__Set_OMax(B,tc_nat),C,tc_nat) | c_lessequals(A,C,tc_nat) | B = c_emptyset.  [resolve(2125,f,1958,a)].
% 16.76/16.89  2126 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1710,e,1651,b)].
% 16.76/16.89  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMax__le__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(2126,e,1957,a)].
% 16.76/16.89  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Main_OMax__le__iff__1(A,B,tc_nat),A,tc_nat) | c_lessequals(c_Finite__Set_OMax(A,tc_nat),B,tc_nat) | A = c_emptyset.  [resolve(2126,e,1958,a)].
% 16.76/16.89  2127 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1711,e,1651,b)].
% 16.76/16.89  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(c_Main_OMax__le__iff__1(A,B,tc_IntDef_Oint),B,tc_IntDef_Oint) | c_lessequals(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(2127,e,1957,a)].
% 16.76/16.89  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_lessequals(c_Main_OMax__le__iff__1(A,B,tc_nat),B,tc_nat) | c_lessequals(c_Finite__Set_OMax(A,tc_nat),B,tc_nat) | A = c_emptyset.  [resolve(2127,e,1958,a)].
% 16.76/16.89  2128 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1712,f,1651,b)].
% 16.76/16.89  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(c_Finite__Set_OMax(B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint) | B = c_emptyset.  [resolve(2128,f,1957,a)].
% 16.76/16.89  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_less(c_Finite__Set_OMax(B,tc_nat),C,tc_nat) | c_less(A,C,tc_nat) | B = c_emptyset.  [resolve(2128,f,1958,a)].
% 16.76/16.89  2129 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1713,e,1651,b)].
% 16.76/16.89  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMax__less__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(2129,e,1957,a)].
% 16.76/16.89  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Main_OMax__less__iff__1(A,B,tc_nat),A,tc_nat) | c_less(c_Finite__Set_OMax(A,tc_nat),B,tc_nat) | A = c_emptyset.  [resolve(2129,e,1958,a)].
% 16.76/16.89  2130 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1714,e,1651,b)].
% 16.76/16.89  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(c_Main_OMax__less__iff__1(A,B,tc_IntDef_Oint),B,tc_IntDef_Oint) | c_less(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(2130,e,1957,a)].
% 16.76/16.89  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_less(c_Main_OMax__less__iff__1(A,B,tc_nat),B,tc_nat) | c_less(c_Finite__Set_OMax(A,tc_nat),B,tc_nat) | A = c_emptyset.  [resolve(2130,e,1958,a)].
% 16.76/16.89  2131 c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1715,b,1651,b)].
% 16.76/16.90  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(2131,b,1957,a)].
% 16.76/16.90  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,tc_nat),tc_nat) = A.  [resolve(2131,b,1958,a)].
% 16.76/16.90  2132 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1716,f,1651,b)].
% 16.76/16.90  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(C,c_Finite__Set_OMin(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(C,A,tc_IntDef_Oint) | B = c_emptyset.  [resolve(2132,f,1957,a)].
% 16.76/16.90  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_lessequals(C,c_Finite__Set_OMin(B,tc_nat),tc_nat) | c_lessequals(C,A,tc_nat) | B = c_emptyset.  [resolve(2132,f,1958,a)].
% 16.76/16.90  2133 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1717,e,1651,b)].
% 16.76/16.90  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMin__ge__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(2133,e,1957,a)].
% 16.76/16.90  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Main_OMin__ge__iff__1(A,B,tc_nat),A,tc_nat) | c_lessequals(B,c_Finite__Set_OMin(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(2133,e,1958,a)].
% 16.76/16.90  2134 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1718,e,1651,b)].
% 16.76/16.90  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(B,c_Main_OMin__ge__iff__1(A,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(2134,e,1957,a)].
% 16.76/16.90  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_lessequals(B,c_Main_OMin__ge__iff__1(A,B,tc_nat),tc_nat) | c_lessequals(B,c_Finite__Set_OMin(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(2134,e,1958,a)].
% 16.76/16.90  2135 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1719,f,1651,b)].
% 16.76/16.90  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(C,c_Finite__Set_OMin(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(C,A,tc_IntDef_Oint) | B = c_emptyset.  [resolve(2135,f,1957,a)].
% 16.76/16.90  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_less(C,c_Finite__Set_OMin(B,tc_nat),tc_nat) | c_less(C,A,tc_nat) | B = c_emptyset.  [resolve(2135,f,1958,a)].
% 16.76/16.90  2136 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1720,e,1651,b)].
% 16.76/16.90  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMin__gr__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(2136,e,1957,a)].
% 16.76/16.90  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Main_OMin__gr__iff__1(A,B,tc_nat),A,tc_nat) | c_less(B,c_Finite__Set_OMin(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(2136,e,1958,a)].
% 16.76/16.90  2137 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1721,e,1651,b)].
% 16.76/16.90  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(B,c_Main_OMin__gr__iff__1(A,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(2137,e,1957,a)].
% 16.76/16.91  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | -c_less(B,c_Main_OMin__gr__iff__1(A,B,tc_nat),tc_nat) | c_less(B,c_Finite__Set_OMin(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(2137,e,1958,a)].
% 16.76/16.91  2138 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1722,d,1651,b)].
% 16.76/16.91  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Finite__Set_OMin(A,tc_IntDef_Oint),A,tc_IntDef_Oint) | A = c_emptyset.  [resolve(2138,d,1957,a)].
% 16.76/16.91  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_in(c_Finite__Set_OMin(A,tc_nat),A,tc_nat) | A = c_emptyset.  [resolve(2138,d,1958,a)].
% 16.76/16.91  2139 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1723,d,1651,b)].
% 16.76/16.91  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(B,A,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omin(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2139,d,1957,a)].
% 16.76/16.91  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(B,A,tc_nat),tc_nat) = c_Orderings_Omin(B,c_Finite__Set_OMin(A,tc_nat),tc_nat).  [resolve(2139,d,1958,a)].
% 16.76/16.91  2140 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1724,e,1651,b)].
% 16.76/16.91  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_lessequals(c_Finite__Set_OMin(B,tc_IntDef_Oint),A,tc_IntDef_Oint) | B = c_emptyset.  [resolve(2140,e,1957,a)].
% 16.76/16.91  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_lessequals(c_Finite__Set_OMin(B,tc_nat),A,tc_nat) | B = c_emptyset.  [resolve(2140,e,1958,a)].
% 16.76/16.91  2141 c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1725,b,1651,b)].
% 16.76/16.91  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(2141,b,1957,a)].
% 16.76/16.91  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,tc_nat),tc_nat) = A.  [resolve(2141,b,1958,a)].
% 16.76/16.91  2142 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1726,d,1651,b)].
% 16.76/16.91  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_lessequals(c_Finite__Set_OMin(A,tc_IntDef_Oint),c_Finite__Set_OMax(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(2142,d,1957,a)].
% 16.76/16.91  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_nat)) | c_lessequals(c_Finite__Set_OMin(A,tc_nat),c_Finite__Set_OMax(A,tc_nat),tc_nat) | A = c_emptyset.  [resolve(2142,d,1958,a)].
% 16.76/16.91  2143 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1727,e,1651,b)].
% 16.76/16.91  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(2143,e,1957,a)].
% 16.76/16.91  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,tc_nat),tc_nat) = A.  [resolve(2143,e,1958,a)].
% 16.76/16.91  2144 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1728,e,1651,b)].
% 16.76/16.91  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(2144,e,1957,a)].
% 16.76/16.91  Derived: -c_in(A,B,tc_nat) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_nat)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,tc_nat),tc_nat) = A.  [resolve(2144,e,1958,a)].
% 16.76/16.92  2145 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1729,d,1651,b)].
% 16.76/16.92  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_less(A,c_0,tc_IntDef_Oint).  [resolve(2145,d,1957,a)].
% 16.76/16.92  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(c_plus(A,A,tc_nat),c_0,tc_nat) | c_less(A,c_0,tc_nat).  [resolve(2145,d,1958,a)].
% 16.76/16.92  2146 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1730,d,1651,b)].
% 16.76/16.92  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(A,c_0,tc_IntDef_Oint) | c_less(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(2146,d,1957,a)].
% 16.76/16.92  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_nat) | -c_less(A,c_0,tc_nat) | c_less(c_plus(A,A,tc_nat),c_0,tc_nat).  [resolve(2146,d,1958,a)].
% 16.76/16.92  2147 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1731,c,1651,b)].
% 16.76/16.92  Derived: -c_less(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(2147,c,1957,a)].
% 16.76/16.92  Derived: -c_less(c_Orderings_Omax(A,B,tc_nat),C,tc_nat) | c_less(A,C,tc_nat).  [resolve(2147,c,1958,a)].
% 16.76/16.92  2148 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1732,c,1651,b)].
% 16.76/16.92  Derived: -c_less(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_less(B,C,tc_IntDef_Oint).  [resolve(2148,c,1957,a)].
% 16.76/16.92  Derived: -c_less(c_Orderings_Omax(A,B,tc_nat),C,tc_nat) | c_less(B,C,tc_nat).  [resolve(2148,c,1958,a)].
% 16.76/16.92  2149 -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1733,d,1651,b)].
% 16.76/16.92  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_less(C,B,tc_IntDef_Oint) | c_less(c_Orderings_Omax(C,A,tc_IntDef_Oint),B,tc_IntDef_Oint).  [resolve(2149,d,1957,a)].
% 16.76/16.92  Derived: -c_less(A,B,tc_nat) | -c_less(C,B,tc_nat) | c_less(c_Orderings_Omax(C,A,tc_nat),B,tc_nat).  [resolve(2149,d,1958,a)].
% 16.76/16.92  2150 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1734,c,1651,b)].
% 16.76/16.92  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint).  [resolve(2150,c,1957,a)].
% 16.76/16.92  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_nat),tc_nat) | c_less(A,B,tc_nat).  [resolve(2150,c,1958,a)].
% 16.76/16.92  2151 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1735,c,1651,b)].
% 16.76/16.92  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(2151,c,1957,a)].
% 16.76/16.92  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_nat),tc_nat) | c_less(A,C,tc_nat).  [resolve(2151,c,1958,a)].
% 16.76/16.92  2152 -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1736,d,1651,b)].
% 16.76/16.92  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_less(A,C,tc_IntDef_Oint) | c_less(A,c_Orderings_Omin(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2152,d,1957,a)].
% 16.76/16.92  Derived: -c_less(A,B,tc_nat) | -c_less(A,C,tc_nat) | c_less(A,c_Orderings_Omin(C,B,tc_nat),tc_nat).  [resolve(2152,d,1958,a)].
% 16.76/16.92  2153 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1737,c,1651,b)].
% 16.76/16.92  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(2153,c,1957,a)].
% 16.76/16.92  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat).  [resolve(2153,c,1958,a)].
% 16.76/16.92  2154 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__comm__semiring__strict(D).  [resolve(1738,c,1651,b)].
% 16.86/16.93  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(2154,c,1957,a)].
% 16.86/16.93  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_nat),tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(2154,c,1958,a)].
% 16.86/16.93  2155 -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1739,d,1651,b)].
% 16.86/16.93  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(A,C,tc_IntDef_Oint) | c_lessequals(A,c_Orderings_Omin(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2155,d,1957,a)].
% 16.86/16.93  Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(A,C,tc_nat) | c_lessequals(A,c_Orderings_Omin(C,B,tc_nat),tc_nat).  [resolve(2155,d,1958,a)].
% 16.86/16.93  2156 c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1740,b,1651,b)].
% 16.86/16.93  Derived: c_Orderings_Omin(A,A,tc_IntDef_Oint) = A.  [resolve(2156,b,1957,a)].
% 16.86/16.93  Derived: c_Orderings_Omin(A,A,tc_nat) = A.  [resolve(2156,b,1958,a)].
% 16.86/16.93  2157 c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1741,b,1651,b)].
% 16.86/16.93  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omin(A,B,tc_IntDef_Oint).  [resolve(2157,b,1957,a)].
% 16.86/16.93  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,tc_nat),tc_nat) = c_Orderings_Omin(A,B,tc_nat).  [resolve(2157,b,1958,a)].
% 16.86/16.93  2158 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1742,c,1651,b)].
% 16.86/16.93  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(2158,c,1957,a)].
% 16.86/16.93  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_nat),C,tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(2158,c,1958,a)].
% 16.86/16.93  2159 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1743,c,1651,b)].
% 16.86/16.93  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(2159,c,1957,a)].
% 16.86/16.93  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_nat),C,tc_nat) | c_lessequals(B,C,tc_nat).  [resolve(2159,c,1958,a)].
% 16.86/16.93  2160 -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1744,d,1651,b)].
% 16.86/16.93  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,B,tc_IntDef_Oint) | c_lessequals(c_Orderings_Omax(C,A,tc_IntDef_Oint),B,tc_IntDef_Oint).  [resolve(2160,d,1957,a)].
% 16.86/16.93  Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,B,tc_nat) | c_lessequals(c_Orderings_Omax(C,A,tc_nat),B,tc_nat).  [resolve(2160,d,1958,a)].
% 16.86/16.93  2161 c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1745,b,1651,b)].
% 16.86/16.93  Derived: c_Orderings_Omax(A,A,tc_IntDef_Oint) = A.  [resolve(2161,b,1957,a)].
% 16.86/16.93  Derived: c_Orderings_Omax(A,A,tc_nat) = A.  [resolve(2161,b,1958,a)].
% 16.86/16.93  2162 c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1746,b,1651,b)].
% 16.86/16.93  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omax(A,B,tc_IntDef_Oint).  [resolve(2162,b,1957,a)].
% 16.86/16.93  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,tc_nat),tc_nat) = c_Orderings_Omax(A,B,tc_nat).  [resolve(2162,b,1958,a)].
% 16.86/16.93  2163 c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1747,b,1651,b)].
% 16.86/16.93  Derived: c_uminus(c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OlessThan(A,tc_IntDef_Oint).  [resolve(2163,b,1957,a)].
% 16.86/16.93  Derived: c_uminus(c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)) = c_SetInterval_OlessThan(A,tc_nat).  [resolve(2163,b,1958,a)].
% 16.86/16.94  2164 c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1748,b,1651,b)].
% 16.86/16.94  Derived: c_uminus(c_SetInterval_OatMost(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OgreaterThan(A,tc_IntDef_Oint).  [resolve(2164,b,1957,a)].
% 16.86/16.94  Derived: c_uminus(c_SetInterval_OatMost(A,tc_nat),tc_set(tc_nat)) = c_SetInterval_OgreaterThan(A,tc_nat).  [resolve(2164,b,1958,a)].
% 16.86/16.94  2165 c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1749,b,1651,b)].
% 16.86/16.94  Derived: c_uminus(c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OatMost(A,tc_IntDef_Oint).  [resolve(2165,b,1957,a)].
% 16.86/16.94  Derived: c_uminus(c_SetInterval_OgreaterThan(A,tc_nat),tc_set(tc_nat)) = c_SetInterval_OatMost(A,tc_nat).  [resolve(2165,b,1958,a)].
% 16.86/16.94  2166 c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1750,b,1651,b)].
% 16.86/16.94  Derived: c_uminus(c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OatLeast(A,tc_IntDef_Oint).  [resolve(2166,b,1957,a)].
% 16.86/16.94  Derived: c_uminus(c_SetInterval_OlessThan(A,tc_nat),tc_set(tc_nat)) = c_SetInterval_OatLeast(A,tc_nat).  [resolve(2166,b,1958,a)].
% 16.86/16.94  2167 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1751,c,1651,b)].
% 16.86/16.94  Derived: c_SetInterval_OatLeast(A,tc_IntDef_Oint) != c_SetInterval_OatLeast(B,tc_IntDef_Oint) | A = B.  [resolve(2167,c,1957,a)].
% 16.86/16.94  Derived: c_SetInterval_OatLeast(A,tc_nat) != c_SetInterval_OatLeast(B,tc_nat) | A = B.  [resolve(2167,c,1958,a)].
% 16.86/16.94  2168 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1752,c,1651,b)].
% 16.86/16.94  Derived: c_SetInterval_OatMost(A,tc_IntDef_Oint) != c_SetInterval_OatMost(B,tc_IntDef_Oint) | A = B.  [resolve(2168,c,1957,a)].
% 16.86/16.94  Derived: c_SetInterval_OatMost(A,tc_nat) != c_SetInterval_OatMost(B,tc_nat) | A = B.  [resolve(2168,c,1958,a)].
% 16.86/16.94  2169 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1753,c,1651,b)].
% 16.86/16.94  Derived: c_SetInterval_OgreaterThan(A,tc_IntDef_Oint) != c_SetInterval_OgreaterThan(B,tc_IntDef_Oint) | A = B.  [resolve(2169,c,1957,a)].
% 16.86/16.94  Derived: c_SetInterval_OgreaterThan(A,tc_nat) != c_SetInterval_OgreaterThan(B,tc_nat) | A = B.  [resolve(2169,c,1958,a)].
% 16.86/16.94  2170 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1754,c,1651,b)].
% 16.86/16.94  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(2170,c,1957,a)].
% 16.86/16.94  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_nat),c_SetInterval_OgreaterThan(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat).  [resolve(2170,c,1958,a)].
% 16.86/16.94  2171 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1755,c,1651,b)].
% 16.86/16.94  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(2171,c,1957,a)].
% 16.86/16.94  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_nat),c_SetInterval_OgreaterThan(A,tc_nat),tc_set(tc_nat)).  [resolve(2171,c,1958,a)].
% 16.86/16.94  2172 -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1756,c,1651,b)].
% 16.86/16.94  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_minus(c_SetInterval_OatLeastLessThan(A,C,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(A,B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OatLeastLessThan(B,C,tc_IntDef_Oint).  [resolve(2172,c,1957,a)].
% 16.86/16.94  Derived: -c_lessequals(A,B,tc_nat) | c_minus(c_SetInterval_OatLeastLessThan(A,C,tc_nat),c_SetInterval_OatLeastLessThan(A,B,tc_nat),tc_set(tc_nat)) = c_SetInterval_OatLeastLessThan(B,C,tc_nat).  [resolve(2172,c,1958,a)].
% 16.86/16.94  2173 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1757,d,1651,b)].
% 16.86/16.94  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,D,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(2173,d,1957,a)].
% 16.86/16.94  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_nat),c_SetInterval_OatLeastLessThan(C,D,tc_nat),tc_set(tc_nat)) | c_lessequals(C,A,tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(2173,d,1958,a)].
% 16.86/16.94  2174 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1758,d,1651,b)].
% 16.86/16.94  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,D,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,D,tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(2174,d,1957,a)].
% 16.86/16.94  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_nat),c_SetInterval_OatLeastLessThan(C,D,tc_nat),tc_set(tc_nat)) | c_lessequals(B,D,tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(2174,d,1958,a)].
% 16.86/16.94  2175 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1759,c,1651,b)].
% 16.86/16.94  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,D,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(2175,c,1957,a)].
% 16.86/16.94  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,tc_nat),c_SetInterval_OatLeastLessThan(C,D,tc_nat),tc_set(tc_nat)).  [resolve(2175,c,1958,a)].
% 16.86/16.94  2176 -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1760,d,1651,b)].
% 16.86/16.94  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,D,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeastLessThan(D,A,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(2176,d,1957,a)].
% 16.86/16.94  Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,D,tc_nat) | c_lessequals(c_SetInterval_OatLeastLessThan(D,A,tc_nat),c_SetInterval_OatLeastLessThan(C,B,tc_nat),tc_set(tc_nat)).  [resolve(2176,d,1958,a)].
% 16.86/16.94  2177 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1761,c,1651,b)].
% 16.86/16.94  Derived: c_SetInterval_OlessThan(A,tc_IntDef_Oint) != c_SetInterval_OlessThan(B,tc_IntDef_Oint) | A = B.  [resolve(2177,c,1957,a)].
% 16.86/16.94  Derived: c_SetInterval_OlessThan(A,tc_nat) != c_SetInterval_OlessThan(B,tc_nat) | A = B.  [resolve(2177,c,1958,a)].
% 16.86/16.94  2178 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1762,c,1651,b)].
% 16.86/16.94  Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(2178,c,1957,a)].
% 16.86/16.94  Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_nat),c_SetInterval_OlessThan(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat).  [resolve(2178,c,1958,a)].
% 16.86/16.95  2179 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1763,c,1651,b)].
% 16.86/16.95  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(2179,c,1957,a)].
% 16.86/16.95  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OlessThan(A,tc_nat),c_SetInterval_OlessThan(B,tc_nat),tc_set(tc_nat)).  [resolve(2179,c,1958,a)].
% 16.86/16.95  2180 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1765,c,1651,b)].
% 16.86/16.95  Derived: -c_lessequals(c_plus(A,B,tc_IntDef_Oint),c_plus(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(2180,c,1957,a)].
% 16.86/16.95  Derived: -c_lessequals(c_plus(A,B,tc_nat),c_plus(A,C,tc_nat),tc_nat) | c_lessequals(B,C,tc_nat).  [resolve(2180,c,1958,a)].
% 16.86/16.95  2181 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1766,c,1651,b)].
% 16.86/16.95  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_plus(C,A,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2181,c,1957,a)].
% 16.86/16.95  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_plus(C,A,tc_nat),c_plus(C,B,tc_nat),tc_nat).  [resolve(2181,c,1958,a)].
% 16.86/16.95  2182 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1767,c,1651,b)].
% 16.86/16.95  Derived: -c_lessequals(c_plus(A,B,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(2182,c,1957,a)].
% 16.86/16.95  Derived: -c_lessequals(c_plus(A,B,tc_nat),c_plus(C,B,tc_nat),tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(2182,c,1958,a)].
% 16.86/16.95  2183 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1768,c,1651,b)].
% 16.86/16.95  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_plus(A,C,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2183,c,1957,a)].
% 16.86/16.95  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_plus(A,C,tc_nat),c_plus(B,C,tc_nat),tc_nat).  [resolve(2183,c,1958,a)].
% 16.86/16.95  2184 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1769,c,1651,b)].
% 16.86/16.95  Derived: -c_less(c_plus(A,B,tc_IntDef_Oint),c_plus(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,C,tc_IntDef_Oint).  [resolve(2184,c,1957,a)].
% 16.86/16.95  Derived: -c_less(c_plus(A,B,tc_nat),c_plus(A,C,tc_nat),tc_nat) | c_less(B,C,tc_nat).  [resolve(2184,c,1958,a)].
% 16.86/16.95  2185 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1770,c,1651,b)].
% 16.86/16.95  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_plus(C,A,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2185,c,1957,a)].
% 16.86/16.95  Derived: -c_less(A,B,tc_nat) | c_less(c_plus(C,A,tc_nat),c_plus(C,B,tc_nat),tc_nat).  [resolve(2185,c,1958,a)].
% 16.86/16.95  2186 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1771,c,1651,b)].
% 16.86/16.95  Derived: -c_less(c_plus(A,B,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(2186,c,1957,a)].
% 16.86/16.95  Derived: -c_less(c_plus(A,B,tc_nat),c_plus(C,B,tc_nat),tc_nat) | c_less(A,C,tc_nat).  [resolve(2186,c,1958,a)].
% 16.86/16.95  2187 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1772,c,1651,b)].
% 16.86/16.95  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_plus(A,C,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2187,c,1957,a)].
% 16.86/16.95  Derived: -c_less(A,B,tc_nat) | c_less(c_plus(A,C,tc_nat),c_plus(B,C,tc_nat),tc_nat).  [resolve(2187,c,1958,a)].
% 16.86/16.95  2188 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1773,b,1651,b)].
% 16.86/16.97  2189 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1786,c,1651,b)].
% 16.86/16.97  2190 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1787,c,1651,b)].
% 16.86/16.97  2191 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1788,b,1651,b)].
% 16.86/16.97  Derived: c_LOrder_Omeet(A,A,tc_IntDef_Oint) = A.  [resolve(2191,b,1957,a)].
% 16.86/16.97  Derived: c_LOrder_Omeet(A,A,tc_nat) = A.  [resolve(2191,b,1958,a)].
% 16.86/16.97  2192 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1789,b,1651,b)].
% 16.86/16.97  Derived: c_LOrder_Ojoin(A,A,tc_IntDef_Oint) = A.  [resolve(2192,b,1957,a)].
% 16.86/16.97  Derived: c_LOrder_Ojoin(A,A,tc_nat) = A.  [resolve(2192,b,1958,a)].
% 16.86/16.97  2193 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1790,b,1651,b)].
% 16.86/16.97  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(2193,b,1957,a)].
% 16.86/16.97  Derived: class_OrderedGroup_Osemigroup__add(tc_nat).  [resolve(2193,b,1958,a)].
% 16.86/16.97  2194 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1796,b,1651,b)].
% 16.86/16.97  Derived: c_times(c_0,A,tc_IntDef_Oint) = c_0.  [resolve(2194,b,1957,a)].
% 16.86/16.97  Derived: c_times(c_0,A,tc_nat) = c_0.  [resolve(2194,b,1958,a)].
% 16.86/16.97  2195 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1797,b,1651,b)].
% 16.86/16.97  Derived: c_times(A,c_0,tc_IntDef_Oint) = c_0.  [resolve(2195,b,1957,a)].
% 16.86/16.97  Derived: c_times(A,c_0,tc_nat) = c_0.  [resolve(2195,b,1958,a)].
% 16.86/16.97  2196 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1798,b,1651,b)].
% 16.86/16.97  Derived: c_lessequals(A,A,tc_IntDef_Oint).  [resolve(2196,b,1957,a)].
% 16.86/16.97  Derived: c_lessequals(A,A,tc_nat).  [resolve(2196,b,1958,a)].
% 16.86/16.97  2197 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1799,b,1651,b)].
% 16.86/16.97  Derived: -c_less(A,A,tc_IntDef_Oint).  [resolve(2197,b,1957,a)].
% 16.86/16.97  Derived: -c_less(A,A,tc_nat).  [resolve(2197,b,1958,a)].
% 16.86/16.97  2198 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1800,c,1651,b)].
% 16.86/16.97  Derived: -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(2198,c,1957,a)].
% 16.86/16.97  Derived: -c_less(A,B,tc_nat) | c_SetInterval_OatLeastAtMost(B,A,tc_nat) = c_emptyset.  [resolve(2198,c,1958,a)].
% 16.86/16.97  2199 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1801,b,1651,b)].
% 16.86/16.97  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_IntDef_Oint) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(2199,b,1957,a)].
% 16.86/16.97  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_nat) = c_insert(A,c_emptyset,tc_nat).  [resolve(2199,b,1958,a)].
% 16.86/16.97  2200 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1802,c,1651,b)].
% 16.86/16.97  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(2200,c,1957,a)].
% 16.86/16.97  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OatLeastLessThan(B,A,tc_nat) = c_emptyset.  [resolve(2200,c,1958,a)].
% 16.86/16.97  2201 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1803,c,1651,b)].
% 16.86/16.97  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(2201,c,1957,a)].
% 16.86/16.97  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat).  [resolve(2201,c,1958,a)].
% 16.86/16.97  2202 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1804,c,1651,b)].
% 16.86/16.97  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(2202,c,1957,a)].
% 16.86/16.98  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)).  [resolve(2202,c,1958,a)].
% 16.86/16.98  2203 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1805,c,1651,b)].
% 16.86/16.98  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(2203,c,1957,a)].
% 16.86/16.98  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat).  [resolve(2203,c,1958,a)].
% 16.86/16.98  2204 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1806,c,1651,b)].
% 16.86/16.98  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(2204,c,1957,a)].
% 16.86/16.98  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)).  [resolve(2204,c,1958,a)].
% 16.86/16.98  2205 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__comm__semiring__strict(C).  [resolve(1807,c,1651,b)].
% 16.86/16.98  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OgreaterThanAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(2205,c,1957,a)].
% 16.86/16.98  Derived: -c_lessequals(A,B,tc_nat) | c_SetInterval_OgreaterThanAtMost(B,A,tc_nat) = c_emptyset.  [resolve(2205,c,1958,a)].
% 16.86/16.98  2206 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1808,b,1651,b)].
% 16.86/16.98  Derived: c_minus(c_insert(A,c_emptyset,tc_IntDef_Oint),c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(2206,b,1957,a)].
% 16.86/16.98  Derived: c_minus(c_insert(A,c_emptyset,tc_nat),c_SetInterval_OlessThan(A,tc_nat),tc_set(tc_nat)) = c_insert(A,c_emptyset,tc_nat).  [resolve(2206,b,1958,a)].
% 16.86/16.98  2207 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1809,b,1651,b)].
% 16.86/16.98  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(2207,b,1957,a)].
% 16.86/16.98  Derived: class_OrderedGroup_Osemigroup__mult(tc_nat).  [resolve(2207,b,1958,a)].
% 16.86/16.98  2208 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1810,c,1651,b)].
% 16.86/16.98  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_plus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2208,c,1957,a)].
% 16.86/16.98  Derived: -class_Numeral_Onumber(tc_nat) | c_times(c_plus(A,B,tc_nat),c_Numeral_Onumber__of(C,tc_nat),tc_nat) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_nat),tc_nat),c_times(B,c_Numeral_Onumber__of(C,tc_nat),tc_nat),tc_nat).  [resolve(2208,c,1958,a)].
% 16.86/16.98  2209 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1811,c,1651,b)].
% 16.86/16.98  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2209,c,1957,a)].
% 17.56/17.64  Derived: -class_Numeral_Onumber(tc_nat) | c_times(c_Numeral_Onumber__of(A,tc_nat),c_plus(B,C,tc_nat),tc_nat) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_nat),B,tc_nat),c_times(c_Numeral_Onumber__of(A,tc_nat),C,tc_nat),tc_nat).  [resolve(2209,c,1958,a)].
% 17.56/17.64  2210 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1812,b,1651,b)].
% 17.56/17.64  Derived: c_plus(A,c_0,tc_IntDef_Oint) = A.  [resolve(2210,b,1957,a)].
% 17.56/17.64  Derived: c_plus(A,c_0,tc_nat) = A.  [resolve(2210,b,1958,a)].
% 17.56/17.64  2211 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__comm__semiring__strict(B).  [resolve(1813,b,1651,b)].
% 17.56/17.64  Derived: c_plus(c_0,A,tc_IntDef_Oint) = A.  [resolve(2211,b,1957,a)].
% 17.56/17.64  Derived: c_plus(c_0,A,tc_nat) = A.  [resolve(2211,b,1958,a)].
% 17.56/17.64  2212 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1814,b,1651,b)].
% 17.56/17.64  Derived: class_Orderings_Oord(tc_IntDef_Oint).  [resolve(2212,b,1957,a)].
% 17.56/17.64  Derived: class_Orderings_Oord(tc_nat).  [resolve(2212,b,1958,a)].
% 17.56/17.64  2213 class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1824,a,1818,b)].
% 17.56/17.64  2214 class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A).  [resolve(1955,b,1874,b)].
% 17.56/17.64  Derived: class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint).  [resolve(2214,b,1957,a)].
% 17.56/17.64  Derived: class_OrderedGroup_Oab__semigroup__mult(tc_nat).  [resolve(2214,b,1958,a)].
% 17.56/17.64  2215 -class_Ring__and__Field_Oaxclass__abs__if(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oaxclass__abs__if_1) # label(axiom).  [assumption].
% 17.56/17.64  2216 class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_46) # label(axiom).  [assumption].
% 17.56/17.64  2217 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oaxclass__abs__if(A) # label(clsrel_Ring__and__Field_Oordered__field_42) # label(axiom).  [assumption].
% 17.56/17.64  2218 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oaxclass__abs__if(A) # label(clsrel_Ring__and__Field_Oordered__idom_46) # label(axiom).  [assumption].
% 17.56/17.64  2219 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Oaxclass__abs__if(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_28) # label(axiom).  [assumption].
% 17.56/17.64  2220 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_0) # label(axiom).  [assumption].
% 17.56/17.64  2221 class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_48) # label(axiom).  [assumption].
% 17.56/17.64  Derived: class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint).  [resolve(2220,a,2221,a)].
% 17.56/17.64  2222 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_1) # label(axiom).  [assumption].
% 17.56/17.64  2223 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_11) # label(axiom).  [assumption].
% 17.56/17.64  2224 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_13) # label(axiom).  [assumption].
% 17.56/17.64  2225 -class_OrderedGroup_Olordered__ab__group(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Olordered__ab__group_9) # label(axiom).  [assumption].
% 17.56/17.64  2226 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_0) # label(axiom).  [assumption].
% 17.56/17.64  2227 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_16) # label(axiom).  [assumption].
% 17.56/17.64  Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(2227,b,2220,a)].
% 17.56/17.64  Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Oab__group__add(A).  [resolve(2227,b,2222,a)].
% 17.56/17.64  2228 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_16) # label(axiom).  [assumption].
% 17.56/17.68  Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(2228,b,2220,a)].
% 17.56/17.68  Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Oab__group__add(A).  [resolve(2228,b,2222,a)].
% 17.56/17.68  2229 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_Ring__and__Field_Olordered__ring_25) # label(axiom).  [assumption].
% 17.56/17.68  Derived: -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(2229,b,2220,a)].
% 17.56/17.68  2230 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_Ring__and__Field_Oordered__field_50) # label(axiom).  [assumption].
% 17.56/17.68  2231 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_Ring__and__Field_Oordered__idom_53) # label(axiom).  [assumption].
% 17.56/17.68  2232 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_29) # label(axiom).  [assumption].
% 17.56/17.68  2233 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(c_plus(B,B,A),c_0,A) | c_lessequals(B,c_0,A) # label(cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_0) # label(axiom).  [assumption].
% 17.56/17.68  Derived: -c_lessequals(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(A,c_0,tc_IntDef_Oint).  [resolve(2233,a,2221,a)].
% 17.56/17.68  Derived: -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2233,a,2226,b)].
% 17.56/17.68  Derived: -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2233,a,2227,b)].
% 17.56/17.68  Derived: -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2233,a,2228,b)].
% 17.56/17.68  Derived: -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2233,a,2229,b)].
% 17.56/17.68  Derived: -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2233,a,2230,b)].
% 17.56/17.68  Derived: -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2233,a,2231,b)].
% 17.56/17.68  Derived: -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2233,a,2232,b)].
% 17.56/17.68  2234 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,c_0,A) | c_lessequals(c_plus(B,B,A),c_0,A) # label(cls_OrderedGroup_Odouble__add__le__zero__iff__single__add__le__zero_1) # label(axiom).  [assumption].
% 17.56/17.68  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_lessequals(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(2234,a,2221,a)].
% 17.56/17.68  Derived: -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2234,a,2226,b)].
% 17.56/17.68  Derived: -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2234,a,2227,b)].
% 17.56/17.68  Derived: -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2234,a,2228,b)].
% 17.56/17.68  Derived: -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2234,a,2229,b)].
% 17.56/17.68  Derived: -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2234,a,2230,b)].
% 17.56/17.68  Derived: -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2234,a,2231,b)].
% 17.56/17.68  Derived: -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2234,a,2232,b)].
% 17.56/17.68  2235 -class_OrderedGroup_Olordered__ab__group(A) | c_LOrder_Ojoin(B,c_uminus(B,A),A) != c_0 | B = c_0 # label(cls_OrderedGroup_Ojoin__0__eq__0_0) # label(axiom).  [assumption].
% 17.56/17.69  Derived: c_LOrder_Ojoin(A,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(2235,a,2221,a)].
% 17.56/17.69  Derived: c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2235,a,2226,b)].
% 17.56/17.69  Derived: c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2235,a,2227,b)].
% 17.56/17.69  Derived: c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2235,a,2228,b)].
% 17.56/17.69  Derived: c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2235,a,2229,b)].
% 17.56/17.69  Derived: c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(2235,a,2230,b)].
% 17.56/17.69  Derived: c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2235,a,2231,b)].
% 17.56/17.69  Derived: c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2235,a,2232,b)].
% 17.56/17.69  2236 -class_OrderedGroup_Olordered__ab__group(A) | c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 # label(cls_OrderedGroup_Ojoin__0__eq__0_1) # label(axiom).  [assumption].
% 17.56/17.69  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint) = c_0.  [resolve(2236,a,2221,a)].
% 17.56/17.69  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(2236,a,2226,b)].
% 17.56/17.69  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(2236,a,2227,b)].
% 17.56/17.69  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(2236,a,2228,b)].
% 17.56/17.69  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2236,a,2229,b)].
% 17.56/17.69  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(2236,a,2230,b)].
% 17.64/17.69  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2236,a,2231,b)].
% 17.64/17.69  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2236,a,2232,b)].
% 17.64/17.69  2237 -class_OrderedGroup_Olordered__ab__group(A) | c_LOrder_Omeet(B,c_uminus(B,A),A) != c_0 | B = c_0 # label(cls_OrderedGroup_Omeet__0__eq__0_0) # label(axiom).  [assumption].
% 17.64/17.69  Derived: c_LOrder_Omeet(A,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(2237,a,2221,a)].
% 17.64/17.69  Derived: c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2237,a,2226,b)].
% 17.64/17.69  Derived: c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2237,a,2227,b)].
% 17.64/17.69  Derived: c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2237,a,2228,b)].
% 17.64/17.69  Derived: c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2237,a,2229,b)].
% 17.64/17.69  Derived: c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(2237,a,2230,b)].
% 17.64/17.69  Derived: c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2237,a,2231,b)].
% 17.64/17.69  Derived: c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2237,a,2232,b)].
% 17.64/17.69  2238 -class_OrderedGroup_Olordered__ab__group(A) | c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 # label(cls_OrderedGroup_Omeet__0__eq__0_1) # label(axiom).  [assumption].
% 17.64/17.69  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint) = c_0.  [resolve(2238,a,2221,a)].
% 17.64/17.69  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(2238,a,2226,b)].
% 17.64/17.69  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(2238,a,2227,b)].
% 17.64/17.71  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(2238,a,2228,b)].
% 17.64/17.71  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2238,a,2229,b)].
% 17.64/17.71  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(2238,a,2230,b)].
% 17.64/17.71  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2238,a,2231,b)].
% 17.64/17.71  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2238,a,2232,b)].
% 17.64/17.71  2239 -class_OrderedGroup_Olordered__ab__group(A) | c_uminus(c_LOrder_Ojoin(B,C,A),A) = c_LOrder_Omeet(c_uminus(B,A),c_uminus(C,A),A) # label(cls_OrderedGroup_Oneg__join__eq__meet_0) # label(axiom).  [assumption].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Ojoin(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_LOrder_Omeet(c_uminus(A,tc_IntDef_Oint),c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2239,a,2221,a)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2239,a,2226,b)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2239,a,2227,b)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2239,a,2228,b)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2239,a,2229,b)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2239,a,2230,b)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2239,a,2231,b)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2239,a,2232,b)].
% 17.64/17.71  2240 -class_OrderedGroup_Olordered__ab__group(A) | c_uminus(c_LOrder_Omeet(B,C,A),A) = c_LOrder_Ojoin(c_uminus(B,A),c_uminus(C,A),A) # label(cls_OrderedGroup_Oneg__meet__eq__join_0) # label(axiom).  [assumption].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Omeet(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_LOrder_Ojoin(c_uminus(A,tc_IntDef_Oint),c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2240,a,2221,a)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2240,a,2226,b)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2240,a,2227,b)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2240,a,2228,b)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2240,a,2229,b)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2240,a,2230,b)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2240,a,2231,b)].
% 17.64/17.71  Derived: c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2240,a,2232,b)].
% 17.64/17.71  2241 -class_OrderedGroup_Olordered__ab__group(A) | c_OrderedGroup_Onprt(c_0,A) = c_0 # label(cls_OrderedGroup_Onprt__0_0) # label(axiom).  [assumption].
% 17.64/17.71  Derived: c_OrderedGroup_Onprt(c_0,tc_IntDef_Oint) = c_0.  [resolve(2241,a,2221,a)].
% 17.64/17.71  Derived: c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(2241,a,2226,b)].
% 17.64/17.72  Derived: c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(2241,a,2227,b)].
% 17.64/17.72  Derived: c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(2241,a,2228,b)].
% 17.64/17.72  Derived: c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2241,a,2229,b)].
% 17.64/17.72  Derived: c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(2241,a,2230,b)].
% 17.64/17.72  Derived: c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2241,a,2231,b)].
% 17.64/17.72  Derived: c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2241,a,2232,b)].
% 17.64/17.72  2242 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(c_0,B,A) | c_OrderedGroup_Onprt(B,A) = c_0 # label(cls_OrderedGroup_Onprt__eq__0_0) # label(axiom).  [assumption].
% 17.64/17.72  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_OrderedGroup_Onprt(A,tc_IntDef_Oint) = c_0.  [resolve(2242,a,2221,a)].
% 17.64/17.72  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2242,a,2226,b)].
% 17.64/17.72  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2242,a,2227,b)].
% 17.64/17.72  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2242,a,2228,b)].
% 17.64/17.72  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2242,a,2229,b)].
% 17.64/17.72  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(2242,a,2230,b)].
% 17.64/17.72  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2242,a,2231,b)].
% 17.64/17.72  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2242,a,2232,b)].
% 17.64/17.72  2243 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,c_0,A) | c_OrderedGroup_Onprt(B,A) = B # label(cls_OrderedGroup_Onprt__eq__id_0) # label(axiom).  [assumption].
% 17.64/17.72  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_OrderedGroup_Onprt(A,tc_IntDef_Oint) = A.  [resolve(2243,a,2221,a)].
% 17.64/17.72  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2243,a,2226,b)].
% 17.64/17.72  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2243,a,2227,b)].
% 17.64/17.72  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2243,a,2228,b)].
% 17.64/17.72  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2243,a,2229,b)].
% 17.64/17.72  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(2243,a,2230,b)].
% 17.64/17.72  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2243,a,2231,b)].
% 17.64/17.72  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2243,a,2232,b)].
% 17.64/17.72  2244 -class_OrderedGroup_Olordered__ab__group(A) | c_lessequals(c_OrderedGroup_Onprt(B,A),c_0,A) # label(cls_OrderedGroup_Onprt__le__zero_0) # label(axiom).  [assumption].
% 17.64/17.72  Derived: c_lessequals(c_OrderedGroup_Onprt(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(2244,a,2221,a)].
% 17.64/17.72  Derived: c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2244,a,2226,b)].
% 17.64/17.72  Derived: c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2244,a,2227,b)].
% 17.64/17.72  Derived: c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2244,a,2228,b)].
% 17.64/17.72  Derived: c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2244,a,2229,b)].
% 17.64/17.74  Derived: c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2244,a,2230,b)].
% 17.64/17.74  Derived: c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2244,a,2231,b)].
% 17.64/17.74  Derived: c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2244,a,2232,b)].
% 17.64/17.74  2245 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,C,A) | c_lessequals(c_OrderedGroup_Onprt(B,A),c_OrderedGroup_Onprt(C,A),A) # label(cls_OrderedGroup_Onprt__mono_0) # label(axiom).  [assumption].
% 17.64/17.74  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_OrderedGroup_Onprt(A,tc_IntDef_Oint),c_OrderedGroup_Onprt(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2245,a,2221,a)].
% 17.64/17.74  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2245,a,2226,b)].
% 17.64/17.74  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2245,a,2227,b)].
% 17.64/17.74  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2245,a,2228,b)].
% 17.64/17.74  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2245,a,2229,b)].
% 17.64/17.74  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2245,a,2230,b)].
% 17.64/17.74  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2245,a,2231,b)].
% 17.64/17.74  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2245,a,2232,b)].
% 17.64/17.74  2246 -class_OrderedGroup_Olordered__ab__group(A) | c_OrderedGroup_Opprt(c_0,A) = c_0 # label(cls_OrderedGroup_Opprt__0_0) # label(axiom).  [assumption].
% 17.64/17.74  Derived: c_OrderedGroup_Opprt(c_0,tc_IntDef_Oint) = c_0.  [resolve(2246,a,2221,a)].
% 17.64/17.74  Derived: c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(2246,a,2226,b)].
% 17.64/17.74  Derived: c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(2246,a,2227,b)].
% 17.64/17.74  Derived: c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(2246,a,2228,b)].
% 17.64/17.74  Derived: c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2246,a,2229,b)].
% 17.64/17.74  Derived: c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(2246,a,2230,b)].
% 17.64/17.74  Derived: c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2246,a,2231,b)].
% 17.64/17.74  Derived: c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2246,a,2232,b)].
% 17.64/17.74  2247 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,c_0,A) | c_OrderedGroup_Opprt(B,A) = c_0 # label(cls_OrderedGroup_Opprt__eq__0_0) # label(axiom).  [assumption].
% 17.64/17.74  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_OrderedGroup_Opprt(A,tc_IntDef_Oint) = c_0.  [resolve(2247,a,2221,a)].
% 17.64/17.74  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2247,a,2226,b)].
% 17.64/17.74  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2247,a,2227,b)].
% 17.64/17.74  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2247,a,2228,b)].
% 17.64/17.74  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2247,a,2229,b)].
% 17.64/17.74  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(2247,a,2230,b)].
% 17.64/17.75  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2247,a,2231,b)].
% 17.64/17.75  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2247,a,2232,b)].
% 17.64/17.75  2248 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(c_0,B,A) | c_OrderedGroup_Opprt(B,A) = B # label(cls_OrderedGroup_Opprt__eq__id_0) # label(axiom).  [assumption].
% 17.64/17.75  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_OrderedGroup_Opprt(A,tc_IntDef_Oint) = A.  [resolve(2248,a,2221,a)].
% 17.64/17.75  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2248,a,2226,b)].
% 17.64/17.75  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2248,a,2227,b)].
% 17.64/17.75  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2248,a,2228,b)].
% 17.64/17.75  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2248,a,2229,b)].
% 17.64/17.75  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(2248,a,2230,b)].
% 17.64/17.75  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2248,a,2231,b)].
% 17.64/17.75  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2248,a,2232,b)].
% 17.64/17.75  2249 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,C,A) | c_lessequals(c_OrderedGroup_Opprt(B,A),c_OrderedGroup_Opprt(C,A),A) # label(cls_OrderedGroup_Opprt__mono_0) # label(axiom).  [assumption].
% 17.64/17.75  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_OrderedGroup_Opprt(A,tc_IntDef_Oint),c_OrderedGroup_Opprt(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2249,a,2221,a)].
% 17.64/17.75  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2249,a,2226,b)].
% 17.64/17.75  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2249,a,2227,b)].
% 17.64/17.75  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2249,a,2228,b)].
% 17.64/17.75  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2249,a,2229,b)].
% 17.64/17.75  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2249,a,2230,b)].
% 17.64/17.75  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2249,a,2231,b)].
% 17.64/17.75  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2249,a,2232,b)].
% 17.64/17.75  2250 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(c_0,c_plus(B,B,A),A) | c_lessequals(c_0,B,A) # label(cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_0) # label(axiom).  [assumption].
% 17.64/17.75  Derived: -c_lessequals(c_0,c_plus(A,A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,A,tc_IntDef_Oint).  [resolve(2250,a,2221,a)].
% 17.64/17.75  Derived: -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2250,a,2226,b)].
% 17.64/17.75  Derived: -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2250,a,2227,b)].
% 17.64/17.75  Derived: -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2250,a,2228,b)].
% 17.73/17.79  Derived: -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2250,a,2229,b)].
% 17.73/17.79  Derived: -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2250,a,2230,b)].
% 17.73/17.79  Derived: -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2250,a,2231,b)].
% 17.73/17.79  Derived: -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2250,a,2232,b)].
% 17.73/17.79  2251 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(c_0,B,A) | c_lessequals(c_0,c_plus(B,B,A),A) # label(cls_OrderedGroup_Ozero__le__double__add__iff__zero__le__single__add_1) # label(axiom).  [assumption].
% 17.73/17.79  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_lessequals(c_0,c_plus(A,A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2251,a,2221,a)].
% 17.73/17.79  Derived: -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2251,a,2226,b)].
% 17.73/17.79  Derived: -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2251,a,2227,b)].
% 17.73/17.79  Derived: -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2251,a,2228,b)].
% 17.73/17.79  Derived: -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2251,a,2229,b)].
% 17.73/17.79  Derived: -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2251,a,2230,b)].
% 17.73/17.79  Derived: -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2251,a,2231,b)].
% 17.73/17.79  Derived: -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2251,a,2232,b)].
% 17.73/17.79  2252 -class_OrderedGroup_Olordered__ab__group(A) | c_lessequals(c_0,c_OrderedGroup_Opprt(B,A),A) # label(cls_OrderedGroup_Ozero__le__pprt_0) # label(axiom).  [assumption].
% 17.73/17.79  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2252,a,2221,a)].
% 17.73/17.79  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2252,a,2226,b)].
% 17.73/17.79  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2252,a,2227,b)].
% 17.73/17.79  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2252,a,2228,b)].
% 17.73/17.79  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2252,a,2229,b)].
% 17.73/17.79  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2252,a,2230,b)].
% 17.73/17.79  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2252,a,2231,b)].
% 17.73/17.79  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2252,a,2232,b)].
% 17.73/17.79  2253 -class_OrderedGroup_Olordered__ab__group(A) | c_lessequals(B,B,A).  [resolve(8,b,2,a)].
% 17.73/17.79  2254 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(18,a,8,b)].
% 17.73/17.79  2255 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(33,a,8,b)].
% 17.73/17.79  2256 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(34,a,8,b)].
% 17.73/17.79  2257 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(35,a,8,b)].
% 17.73/17.79  2258 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(36,a,8,b)].
% 17.73/17.79  2259 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(37,a,8,b)].
% 17.73/17.79  2260 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(38,a,8,b)].
% 17.86/17.99  2261 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(39,a,8,b)].
% 17.86/17.99  2262 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(40,a,8,b)].
% 17.86/17.99  2263 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(41,a,8,b)].
% 17.86/17.99  2264 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(42,a,8,b)].
% 17.86/17.99  2265 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Oab__semigroup__add(A).  [resolve(150,b,147,a)].
% 17.86/17.99  2266 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Osemigroup__add(A).  [resolve(150,b,148,a)].
% 17.86/17.99  2267 c_plus(A,c_0,B) = A | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(183,a,150,b)].
% 17.86/17.99  2268 c_plus(c_0,A,B) = A | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(184,a,150,b)].
% 17.86/17.99  2269 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(307,a,277,b)].
% 17.86/17.99  2270 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(308,a,277,b)].
% 17.86/17.99  2271 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(346,b,316,b)].
% 17.86/17.99  2272 c_LOrder_Omeet(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1087,a,1073,b)].
% 17.86/17.99  2273 c_LOrder_Ojoin(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1118,a,1104,b)].
% 17.86/17.99  2274 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1161,b,1134,b)].
% 17.86/17.99  2275 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(1162,b,1134,b)].
% 17.86/17.99  2276 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1163,b,1134,b)].
% 17.86/17.99  2277 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1164,c,1134,b)].
% 17.86/17.99  2278 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1165,b,1134,b)].
% 17.86/17.99  2279 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1166,c,1134,b)].
% 17.86/17.99  2280 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1167,c,1134,b)].
% 17.86/17.99  2281 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1168,c,1134,b)].
% 17.86/17.99  2282 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1169,c,1134,b)].
% 17.86/17.99  2283 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1170,c,1134,b)].
% 17.86/17.99  2284 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1171,c,1134,b)].
% 17.86/17.99  2285 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1172,b,1134,b)].
% 17.86/17.99  2286 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1340,c,1310,b)].
% 17.86/17.99  2287 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1341,c,1310,b)].
% 17.86/17.99  2288 class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(1342,a,1310,b)].
% 17.86/17.99  2289 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1362,a,1346,b)].
% 17.86/17.99  2290 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1363,a,1346,b)].
% 18.22/18.31  2291 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1364,a,1346,b)].
% 18.22/18.31  2292 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1365,a,1346,b)].
% 18.22/18.31  2293 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1366,a,1346,b)].
% 18.22/18.31  2294 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1367,a,1346,b)].
% 18.22/18.31  2295 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1368,a,1346,b)].
% 18.22/18.31  2296 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1369,a,1346,b)].
% 18.22/18.31  2297 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(1384,b,1346,b)].
% 18.22/18.31  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2297,b,2229,b)].
% 18.22/18.31  2298 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1386,b,1346,b)].
% 18.22/18.31  2299 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group(A).  [resolve(1387,b,1346,b)].
% 18.22/18.31  2300 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1388,b,1346,b)].
% 18.22/18.31  2301 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1389,c,1346,b)].
% 18.22/18.31  2302 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1390,b,1346,b)].
% 18.22/18.31  2303 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1391,c,1346,b)].
% 18.22/18.31  2304 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1392,c,1346,b)].
% 18.22/18.31  2305 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1393,c,1346,b)].
% 18.22/18.31  2306 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1394,c,1346,b)].
% 18.22/18.31  2307 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1395,c,1346,b)].
% 18.22/18.31  2308 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1396,c,1346,b)].
% 18.22/18.31  2309 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group(B).  [resolve(1397,b,1346,b)].
% 18.22/18.31  2310 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1398,c,1346,b)].
% 18.22/18.31  2311 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group(C).  [resolve(1399,c,1346,b)].
% 18.22/18.31  2312 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_1) # label(axiom).  [assumption].
% 18.22/18.31  2313 class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_49) # label(axiom).  [assumption].
% 18.22/18.31  2314 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Opordered__ring(A) # label(clsrel_Ring__and__Field_Olordered__ring_0) # label(axiom).  [assumption].
% 18.22/18.31  2315 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Opordered__ring(A) # label(clsrel_Ring__and__Field_Oordered__field_44) # label(axiom).  [assumption].
% 18.22/18.31  2316 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Opordered__ring(A) # label(clsrel_Ring__and__Field_Oordered__idom_49) # label(axiom).  [assumption].
% 18.22/18.31  2317 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Opordered__ring(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_32) # label(axiom).  [assumption].
% 18.34/18.40  2318 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_11) # label(axiom).  [assumption].
% 18.34/18.40  2319 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_12) # label(axiom).  [assumption].
% 18.34/18.40  2320 -class_Ring__and__Field_Opordered__ring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Opordered__ring_18) # label(axiom).  [assumption].
% 18.34/18.40  2321 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_19) # label(axiom).  [assumption].
% 18.34/18.40  Derived: class_OrderedGroup_Opordered__ab__group__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(2321,a,2315,b)].
% 18.34/18.40  Derived: class_OrderedGroup_Opordered__ab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2321,a,2316,b)].
% 18.34/18.40  Derived: class_OrderedGroup_Opordered__ab__group__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2321,a,2317,b)].
% 18.34/18.40  2322 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__ring_8) # label(axiom).  [assumption].
% 18.34/18.40  2323 -class_Ring__and__Field_Opordered__ring(A) | c_lessequals(B,B,A).  [resolve(30,b,2,a)].
% 18.34/18.40  2324 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(33,a,30,b)].
% 18.34/18.40  2325 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(34,a,30,b)].
% 18.34/18.40  2326 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(35,a,30,b)].
% 18.34/18.40  2327 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(36,a,30,b)].
% 18.34/18.40  2328 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(37,a,30,b)].
% 18.34/18.40  2329 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(38,a,30,b)].
% 18.34/18.40  2330 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(39,a,30,b)].
% 18.34/18.40  2331 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(40,a,30,b)].
% 18.34/18.40  2332 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(41,a,30,b)].
% 18.34/18.40  2333 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(42,a,30,b)].
% 18.34/18.40  2334 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(71,a,96,b)].
% 18.34/18.40  2335 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(100,a,96,b)].
% 18.34/18.40  2336 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(102,a,96,b)].
% 18.34/18.40  2337 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(108,b,96,b)].
% 18.34/18.40  2338 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(109,b,96,b)].
% 18.34/18.40  2339 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(183,a,175,b)].
% 18.34/18.40  2340 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(184,a,175,b)].
% 18.34/18.40  2341 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(221,c,209,b)].
% 18.37/18.42  2342 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(222,c,209,b)].
% 18.37/18.42  2343 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(223,a,209,b)].
% 18.37/18.42  2344 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(224,a,209,b)].
% 18.37/18.42  2345 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(226,b,209,b)].
% 18.37/18.42  2346 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(227,b,209,b)].
% 18.37/18.42  2347 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(307,a,302,b)].
% 18.37/18.42  2348 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(308,a,302,b)].
% 18.37/18.42  2349 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(346,b,341,b)].
% 18.37/18.42  2350 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Opordered__ring(B).  [resolve(380,a,371,b)].
% 18.37/18.42  2351 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Opordered__ring(B).  [resolve(381,a,371,b)].
% 18.37/18.42  2352 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(386,b,371,b)].
% 18.37/18.42  2353 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(389,c,371,b)].
% 18.37/18.42  2354 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(390,c,371,b)].
% 18.37/18.42  2355 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(391,b,371,b)].
% 18.37/18.42  2356 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(410,a,405,b)].
% 18.37/18.42  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2356,b,2314,b)].
% 18.37/18.42  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(2356,b,2315,b)].
% 18.37/18.42  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2356,b,2316,b)].
% 18.37/18.42  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2356,b,2317,b)].
% 18.37/18.42  2357 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(413,b,405,b)].
% 18.37/18.42  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2357,c,2314,b)].
% 18.37/18.42  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2357,c,2317,b)].
% 18.37/18.42  2358 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(414,b,405,b)].
% 18.37/18.42  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2358,c,2314,b)].
% 18.37/18.42  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2358,c,2317,b)].
% 18.37/18.42  2359 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(415,a,405,b)].
% 18.53/18.59  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2359,b,2314,b)].
% 18.53/18.59  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2359,b,2317,b)].
% 18.53/18.59  2360 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(416,a,405,b)].
% 18.53/18.59  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2360,b,2314,b)].
% 18.53/18.59  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2360,b,2317,b)].
% 18.53/18.59  2361 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(417,a,405,b)].
% 18.53/18.59  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2361,b,2314,b)].
% 18.53/18.59  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2361,b,2317,b)].
% 18.53/18.59  2362 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(421,b,405,b)].
% 18.53/18.59  2363 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(428,c,405,b)].
% 18.53/18.59  2364 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(429,c,405,b)].
% 18.53/18.59  2365 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(433,b,405,b)].
% 18.53/18.59  2366 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(434,b,405,b)].
% 18.53/18.59  2367 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Opordered__ring(B).  [resolve(439,b,405,b)].
% 18.53/18.59  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2367,b,2314,b)].
% 18.53/18.59  2368 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Opordered__ring(B).  [resolve(440,b,405,b)].
% 18.53/18.59  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2368,b,2314,b)].
% 18.53/18.59  2369 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(441,b,405,b)].
% 18.53/18.59  2370 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(442,c,405,b)].
% 18.53/18.59  2371 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(443,c,405,b)].
% 18.53/18.59  2372 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(444,b,405,b)].
% 18.53/18.59  2373 class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1296,b,1293,b)].
% 18.53/18.59  2374 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1362,a,1361,b)].
% 18.53/18.59  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2374,c,2314,b)].
% 18.53/18.59  2375 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1363,a,1361,b)].
% 18.53/18.59  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2375,c,2314,b)].
% 18.53/18.59  2376 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1364,a,1361,b)].
% 18.53/18.59  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2376,c,2314,b)].
% 18.53/18.59  2377 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1365,a,1361,b)].
% 18.53/18.59  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2377,c,2314,b)].
% 18.53/18.66  2378 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1366,a,1361,b)].
% 18.53/18.66  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2378,c,2314,b)].
% 18.53/18.66  2379 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1367,a,1361,b)].
% 18.53/18.66  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2379,c,2314,b)].
% 18.53/18.66  2380 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1368,a,1361,b)].
% 18.53/18.66  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2380,c,2314,b)].
% 18.53/18.66  2381 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1369,a,1361,b)].
% 18.53/18.66  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2381,c,2314,b)].
% 18.53/18.66  2382 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1385,b,1361,b)].
% 18.53/18.66  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2382,b,2314,b)].
% 18.53/18.66  2383 c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1386,b,1361,b)].
% 18.53/18.66  2384 class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1387,b,1361,b)].
% 18.53/18.66  2385 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1388,b,1361,b)].
% 18.53/18.66  2386 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1389,c,1361,b)].
% 18.53/18.66  2387 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1390,b,1361,b)].
% 18.53/18.66  2388 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1391,c,1361,b)].
% 18.53/18.66  2389 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1392,c,1361,b)].
% 18.53/18.66  2390 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1393,c,1361,b)].
% 18.53/18.66  2391 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1394,c,1361,b)].
% 18.53/18.66  2392 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1395,c,1361,b)].
% 18.53/18.66  2393 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1396,c,1361,b)].
% 18.53/18.66  2394 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1397,b,1361,b)].
% 18.53/18.66  2395 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1398,c,1361,b)].
% 18.53/18.66  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2395,c,2314,b)].
% 18.53/18.66  2396 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1399,c,1361,b)].
% 18.53/18.66  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2396,c,2314,b)].
% 18.53/18.66  2397 c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1631,b,1596,b)].
% 18.53/18.66  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2397,b,2314,b)].
% 18.53/18.66  2398 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1632,b,1596,b)].
% 18.53/18.66  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2398,b,2314,b)].
% 18.53/18.66  2399 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1633,c,1596,b)].
% 18.63/18.68  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2399,c,2314,b)].
% 18.63/18.68  2400 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1634,b,1596,b)].
% 18.63/18.68  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2400,b,2314,b)].
% 18.63/18.68  2401 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1635,c,1596,b)].
% 18.63/18.68  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2401,c,2314,b)].
% 18.63/18.68  2402 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1636,c,1596,b)].
% 18.63/18.68  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2402,c,2314,b)].
% 18.63/18.68  2403 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1637,c,1596,b)].
% 18.63/18.68  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2403,c,2314,b)].
% 18.63/18.68  2404 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1638,c,1596,b)].
% 18.63/18.68  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2404,c,2314,b)].
% 18.63/18.68  2405 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1639,c,1596,b)].
% 18.63/18.68  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2405,c,2314,b)].
% 18.63/18.68  2406 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Opordered__ring(C).  [resolve(1640,c,1596,b)].
% 18.63/18.68  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2406,c,2314,b)].
% 18.63/18.68  2407 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1641,b,1596,b)].
% 18.63/18.68  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2407,b,2314,b)].
% 18.63/18.68  2408 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1642,b,1596,b)].
% 18.63/18.68  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2408,b,2314,b)].
% 18.63/18.68  2409 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1643,c,1596,b)].
% 18.63/18.68  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2409,c,2314,b)].
% 18.63/18.68  2410 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1644,c,1596,b)].
% 18.63/18.68  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2410,c,2314,b)].
% 18.82/18.95  2411 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1645,b,1596,b)].
% 18.82/18.95  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2411,b,2314,b)].
% 18.82/18.95  2412 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Opordered__ring(B).  [resolve(1646,b,1596,b)].
% 18.82/18.95  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2412,b,2314,b)].
% 18.82/18.95  2413 class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__ring(A).  [resolve(1647,b,1596,b)].
% 18.82/18.95  Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2413,b,2314,b)].
% 18.82/18.95  2414 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OatLeastAtMost(C,D,A),A) | c_lessequals(C,B,A) # label(cls_SetInterval_OatLeastAtMost__iff_0) # label(axiom).  [assumption].
% 18.82/18.95  2415 class_Orderings_Oord(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_5) # label(axiom).  [assumption].
% 18.82/18.95  2416 class_Orderings_Oord(tc_nat) # label(clsarity_nat_2) # label(axiom).  [assumption].
% 18.82/18.95  2417 class_Orderings_Oord(tc_set(A)) # label(clsarity_set_1) # label(axiom).  [assumption].
% 18.82/18.95  2418 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_18) # label(axiom).  [assumption].
% 18.82/18.95  2419 -class_OrderedGroup_Olordered__ab__group__join(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_9) # label(axiom).  [assumption].
% 18.82/18.95  2420 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_9) # label(axiom).  [assumption].
% 18.82/18.95  2421 -class_OrderedGroup_Opordered__ab__group__add(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_11) # label(axiom).  [assumption].
% 18.82/18.95  2422 -class_Ring__and__Field_Olordered__ring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Olordered__ring_11) # label(axiom).  [assumption].
% 18.82/18.95  2423 -class_Ring__and__Field_Oordered__field(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oordered__field_59) # label(axiom).  [assumption].
% 18.82/18.95  2424 -class_Ring__and__Field_Oordered__idom(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oordered__idom_45) # label(axiom).  [assumption].
% 18.82/18.95  2425 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_27) # label(axiom).  [assumption].
% 18.82/18.95  2426 -class_Ring__and__Field_Oordered__semidom(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oordered__semidom_39) # label(axiom).  [assumption].
% 18.82/18.95  2427 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_24) # label(axiom).  [assumption].
% 18.82/18.95  2428 -class_Wellfounded__Recursion_Owellorder(A) | class_Orderings_Oord(A) # label(clsrel_Wellfounded__Recursion_Owellorder_0) # label(axiom).  [assumption].
% 18.82/18.95  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(2414,a,2415,a)].
% 18.82/18.95  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(2414,a,2416,a)].
% 18.82/18.95  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,tc_set(D)),tc_set(D)) | c_lessequals(B,A,tc_set(D)).  [resolve(2414,a,2417,a)].
% 18.82/18.95  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2414,a,2418,b)].
% 18.82/18.95  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2414,a,2419,b)].
% 18.82/18.95  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2414,a,2420,b)].
% 18.82/18.95  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Opordered__ab__group__add(D).  [resolve(2414,a,2421,b)].
% 18.82/18.95  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2414,a,2422,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(2414,a,2423,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2414,a,2424,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2414,a,2425,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2414,a,2426,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Opordered__comm__ring(D).  [resolve(2414,a,2427,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2414,a,2428,b)].
% 18.92/18.97  2429 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OatLeastAtMost(C,D,A),A) | c_lessequals(B,D,A) # label(cls_SetInterval_OatLeastAtMost__iff_1) # label(axiom).  [assumption].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(2429,a,2415,a)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,tc_nat),tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(2429,a,2416,a)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,tc_set(D)),tc_set(D)) | c_lessequals(A,C,tc_set(D)).  [resolve(2429,a,2417,a)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2429,a,2418,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2429,a,2419,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2429,a,2420,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Opordered__ab__group__add(D).  [resolve(2429,a,2421,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2429,a,2422,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(2429,a,2423,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2429,a,2424,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2429,a,2425,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2429,a,2426,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Opordered__comm__ring(D).  [resolve(2429,a,2427,b)].
% 18.92/18.97  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2429,a,2428,b)].
% 18.92/18.97  2430 -class_Orderings_Oord(A) | -c_lessequals(B,C,A) | -c_lessequals(D,B,A) | c_in(B,c_SetInterval_OatLeastAtMost(D,C,A),A) # label(cls_SetInterval_OatLeastAtMost__iff_2) # label(axiom).  [assumption].
% 18.92/18.97  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatLeastAtMost(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2430,a,2415,a)].
% 18.92/18.97  Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,A,tc_nat) | c_in(A,c_SetInterval_OatLeastAtMost(C,B,tc_nat),tc_nat).  [resolve(2430,a,2416,a)].
% 18.92/18.97  Derived: -c_lessequals(A,B,tc_set(C)) | -c_lessequals(D,A,tc_set(C)) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,tc_set(C)),tc_set(C)).  [resolve(2430,a,2417,a)].
% 18.92/18.97  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2430,a,2418,b)].
% 18.92/18.97  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2430,a,2419,b)].
% 18.92/18.98  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2430,a,2420,b)].
% 18.92/18.98  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(2430,a,2421,b)].
% 18.92/18.98  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2430,a,2422,b)].
% 18.92/18.98  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2430,a,2423,b)].
% 18.92/18.98  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2430,a,2424,b)].
% 18.92/18.98  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2430,a,2425,b)].
% 18.92/18.98  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2430,a,2426,b)].
% 18.92/18.98  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(2430,a,2427,b)].
% 18.92/18.98  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2430,a,2428,b)].
% 18.92/18.98  2431 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OatLeastLessThan(C,D,A),A) | c_lessequals(C,B,A) # label(cls_SetInterval_OatLeastLessThan__iff_0) # label(axiom).  [assumption].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(2431,a,2415,a)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(2431,a,2416,a)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,tc_set(D)),tc_set(D)) | c_lessequals(B,A,tc_set(D)).  [resolve(2431,a,2417,a)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2431,a,2418,b)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2431,a,2419,b)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2431,a,2420,b)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Opordered__ab__group__add(D).  [resolve(2431,a,2421,b)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2431,a,2422,b)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(2431,a,2423,b)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2431,a,2424,b)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2431,a,2425,b)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2431,a,2426,b)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Opordered__comm__ring(D).  [resolve(2431,a,2427,b)].
% 18.92/18.98  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2431,a,2428,b)].
% 18.92/18.98  2432 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OatLeastLessThan(C,D,A),A) | c_less(B,D,A) # label(cls_SetInterval_OatLeastLessThan__iff_1) # label(axiom).  [assumption].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(2432,a,2415,a)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,tc_nat),tc_nat) | c_less(A,C,tc_nat).  [resolve(2432,a,2416,a)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,tc_set(D)),tc_set(D)) | c_less(A,C,tc_set(D)).  [resolve(2432,a,2417,a)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2432,a,2418,b)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2432,a,2419,b)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2432,a,2420,b)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Opordered__ab__group__add(D).  [resolve(2432,a,2421,b)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2432,a,2422,b)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(2432,a,2423,b)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2432,a,2424,b)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2432,a,2425,b)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2432,a,2426,b)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Opordered__comm__ring(D).  [resolve(2432,a,2427,b)].
% 18.92/18.99  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2432,a,2428,b)].
% 18.92/18.99  2433 -class_Orderings_Oord(A) | -c_less(B,C,A) | -c_lessequals(D,B,A) | c_in(B,c_SetInterval_OatLeastLessThan(D,C,A),A) # label(cls_SetInterval_OatLeastLessThan__iff_2) # label(axiom).  [assumption].
% 18.92/18.99  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatLeastLessThan(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2433,a,2415,a)].
% 18.92/18.99  Derived: -c_less(A,B,tc_nat) | -c_lessequals(C,A,tc_nat) | c_in(A,c_SetInterval_OatLeastLessThan(C,B,tc_nat),tc_nat).  [resolve(2433,a,2416,a)].
% 18.92/18.99  Derived: -c_less(A,B,tc_set(C)) | -c_lessequals(D,A,tc_set(C)) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,tc_set(C)),tc_set(C)).  [resolve(2433,a,2417,a)].
% 18.92/18.99  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2433,a,2418,b)].
% 18.92/18.99  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2433,a,2419,b)].
% 18.92/18.99  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2433,a,2420,b)].
% 18.92/18.99  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(2433,a,2421,b)].
% 18.92/18.99  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2433,a,2422,b)].
% 18.92/18.99  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2433,a,2423,b)].
% 18.92/18.99  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2433,a,2424,b)].
% 18.92/18.99  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2433,a,2425,b)].
% 18.96/19.01  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2433,a,2426,b)].
% 18.96/19.01  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(2433,a,2427,b)].
% 18.96/19.01  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2433,a,2428,b)].
% 18.96/19.01  2434 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A) # label(cls_SetInterval_OatLeast__iff_0) # label(axiom).  [assumption].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(2434,a,2415,a)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(2434,a,2416,a)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_set(C)),tc_set(C)) | c_lessequals(B,A,tc_set(C)).  [resolve(2434,a,2417,a)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2434,a,2418,b)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2434,a,2419,b)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2434,a,2420,b)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(2434,a,2421,b)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2434,a,2422,b)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2434,a,2423,b)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2434,a,2424,b)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2434,a,2425,b)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2434,a,2426,b)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(2434,a,2427,b)].
% 18.96/19.01  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2434,a,2428,b)].
% 18.96/19.01  2435 -class_Orderings_Oord(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A) # label(cls_SetInterval_OatLeast__iff_1) # label(axiom).  [assumption].
% 18.96/19.01  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2435,a,2415,a)].
% 18.96/19.01  Derived: -c_lessequals(A,B,tc_nat) | c_in(B,c_SetInterval_OatLeast(A,tc_nat),tc_nat).  [resolve(2435,a,2416,a)].
% 18.96/19.01  Derived: -c_lessequals(A,B,tc_set(C)) | c_in(B,c_SetInterval_OatLeast(A,tc_set(C)),tc_set(C)).  [resolve(2435,a,2417,a)].
% 18.96/19.01  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2435,a,2418,b)].
% 18.96/19.01  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2435,a,2419,b)].
% 18.96/19.01  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2435,a,2420,b)].
% 18.96/19.01  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(2435,a,2421,b)].
% 18.96/19.01  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2435,a,2422,b)].
% 18.96/19.03  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2435,a,2423,b)].
% 18.96/19.03  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2435,a,2424,b)].
% 18.96/19.03  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2435,a,2425,b)].
% 18.96/19.03  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2435,a,2426,b)].
% 18.96/19.03  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(2435,a,2427,b)].
% 18.96/19.03  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2435,a,2428,b)].
% 18.96/19.03  2436 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A) # label(cls_SetInterval_OatMost__iff_0) # label(axiom).  [assumption].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(2436,a,2415,a)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat).  [resolve(2436,a,2416,a)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,tc_set(C)),tc_set(C)) | c_lessequals(A,B,tc_set(C)).  [resolve(2436,a,2417,a)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2436,a,2418,b)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2436,a,2419,b)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2436,a,2420,b)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(2436,a,2421,b)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2436,a,2422,b)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2436,a,2423,b)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2436,a,2424,b)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2436,a,2425,b)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2436,a,2426,b)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(2436,a,2427,b)].
% 18.96/19.03  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2436,a,2428,b)].
% 18.96/19.03  2437 -class_Orderings_Oord(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A) # label(cls_SetInterval_OatMost__iff_1) # label(axiom).  [assumption].
% 18.96/19.03  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2437,a,2415,a)].
% 18.96/19.03  Derived: -c_lessequals(A,B,tc_nat) | c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat).  [resolve(2437,a,2416,a)].
% 18.96/19.03  Derived: -c_lessequals(A,B,tc_set(C)) | c_in(A,c_SetInterval_OatMost(B,tc_set(C)),tc_set(C)).  [resolve(2437,a,2417,a)].
% 18.96/19.03  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2437,a,2418,b)].
% 18.96/19.03  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2437,a,2419,b)].
% 18.96/19.03  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2437,a,2420,b)].
% 18.96/19.03  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(2437,a,2421,b)].
% 19.00/19.04  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2437,a,2422,b)].
% 19.00/19.04  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2437,a,2423,b)].
% 19.00/19.04  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2437,a,2424,b)].
% 19.00/19.04  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2437,a,2425,b)].
% 19.00/19.04  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2437,a,2426,b)].
% 19.00/19.04  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(2437,a,2427,b)].
% 19.00/19.04  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2437,a,2428,b)].
% 19.00/19.04  2438 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OgreaterThanAtMost(C,D,A),A) | c_less(C,B,A) # label(cls_SetInterval_OgreaterThanAtMost__iff_0) # label(axiom).  [assumption].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint).  [resolve(2438,a,2415,a)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,tc_nat),tc_nat) | c_less(B,A,tc_nat).  [resolve(2438,a,2416,a)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,tc_set(D)),tc_set(D)) | c_less(B,A,tc_set(D)).  [resolve(2438,a,2417,a)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2438,a,2418,b)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2438,a,2419,b)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2438,a,2420,b)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Opordered__ab__group__add(D).  [resolve(2438,a,2421,b)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2438,a,2422,b)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(2438,a,2423,b)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2438,a,2424,b)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2438,a,2425,b)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2438,a,2426,b)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Opordered__comm__ring(D).  [resolve(2438,a,2427,b)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2438,a,2428,b)].
% 19.00/19.04  2439 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OgreaterThanAtMost(C,D,A),A) | c_lessequals(B,D,A) # label(cls_SetInterval_OgreaterThanAtMost__iff_1) # label(axiom).  [assumption].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(2439,a,2415,a)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,tc_nat),tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(2439,a,2416,a)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,tc_set(D)),tc_set(D)) | c_lessequals(A,C,tc_set(D)).  [resolve(2439,a,2417,a)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2439,a,2418,b)].
% 19.00/19.04  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2439,a,2419,b)].
% 19.00/19.05  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2439,a,2420,b)].
% 19.00/19.05  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Opordered__ab__group__add(D).  [resolve(2439,a,2421,b)].
% 19.00/19.05  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2439,a,2422,b)].
% 19.00/19.05  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(2439,a,2423,b)].
% 19.00/19.05  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2439,a,2424,b)].
% 19.00/19.05  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2439,a,2425,b)].
% 19.00/19.05  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2439,a,2426,b)].
% 19.00/19.05  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Opordered__comm__ring(D).  [resolve(2439,a,2427,b)].
% 19.00/19.05  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2439,a,2428,b)].
% 19.00/19.05  2440 -class_Orderings_Oord(A) | -c_less(B,C,A) | -c_lessequals(C,D,A) | c_in(C,c_SetInterval_OgreaterThanAtMost(B,D,A),A) # label(cls_SetInterval_OgreaterThanAtMost__iff_2) # label(axiom).  [assumption].
% 19.00/19.05  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_lessequals(B,C,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2440,a,2415,a)].
% 19.00/19.05  Derived: -c_less(A,B,tc_nat) | -c_lessequals(B,C,tc_nat) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,C,tc_nat),tc_nat).  [resolve(2440,a,2416,a)].
% 19.00/19.06  Derived: -c_less(A,B,tc_set(C)) | -c_lessequals(B,D,tc_set(C)) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,tc_set(C)),tc_set(C)).  [resolve(2440,a,2417,a)].
% 19.00/19.06  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2440,a,2418,b)].
% 19.00/19.06  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2440,a,2419,b)].
% 19.00/19.06  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2440,a,2420,b)].
% 19.00/19.06  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(2440,a,2421,b)].
% 19.00/19.06  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2440,a,2422,b)].
% 19.00/19.06  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2440,a,2423,b)].
% 19.00/19.06  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2440,a,2424,b)].
% 19.00/19.06  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2440,a,2425,b)].
% 19.00/19.06  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2440,a,2426,b)].
% 19.00/19.06  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(2440,a,2427,b)].
% 19.00/19.06  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2440,a,2428,b)].
% 19.00/19.07  2441 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OgreaterThanLessThan(C,D,A),A) | c_less(C,B,A) # label(cls_SetInterval_OgreaterThanLessThan__iff_0) # label(axiom).  [assumption].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint).  [resolve(2441,a,2415,a)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,tc_nat),tc_nat) | c_less(B,A,tc_nat).  [resolve(2441,a,2416,a)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,tc_set(D)),tc_set(D)) | c_less(B,A,tc_set(D)).  [resolve(2441,a,2417,a)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2441,a,2418,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2441,a,2419,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2441,a,2420,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Opordered__ab__group__add(D).  [resolve(2441,a,2421,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2441,a,2422,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(2441,a,2423,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2441,a,2424,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2441,a,2425,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2441,a,2426,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Opordered__comm__ring(D).  [resolve(2441,a,2427,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2441,a,2428,b)].
% 19.00/19.07  2442 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OgreaterThanLessThan(C,D,A),A) | c_less(B,D,A) # label(cls_SetInterval_OgreaterThanLessThan__iff_1) # label(axiom).  [assumption].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(2442,a,2415,a)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,tc_nat),tc_nat) | c_less(A,C,tc_nat).  [resolve(2442,a,2416,a)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,tc_set(D)),tc_set(D)) | c_less(A,C,tc_set(D)).  [resolve(2442,a,2417,a)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2442,a,2418,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2442,a,2419,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2442,a,2420,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Opordered__ab__group__add(D).  [resolve(2442,a,2421,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2442,a,2422,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(2442,a,2423,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2442,a,2424,b)].
% 19.00/19.07  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2442,a,2425,b)].
% 19.00/19.08  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2442,a,2426,b)].
% 19.00/19.08  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Opordered__comm__ring(D).  [resolve(2442,a,2427,b)].
% 19.00/19.08  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2442,a,2428,b)].
% 19.00/19.08  2443 -class_Orderings_Oord(A) | -c_less(B,C,A) | -c_less(D,B,A) | c_in(B,c_SetInterval_OgreaterThanLessThan(D,C,A),A) # label(cls_SetInterval_OgreaterThanLessThan__iff_2) # label(axiom).  [assumption].
% 19.00/19.08  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_less(C,A,tc_IntDef_Oint) | c_in(A,c_SetInterval_OgreaterThanLessThan(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2443,a,2415,a)].
% 19.00/19.08  Derived: -c_less(A,B,tc_nat) | -c_less(C,A,tc_nat) | c_in(A,c_SetInterval_OgreaterThanLessThan(C,B,tc_nat),tc_nat).  [resolve(2443,a,2416,a)].
% 19.00/19.08  Derived: -c_less(A,B,tc_set(C)) | -c_less(D,A,tc_set(C)) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,tc_set(C)),tc_set(C)).  [resolve(2443,a,2417,a)].
% 19.00/19.08  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2443,a,2418,b)].
% 19.00/19.08  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2443,a,2419,b)].
% 19.00/19.08  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2443,a,2420,b)].
% 19.00/19.08  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(2443,a,2421,b)].
% 19.00/19.08  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2443,a,2422,b)].
% 19.00/19.08  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2443,a,2423,b)].
% 19.00/19.08  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2443,a,2424,b)].
% 19.00/19.08  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2443,a,2425,b)].
% 19.00/19.08  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2443,a,2426,b)].
% 19.00/19.08  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(2443,a,2427,b)].
% 19.00/19.08  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2443,a,2428,b)].
% 19.00/19.08  2444 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A) # label(cls_SetInterval_OgreaterThan__iff_0) # label(axiom).  [assumption].
% 19.00/19.08  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint).  [resolve(2444,a,2415,a)].
% 19.00/19.08  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_nat),tc_nat) | c_less(B,A,tc_nat).  [resolve(2444,a,2416,a)].
% 19.00/19.08  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_set(C)),tc_set(C)) | c_less(B,A,tc_set(C)).  [resolve(2444,a,2417,a)].
% 19.00/19.08  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2444,a,2418,b)].
% 19.00/19.08  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2444,a,2419,b)].
% 19.00/19.08  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2444,a,2420,b)].
% 19.00/19.08  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(2444,a,2421,b)].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2444,a,2422,b)].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2444,a,2423,b)].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2444,a,2424,b)].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2444,a,2425,b)].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2444,a,2426,b)].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(2444,a,2427,b)].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2444,a,2428,b)].
% 19.06/19.10  2445 -class_Orderings_Oord(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A) # label(cls_SetInterval_OgreaterThan__iff_1) # label(axiom).  [assumption].
% 19.06/19.10  Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2445,a,2415,a)].
% 19.06/19.10  Derived: -c_less(A,B,tc_nat) | c_in(B,c_SetInterval_OgreaterThan(A,tc_nat),tc_nat).  [resolve(2445,a,2416,a)].
% 19.06/19.10  Derived: -c_less(A,B,tc_set(C)) | c_in(B,c_SetInterval_OgreaterThan(A,tc_set(C)),tc_set(C)).  [resolve(2445,a,2417,a)].
% 19.06/19.10  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2445,a,2418,b)].
% 19.06/19.10  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2445,a,2419,b)].
% 19.06/19.10  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2445,a,2420,b)].
% 19.06/19.10  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(2445,a,2421,b)].
% 19.06/19.10  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2445,a,2422,b)].
% 19.06/19.10  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2445,a,2423,b)].
% 19.06/19.10  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2445,a,2424,b)].
% 19.06/19.10  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2445,a,2425,b)].
% 19.06/19.10  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2445,a,2426,b)].
% 19.06/19.10  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(2445,a,2427,b)].
% 19.06/19.10  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2445,a,2428,b)].
% 19.06/19.10  2446 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A) # label(cls_SetInterval_OlessThan__iff_0) # label(axiom).  [assumption].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint).  [resolve(2446,a,2415,a)].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat) | c_less(A,B,tc_nat).  [resolve(2446,a,2416,a)].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_set(C)),tc_set(C)) | c_less(A,B,tc_set(C)).  [resolve(2446,a,2417,a)].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2446,a,2418,b)].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2446,a,2419,b)].
% 19.06/19.10  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2446,a,2420,b)].
% 19.25/19.30  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(2446,a,2421,b)].
% 19.25/19.30  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2446,a,2422,b)].
% 19.25/19.30  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2446,a,2423,b)].
% 19.25/19.30  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2446,a,2424,b)].
% 19.25/19.30  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2446,a,2425,b)].
% 19.25/19.30  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2446,a,2426,b)].
% 19.25/19.30  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(2446,a,2427,b)].
% 19.25/19.30  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2446,a,2428,b)].
% 19.25/19.30  2447 -class_Orderings_Oord(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A) # label(cls_SetInterval_OlessThan__iff_1) # label(axiom).  [assumption].
% 19.25/19.30  Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2447,a,2415,a)].
% 19.25/19.30  Derived: -c_less(A,B,tc_nat) | c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat).  [resolve(2447,a,2416,a)].
% 19.25/19.30  Derived: -c_less(A,B,tc_set(C)) | c_in(A,c_SetInterval_OlessThan(B,tc_set(C)),tc_set(C)).  [resolve(2447,a,2417,a)].
% 19.25/19.30  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2447,a,2418,b)].
% 19.25/19.30  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2447,a,2419,b)].
% 19.25/19.31  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2447,a,2420,b)].
% 19.25/19.31  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C).  [resolve(2447,a,2421,b)].
% 19.25/19.31  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2447,a,2422,b)].
% 19.25/19.31  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2447,a,2423,b)].
% 19.25/19.31  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2447,a,2424,b)].
% 19.25/19.31  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2447,a,2425,b)].
% 19.25/19.31  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2447,a,2426,b)].
% 19.25/19.31  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C).  [resolve(2447,a,2427,b)].
% 19.25/19.31  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2447,a,2428,b)].
% 19.25/19.31  2448 class_Orderings_Oord(tc_IntDef_Oint).  [resolve(18,a,1,a)].
% 19.25/19.31  2449 class_Orderings_Oord(tc_nat).  [resolve(18,a,3,a)].
% 19.25/19.31  2450 class_Orderings_Oord(tc_set(A)).  [resolve(18,a,4,a)].
% 19.25/19.31  2451 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(18,a,9,b)].
% 19.25/19.31  2452 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(18,a,10,b)].
% 19.25/19.31  2453 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(18,a,11,b)].
% 19.25/19.31  2454 class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(18,a,13,b)].
% 19.25/19.31  2455 -class_Wellfounded__Recursion_Owellorder(A) | class_Orderings_Oord(A).  [resolve(32,b,18,a)].
% 19.25/19.31  2456 -class_Ring__and__Field_Olordered__ring(A) | class_Orderings_Oord(A).  [resolve(1079,b,1069,a)].
% 19.69/19.72  2457 class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1089,b,1070,a)].
% 19.69/19.72  2458 class_Orderings_Oord(tc_nat).  [resolve(1089,b,1071,a)].
% 19.69/19.72  2459 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1089,b,1081,b)].
% 19.69/19.72  2460 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1089,b,1082,b)].
% 19.69/19.72  2461 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1089,b,1083,b)].
% 19.69/19.72  2462 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1089,b,1084,b)].
% 19.69/19.72  2463 class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1162,b,1132,a)].
% 19.69/19.72  2464 class_Orderings_Oord(tc_nat).  [resolve(1162,b,1133,a)].
% 19.69/19.72  2465 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(1162,b,1135,b)].
% 19.69/19.72  2466 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(1162,b,1136,b)].
% 19.69/19.72  2467 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(1162,b,1137,b)].
% 19.69/19.72  2468 class_Orderings_Oord(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1162,b,1140,b)].
% 19.69/19.72  2469 class_Orderings_Oord(A) | -class_Wellfounded__Recursion_Owellorder(A).  [resolve(1162,b,1147,b)].
% 19.69/19.72  2470 class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1258,b,1175,a)].
% 19.69/19.72  2471 class_Orderings_Oord(tc_nat).  [resolve(1258,b,1176,a)].
% 19.69/19.72  2472 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1258,b,1179,b)].
% 19.69/19.72  2473 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1258,b,1180,b)].
% 19.69/19.72  2474 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1258,b,1181,b)].
% 19.69/19.72  2475 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1258,b,1182,b)].
% 19.69/19.72  2476 class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(1296,b,1277,b)].
% 19.69/19.72  2477 class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(1296,b,1291,b)].
% 19.69/19.72  2478 class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1387,b,1344,a)].
% 19.69/19.72  2479 class_Orderings_Oord(tc_nat).  [resolve(1387,b,1345,a)].
% 19.69/19.72  2480 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(1387,b,1347,b)].
% 19.69/19.72  2481 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(1387,b,1348,b)].
% 19.69/19.72  2482 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(1387,b,1349,b)].
% 19.69/19.72  2483 class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(1387,b,1351,b)].
% 19.69/19.72  2484 class_Orderings_Oord(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1387,b,1354,b)].
% 19.69/19.72  2485 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1387,b,1356,b)].
% 19.69/19.72  2486 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1387,b,1357,b)].
% 19.69/19.72  2487 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1387,b,1358,b)].
% 19.69/19.72  2488 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1387,b,1359,b)].
% 19.69/19.72  2489 class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1526,b,1401,a)].
% 19.69/19.72  2490 class_Orderings_Oord(tc_nat).  [resolve(1526,b,1402,a)].
% 19.69/19.72  2491 class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1647,b,1583,a)].
% 19.69/19.72  2492 class_Orderings_Oord(tc_nat).  [resolve(1647,b,1584,a)].
% 19.69/19.72  2493 class_Orderings_Oord(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1647,b,1585,b)].
% 19.69/19.72  2494 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1647,b,1587,b)].
% 19.69/19.72  2495 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1647,b,1588,b)].
% 19.69/19.72  2496 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1647,b,1589,b)].
% 19.69/19.72  2497 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1647,b,1590,b)].
% 19.69/19.72  2498 class_Orderings_Oord(tc_IntDef_Oint).  [resolve(1814,b,1649,a)].
% 19.69/19.72  2499 class_Orderings_Oord(tc_nat).  [resolve(1814,b,1650,a)].
% 19.69/19.72  2500 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(1814,b,1652,b)].
% 19.89/19.98  2501 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1814,b,1653,b)].
% 19.89/19.98  2502 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1814,b,1654,b)].
% 19.89/19.98  2503 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1814,b,1655,b)].
% 19.89/19.98  2504 class_Orderings_Oord(A) | -class_Ring__and__Field_Opordered__comm__ring(A).  [resolve(1852,b,1823,b)].
% 19.89/19.98  2505 class_Orderings_Oord(tc_IntDef_Oint).  [resolve(2212,b,1957,a)].
% 19.89/19.98  2506 class_Orderings_Oord(tc_nat).  [resolve(2212,b,1958,a)].
% 19.89/19.98  2507 class_Orderings_Oord(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2413,b,2314,b)].
% 19.89/19.98  2508 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_1) # label(axiom).  [assumption].
% 19.89/19.98  2509 class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_50) # label(axiom).  [assumption].
% 19.89/19.98  2510 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_10) # label(axiom).  [assumption].
% 19.89/19.98  2511 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_12) # label(axiom).  [assumption].
% 19.89/19.98  2512 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_2) # label(axiom).  [assumption].
% 19.89/19.98  2513 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Olordered__ab__group__abs(A) # label(clsrel_Ring__and__Field_Olordered__ring_24) # label(axiom).  [assumption].
% 19.89/19.98  2514 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Olordered__ab__group__abs(A) # label(clsrel_Ring__and__Field_Oordered__field_47) # label(axiom).  [assumption].
% 19.89/19.98  2515 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Olordered__ab__group__abs(A) # label(clsrel_Ring__and__Field_Oordered__idom_50) # label(axiom).  [assumption].
% 19.89/19.98  2516 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Olordered__ab__group__abs(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_33) # label(axiom).  [assumption].
% 19.89/19.98  2517 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_0 != c_HOL_Oabs(B,A) | B = c_0 # label(cls_OrderedGroup_Oabs__0__eq_0) # label(axiom).  [assumption].
% 19.89/19.98  Derived: c_0 != c_HOL_Oabs(A,tc_IntDef_Oint) | A = c_0.  [resolve(2517,a,2509,a)].
% 19.89/19.98  Derived: c_0 != c_HOL_Oabs(A,B) | A = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2517,a,2513,b)].
% 19.89/19.98  Derived: c_0 != c_HOL_Oabs(A,B) | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(2517,a,2514,b)].
% 19.89/19.98  Derived: c_0 != c_HOL_Oabs(A,B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2517,a,2515,b)].
% 19.89/19.98  Derived: c_0 != c_HOL_Oabs(A,B) | A = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2517,a,2516,b)].
% 19.89/19.98  2518 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_0 = c_HOL_Oabs(c_0,A) # label(cls_OrderedGroup_Oabs__0__eq_1) # label(axiom).  [assumption].
% 19.89/19.98  Derived: c_0 = c_HOL_Oabs(c_0,tc_IntDef_Oint).  [resolve(2518,a,2509,a)].
% 19.89/19.98  Derived: c_0 = c_HOL_Oabs(c_0,A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2518,a,2513,b)].
% 19.89/19.98  Derived: c_0 = c_HOL_Oabs(c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(2518,a,2514,b)].
% 19.89/19.98  Derived: c_0 = c_HOL_Oabs(c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2518,a,2515,b)].
% 19.89/19.98  Derived: c_0 = c_HOL_Oabs(c_0,A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2518,a,2516,b)].
% 19.89/19.98  2519 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_HOL_Oabs(c_plus(c_HOL_Oabs(B,A),c_HOL_Oabs(C,A),A),A) = c_plus(c_HOL_Oabs(B,A),c_HOL_Oabs(C,A),A) # label(cls_OrderedGroup_Oabs__add__abs_0) # label(axiom).  [assumption].
% 19.89/19.98  Derived: c_HOL_Oabs(c_plus(c_HOL_Oabs(A,tc_IntDef_Oint),c_HOL_Oabs(B,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_HOL_Oabs(A,tc_IntDef_Oint),c_HOL_Oabs(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2519,a,2509,a)].
% 19.89/20.00  Derived: c_HOL_Oabs(c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B),B) = c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2519,a,2513,b)].
% 19.89/20.00  Derived: c_HOL_Oabs(c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B),B) = c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2519,a,2514,b)].
% 19.89/20.00  Derived: c_HOL_Oabs(c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B),B) = c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2519,a,2515,b)].
% 19.89/20.00  Derived: c_HOL_Oabs(c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B),B) = c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2519,a,2516,b)].
% 19.89/20.00  2520 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_HOL_Oabs(B,A) != c_0 | B = c_0 # label(cls_OrderedGroup_Oabs__eq__0_0) # label(axiom).  [assumption].
% 19.89/20.00  Derived: c_HOL_Oabs(A,tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(2520,a,2509,a)].
% 19.89/20.00  Derived: c_HOL_Oabs(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2520,a,2513,b)].
% 19.89/20.00  Derived: c_HOL_Oabs(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(2520,a,2514,b)].
% 19.89/20.00  Derived: c_HOL_Oabs(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2520,a,2515,b)].
% 19.89/20.00  Derived: c_HOL_Oabs(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2520,a,2516,b)].
% 19.89/20.00  2521 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_HOL_Oabs(c_0,A) = c_0 # label(cls_OrderedGroup_Oabs__eq__0_1) # label(axiom).  [assumption].
% 19.89/20.00  Derived: c_HOL_Oabs(c_0,tc_IntDef_Oint) = c_0.  [resolve(2521,a,2509,a)].
% 19.89/20.00  Derived: c_HOL_Oabs(c_0,A) = c_0 | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2521,a,2513,b)].
% 19.89/20.00  Derived: c_HOL_Oabs(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(2521,a,2514,b)].
% 19.89/20.00  Derived: c_HOL_Oabs(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2521,a,2515,b)].
% 19.89/20.00  Derived: c_HOL_Oabs(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2521,a,2516,b)].
% 19.89/20.00  2522 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_lessequals(c_0,c_HOL_Oabs(B,A),A) # label(cls_OrderedGroup_Oabs__ge__zero_0) # label(axiom).  [assumption].
% 19.89/20.00  Derived: c_lessequals(c_0,c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2522,a,2509,a)].
% 19.89/20.00  Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2522,a,2513,b)].
% 19.89/20.00  Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2522,a,2514,b)].
% 19.89/20.00  Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2522,a,2515,b)].
% 19.89/20.00  Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2522,a,2516,b)].
% 19.89/20.00  2523 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_HOL_Oabs(c_HOL_Oabs(B,A),A) = c_HOL_Oabs(B,A) # label(cls_OrderedGroup_Oabs__idempotent_0) # label(axiom).  [assumption].
% 19.89/20.00  Derived: c_HOL_Oabs(c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint) = c_HOL_Oabs(A,tc_IntDef_Oint).  [resolve(2523,a,2509,a)].
% 19.89/20.00  Derived: c_HOL_Oabs(c_HOL_Oabs(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2523,a,2513,b)].
% 19.89/20.00  Derived: c_HOL_Oabs(c_HOL_Oabs(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2523,a,2514,b)].
% 19.89/20.00  Derived: c_HOL_Oabs(c_HOL_Oabs(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2523,a,2515,b)].
% 19.89/20.00  Derived: c_HOL_Oabs(c_HOL_Oabs(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2523,a,2516,b)].
% 19.89/20.00  2524 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(c_HOL_Oabs(B,A),c_0,A) | B = c_0 # label(cls_OrderedGroup_Oabs__le__zero__iff_0) # label(axiom).  [assumption].
% 19.89/20.00  Derived: -c_lessequals(c_HOL_Oabs(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | A = c_0.  [resolve(2524,a,2509,a)].
% 19.89/20.00  Derived: -c_lessequals(c_HOL_Oabs(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2524,a,2513,b)].
% 19.98/20.02  Derived: -c_lessequals(c_HOL_Oabs(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(2524,a,2514,b)].
% 19.98/20.02  Derived: -c_lessequals(c_HOL_Oabs(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2524,a,2515,b)].
% 19.98/20.02  Derived: -c_lessequals(c_HOL_Oabs(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2524,a,2516,b)].
% 19.98/20.02  2525 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_lessequals(c_HOL_Oabs(c_0,A),c_0,A) # label(cls_OrderedGroup_Oabs__le__zero__iff_1) # label(axiom).  [assumption].
% 19.98/20.02  Derived: c_lessequals(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(2525,a,2509,a)].
% 19.98/20.02  Derived: c_lessequals(c_HOL_Oabs(c_0,A),c_0,A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2525,a,2513,b)].
% 19.98/20.02  Derived: c_lessequals(c_HOL_Oabs(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(2525,a,2514,b)].
% 19.98/20.02  Derived: c_lessequals(c_HOL_Oabs(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2525,a,2515,b)].
% 19.98/20.02  Derived: c_lessequals(c_HOL_Oabs(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2525,a,2516,b)].
% 19.98/20.02  2526 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_HOL_Oabs(c_uminus(B,A),A) = c_HOL_Oabs(B,A) # label(cls_OrderedGroup_Oabs__minus__cancel_0) # label(axiom).  [assumption].
% 19.98/20.02  Derived: c_HOL_Oabs(c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) = c_HOL_Oabs(A,tc_IntDef_Oint).  [resolve(2526,a,2509,a)].
% 19.98/20.02  Derived: c_HOL_Oabs(c_uminus(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2526,a,2513,b)].
% 19.98/20.02  Derived: c_HOL_Oabs(c_uminus(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2526,a,2514,b)].
% 19.98/20.02  Derived: c_HOL_Oabs(c_uminus(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2526,a,2515,b)].
% 19.98/20.02  Derived: c_HOL_Oabs(c_uminus(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2526,a,2516,b)].
% 19.98/20.02  2527 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_less(c_HOL_Oabs(B,A),c_0,A) # label(cls_OrderedGroup_Oabs__not__less__zero_0) # label(axiom).  [assumption].
% 19.98/20.02  Derived: -c_less(c_HOL_Oabs(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(2527,a,2509,a)].
% 19.98/20.02  Derived: -c_less(c_HOL_Oabs(A,B),c_0,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2527,a,2513,b)].
% 19.98/20.02  Derived: -c_less(c_HOL_Oabs(A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2527,a,2514,b)].
% 19.98/20.02  Derived: -c_less(c_HOL_Oabs(A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2527,a,2515,b)].
% 19.98/20.02  Derived: -c_less(c_HOL_Oabs(A,B),c_0,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2527,a,2516,b)].
% 19.98/20.02  2528 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(c_0,B,A) | c_HOL_Oabs(B,A) = B # label(cls_OrderedGroup_Oabs__of__nonneg_0) # label(axiom).  [assumption].
% 19.98/20.02  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_HOL_Oabs(A,tc_IntDef_Oint) = A.  [resolve(2528,a,2509,a)].
% 19.98/20.02  Derived: -c_lessequals(c_0,A,B) | c_HOL_Oabs(A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2528,a,2513,b)].
% 19.98/20.02  Derived: -c_lessequals(c_0,A,B) | c_HOL_Oabs(A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(2528,a,2514,b)].
% 19.98/20.02  Derived: -c_lessequals(c_0,A,B) | c_HOL_Oabs(A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2528,a,2515,b)].
% 19.98/20.02  Derived: -c_lessequals(c_0,A,B) | c_HOL_Oabs(A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2528,a,2516,b)].
% 19.98/20.02  2529 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(B,c_0,A) | c_HOL_Oabs(B,A) = c_uminus(B,A) # label(cls_OrderedGroup_Oabs__of__nonpos_0) # label(axiom).  [assumption].
% 19.98/20.02  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_HOL_Oabs(A,tc_IntDef_Oint) = c_uminus(A,tc_IntDef_Oint).  [resolve(2529,a,2509,a)].
% 19.98/20.02  Derived: -c_lessequals(A,c_0,B) | c_HOL_Oabs(A,B) = c_uminus(A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2529,a,2513,b)].
% 19.98/20.02  Derived: -c_lessequals(A,c_0,B) | c_HOL_Oabs(A,B) = c_uminus(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2529,a,2514,b)].
% 19.98/20.02  Derived: -c_lessequals(A,c_0,B) | c_HOL_Oabs(A,B) = c_uminus(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2529,a,2515,b)].
% 19.98/20.08  Derived: -c_lessequals(A,c_0,B) | c_HOL_Oabs(A,B) = c_uminus(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2529,a,2516,b)].
% 19.98/20.08  2530 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_less(c_0,c_HOL_Oabs(c_0,A),A) # label(cls_OrderedGroup_Ozero__less__abs__iff_0) # label(axiom).  [assumption].
% 19.98/20.08  Derived: -c_less(c_0,c_HOL_Oabs(c_0,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2530,a,2509,a)].
% 19.98/20.08  Derived: -c_less(c_0,c_HOL_Oabs(c_0,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2530,a,2513,b)].
% 19.98/20.08  Derived: -c_less(c_0,c_HOL_Oabs(c_0,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(2530,a,2514,b)].
% 19.98/20.08  Derived: -c_less(c_0,c_HOL_Oabs(c_0,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2530,a,2515,b)].
% 19.98/20.08  Derived: -c_less(c_0,c_HOL_Oabs(c_0,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2530,a,2516,b)].
% 19.98/20.08  2531 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_less(c_0,c_HOL_Oabs(B,A),A) | B = c_0 # label(cls_OrderedGroup_Ozero__less__abs__iff_1) # label(axiom).  [assumption].
% 19.98/20.08  Derived: c_less(c_0,c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_0.  [resolve(2531,a,2509,a)].
% 19.98/20.08  Derived: c_less(c_0,c_HOL_Oabs(A,B),B) | A = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2531,a,2513,b)].
% 19.98/20.08  Derived: c_less(c_0,c_HOL_Oabs(A,B),B) | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(2531,a,2514,b)].
% 19.98/20.08  Derived: c_less(c_0,c_HOL_Oabs(A,B),B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2531,a,2515,b)].
% 19.98/20.08  Derived: c_less(c_0,c_HOL_Oabs(A,B),B) | A = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2531,a,2516,b)].
% 19.98/20.08  2532 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_lessequals(B,B,A).  [resolve(9,b,2,a)].
% 19.98/20.08  2533 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(33,a,9,b)].
% 19.98/20.08  2534 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(34,a,9,b)].
% 19.98/20.08  2535 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(35,a,9,b)].
% 19.98/20.08  2536 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(36,a,9,b)].
% 19.98/20.08  2537 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(37,a,9,b)].
% 19.98/20.08  2538 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(38,a,9,b)].
% 19.98/20.08  2539 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(39,a,9,b)].
% 19.98/20.08  2540 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(40,a,9,b)].
% 19.98/20.08  2541 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(41,a,9,b)].
% 19.98/20.08  2542 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(42,a,9,b)].
% 19.98/20.08  2543 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Oab__semigroup__add(A).  [resolve(151,b,147,a)].
% 19.98/20.08  2544 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Osemigroup__add(A).  [resolve(151,b,148,a)].
% 19.98/20.08  2545 c_plus(A,c_0,B) = A | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(183,a,151,b)].
% 19.98/20.08  2546 c_plus(c_0,A,B) = A | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(184,a,151,b)].
% 19.98/20.08  2547 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(307,a,278,b)].
% 19.98/20.08  2548 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(308,a,278,b)].
% 20.20/20.25  2549 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(346,b,317,b)].
% 20.20/20.25  2550 c_LOrder_Omeet(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1087,a,1074,b)].
% 20.20/20.25  2551 c_LOrder_Ojoin(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1118,a,1105,b)].
% 20.20/20.25  2552 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1161,b,1135,b)].
% 20.20/20.25  2553 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1163,b,1135,b)].
% 20.20/20.25  2554 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1164,c,1135,b)].
% 20.20/20.25  2555 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1165,b,1135,b)].
% 20.20/20.25  2556 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1166,c,1135,b)].
% 20.20/20.25  2557 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1167,c,1135,b)].
% 20.20/20.25  2558 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1168,c,1135,b)].
% 20.20/20.25  2559 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1169,c,1135,b)].
% 20.20/20.25  2560 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1170,c,1135,b)].
% 20.20/20.25  2561 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1171,c,1135,b)].
% 20.20/20.25  2562 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1172,b,1135,b)].
% 20.20/20.25  2563 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1340,c,1311,b)].
% 20.20/20.25  2564 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1341,c,1311,b)].
% 20.20/20.25  2565 class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(1342,a,1311,b)].
% 20.20/20.25  2566 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1362,a,1347,b)].
% 20.20/20.25  2567 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1363,a,1347,b)].
% 20.20/20.25  2568 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1364,a,1347,b)].
% 20.20/20.25  2569 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1365,a,1347,b)].
% 20.20/20.25  2570 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1366,a,1347,b)].
% 20.20/20.25  2571 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1367,a,1347,b)].
% 20.20/20.25  2572 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1368,a,1347,b)].
% 20.20/20.25  2573 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1369,a,1347,b)].
% 20.20/20.25  2574 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(1384,b,1347,b)].
% 20.20/20.25  2575 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1386,b,1347,b)].
% 20.20/20.25  2576 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1388,b,1347,b)].
% 20.20/20.25  2577 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1389,c,1347,b)].
% 20.38/20.42  2578 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1390,b,1347,b)].
% 20.38/20.42  2579 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1391,c,1347,b)].
% 20.38/20.42  2580 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1392,c,1347,b)].
% 20.38/20.42  2581 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1393,c,1347,b)].
% 20.38/20.42  2582 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1394,c,1347,b)].
% 20.38/20.42  2583 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1395,c,1347,b)].
% 20.38/20.42  2584 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1396,c,1347,b)].
% 20.38/20.42  2585 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(1397,b,1347,b)].
% 20.38/20.42  2586 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1398,c,1347,b)].
% 20.38/20.42  2587 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(1399,c,1347,b)].
% 20.38/20.42  2588 -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2233,a,2226,b)].
% 20.38/20.42  Derived: -c_lessequals(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(A,c_0,tc_IntDef_Oint).  [resolve(2588,c,2509,a)].
% 20.38/20.42  2589 -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2234,a,2226,b)].
% 20.38/20.42  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_lessequals(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(2589,c,2509,a)].
% 20.38/20.42  2590 c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2235,a,2226,b)].
% 20.38/20.42  Derived: c_LOrder_Ojoin(A,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(2590,c,2509,a)].
% 20.38/20.42  2591 c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(2236,a,2226,b)].
% 20.38/20.42  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint) = c_0.  [resolve(2591,b,2509,a)].
% 20.38/20.42  2592 c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2237,a,2226,b)].
% 20.38/20.42  Derived: c_LOrder_Omeet(A,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(2592,c,2509,a)].
% 20.38/20.42  2593 c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(2238,a,2226,b)].
% 20.38/20.42  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint) = c_0.  [resolve(2593,b,2509,a)].
% 20.38/20.42  2594 c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2239,a,2226,b)].
% 20.38/20.42  Derived: c_uminus(c_LOrder_Ojoin(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_LOrder_Omeet(c_uminus(A,tc_IntDef_Oint),c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2594,b,2509,a)].
% 20.38/20.42  2595 c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2240,a,2226,b)].
% 20.38/20.42  Derived: c_uminus(c_LOrder_Omeet(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_LOrder_Ojoin(c_uminus(A,tc_IntDef_Oint),c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2595,b,2509,a)].
% 20.38/20.42  2596 c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(2241,a,2226,b)].
% 20.38/20.42  Derived: c_OrderedGroup_Onprt(c_0,tc_IntDef_Oint) = c_0.  [resolve(2596,b,2509,a)].
% 20.38/20.45  2597 -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2242,a,2226,b)].
% 20.38/20.45  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_OrderedGroup_Onprt(A,tc_IntDef_Oint) = c_0.  [resolve(2597,c,2509,a)].
% 20.38/20.45  2598 -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2243,a,2226,b)].
% 20.38/20.45  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_OrderedGroup_Onprt(A,tc_IntDef_Oint) = A.  [resolve(2598,c,2509,a)].
% 20.38/20.45  2599 c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2244,a,2226,b)].
% 20.38/20.45  Derived: c_lessequals(c_OrderedGroup_Onprt(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(2599,b,2509,a)].
% 20.38/20.45  2600 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2245,a,2226,b)].
% 20.38/20.45  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_OrderedGroup_Onprt(A,tc_IntDef_Oint),c_OrderedGroup_Onprt(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2600,c,2509,a)].
% 20.38/20.45  2601 c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(A).  [resolve(2246,a,2226,b)].
% 20.38/20.45  Derived: c_OrderedGroup_Opprt(c_0,tc_IntDef_Oint) = c_0.  [resolve(2601,b,2509,a)].
% 20.38/20.45  2602 -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2247,a,2226,b)].
% 20.38/20.45  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_OrderedGroup_Opprt(A,tc_IntDef_Oint) = c_0.  [resolve(2602,c,2509,a)].
% 20.38/20.45  2603 -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2248,a,2226,b)].
% 20.38/20.45  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_OrderedGroup_Opprt(A,tc_IntDef_Oint) = A.  [resolve(2603,c,2509,a)].
% 20.38/20.45  2604 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2249,a,2226,b)].
% 20.38/20.45  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_OrderedGroup_Opprt(A,tc_IntDef_Oint),c_OrderedGroup_Opprt(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2604,c,2509,a)].
% 20.38/20.45  2605 -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2250,a,2226,b)].
% 20.38/20.45  Derived: -c_lessequals(c_0,c_plus(A,A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,A,tc_IntDef_Oint).  [resolve(2605,c,2509,a)].
% 20.38/20.45  2606 -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2251,a,2226,b)].
% 20.38/20.45  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_lessequals(c_0,c_plus(A,A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2606,c,2509,a)].
% 20.38/20.45  2607 c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_OrderedGroup_Olordered__ab__group__abs(B).  [resolve(2252,a,2226,b)].
% 20.38/20.45  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2607,b,2509,a)].
% 20.38/20.45  2608 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2414,a,2418,b)].
% 20.38/20.45  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(2608,c,2509,a)].
% 20.38/20.45  2609 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2429,a,2418,b)].
% 20.38/20.45  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(2609,c,2509,a)].
% 20.38/20.45  2610 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2430,a,2418,b)].
% 20.38/20.45  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatLeastAtMost(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2610,d,2509,a)].
% 20.38/20.45  2611 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2431,a,2418,b)].
% 20.38/20.49  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(2611,c,2509,a)].
% 20.38/20.49  2612 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2432,a,2418,b)].
% 20.38/20.49  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(2612,c,2509,a)].
% 20.38/20.49  2613 -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2433,a,2418,b)].
% 20.38/20.49  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatLeastLessThan(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2613,d,2509,a)].
% 20.38/20.49  2614 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2434,a,2418,b)].
% 20.38/20.49  Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(2614,c,2509,a)].
% 20.38/20.49  2615 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2435,a,2418,b)].
% 20.38/20.49  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2615,c,2509,a)].
% 20.38/20.49  2616 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2436,a,2418,b)].
% 20.38/20.49  Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(2616,c,2509,a)].
% 20.38/20.49  2617 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2437,a,2418,b)].
% 20.38/20.49  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2617,c,2509,a)].
% 20.38/20.49  2618 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2438,a,2418,b)].
% 20.38/20.49  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint).  [resolve(2618,c,2509,a)].
% 20.38/20.49  2619 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2439,a,2418,b)].
% 20.38/20.49  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(2619,c,2509,a)].
% 20.38/20.49  2620 -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2440,a,2418,b)].
% 20.38/20.49  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_lessequals(B,C,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2620,d,2509,a)].
% 20.38/20.49  2621 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2441,a,2418,b)].
% 20.38/20.49  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint).  [resolve(2621,c,2509,a)].
% 20.38/20.49  2622 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Olordered__ab__group__abs(D).  [resolve(2442,a,2418,b)].
% 20.38/20.49  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(2622,c,2509,a)].
% 20.38/20.49  2623 -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2443,a,2418,b)].
% 20.38/20.49  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_less(C,A,tc_IntDef_Oint) | c_in(A,c_SetInterval_OgreaterThanLessThan(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2623,d,2509,a)].
% 20.38/20.49  2624 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2444,a,2418,b)].
% 20.38/20.49  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint).  [resolve(2624,c,2509,a)].
% 20.59/20.67  2625 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2445,a,2418,b)].
% 20.59/20.67  Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2625,c,2509,a)].
% 20.59/20.67  2626 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2446,a,2418,b)].
% 20.59/20.67  Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint).  [resolve(2626,c,2509,a)].
% 20.59/20.67  2627 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C).  [resolve(2447,a,2418,b)].
% 20.59/20.67  Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2627,c,2509,a)].
% 20.59/20.67  2628 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_0) # label(axiom).  [assumption].
% 20.59/20.67  2629 class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_51) # label(axiom).  [assumption].
% 20.59/20.67  2630 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_1) # label(axiom).  [assumption].
% 20.59/20.67  2631 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_11) # label(axiom).  [assumption].
% 20.59/20.67  2632 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_13) # label(axiom).  [assumption].
% 20.59/20.67  2633 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Olordered__ab__group__meet(A) # label(clsrel_Ring__and__Field_Olordered__ring_29) # label(axiom).  [assumption].
% 20.59/20.67  2634 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Olordered__ab__group__meet(A) # label(clsrel_Ring__and__Field_Oordered__field_48) # label(axiom).  [assumption].
% 20.59/20.67  2635 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Olordered__ab__group__meet(A) # label(clsrel_Ring__and__Field_Oordered__idom_51) # label(axiom).  [assumption].
% 20.59/20.67  2636 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Olordered__ab__group__meet(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_34) # label(axiom).  [assumption].
% 20.59/20.67  2637 -class_OrderedGroup_Olordered__ab__group__meet(A) | c_lessequals(B,B,A).  [resolve(11,b,2,a)].
% 20.59/20.67  2638 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(33,a,11,b)].
% 20.59/20.67  2639 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(34,a,11,b)].
% 20.59/20.67  2640 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(35,a,11,b)].
% 20.59/20.67  2641 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(36,a,11,b)].
% 20.59/20.67  2642 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(37,a,11,b)].
% 20.59/20.67  2643 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(38,a,11,b)].
% 20.59/20.67  2644 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(39,a,11,b)].
% 20.59/20.67  2645 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(40,a,11,b)].
% 20.59/20.67  2646 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(41,a,11,b)].
% 20.59/20.67  2647 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(42,a,11,b)].
% 20.78/20.85  2648 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Oab__semigroup__add(A).  [resolve(153,b,147,a)].
% 20.78/20.85  2649 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Osemigroup__add(A).  [resolve(153,b,148,a)].
% 20.78/20.85  2650 c_plus(A,c_0,B) = A | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(183,a,153,b)].
% 20.78/20.85  2651 c_plus(c_0,A,B) = A | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(184,a,153,b)].
% 20.78/20.85  2652 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(307,a,280,b)].
% 20.78/20.85  2653 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(308,a,280,b)].
% 20.78/20.85  2654 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(346,b,319,b)].
% 20.78/20.85  2655 c_LOrder_Omeet(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1087,a,1076,b)].
% 20.78/20.85  2656 c_LOrder_Ojoin(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1118,a,1107,b)].
% 20.78/20.85  2657 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1161,b,1137,b)].
% 20.78/20.85  2658 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1163,b,1137,b)].
% 20.78/20.85  2659 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1164,c,1137,b)].
% 20.78/20.85  2660 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1165,b,1137,b)].
% 20.78/20.85  2661 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1166,c,1137,b)].
% 20.78/20.85  2662 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1167,c,1137,b)].
% 20.78/20.85  2663 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1168,c,1137,b)].
% 20.78/20.85  2664 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1169,c,1137,b)].
% 20.78/20.85  2665 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1170,c,1137,b)].
% 20.78/20.85  2666 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1171,c,1137,b)].
% 20.78/20.85  2667 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1172,b,1137,b)].
% 20.78/20.85  2668 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1340,c,1313,b)].
% 20.78/20.85  2669 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1341,c,1313,b)].
% 20.78/20.85  2670 class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(1342,a,1313,b)].
% 20.78/20.85  2671 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1362,a,1349,b)].
% 20.78/20.85  2672 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1363,a,1349,b)].
% 20.78/20.85  2673 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1364,a,1349,b)].
% 20.78/20.85  2674 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1365,a,1349,b)].
% 20.78/20.85  2675 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1366,a,1349,b)].
% 20.78/20.85  2676 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1367,a,1349,b)].
% 21.00/21.02  2677 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1368,a,1349,b)].
% 21.00/21.02  2678 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1369,a,1349,b)].
% 21.00/21.02  2679 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(1384,b,1349,b)].
% 21.00/21.02  2680 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1386,b,1349,b)].
% 21.00/21.02  2681 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1388,b,1349,b)].
% 21.00/21.02  2682 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1389,c,1349,b)].
% 21.00/21.02  2683 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1390,b,1349,b)].
% 21.00/21.02  2684 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1391,c,1349,b)].
% 21.00/21.02  2685 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1392,c,1349,b)].
% 21.00/21.02  2686 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1393,c,1349,b)].
% 21.00/21.02  2687 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1394,c,1349,b)].
% 21.00/21.02  2688 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1395,c,1349,b)].
% 21.00/21.02  2689 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1396,c,1349,b)].
% 21.00/21.02  2690 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(1397,b,1349,b)].
% 21.00/21.02  2691 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1398,c,1349,b)].
% 21.00/21.02  2692 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(1399,c,1349,b)].
% 21.00/21.02  2693 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(2228,b,2220,a)].
% 21.00/21.02  Derived: class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint).  [resolve(2693,a,2629,a)].
% 21.00/21.02  2694 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Oab__group__add(A).  [resolve(2228,b,2222,a)].
% 21.00/21.02  Derived: class_OrderedGroup_Oab__group__add(tc_IntDef_Oint).  [resolve(2694,a,2629,a)].
% 21.00/21.02  2695 -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2233,a,2228,b)].
% 21.00/21.02  2696 -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2234,a,2228,b)].
% 21.00/21.02  2697 c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2235,a,2228,b)].
% 21.00/21.02  2698 c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(2236,a,2228,b)].
% 21.00/21.02  2699 c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2237,a,2228,b)].
% 21.00/21.02  2700 c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(2238,a,2228,b)].
% 21.00/21.02  2701 c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2239,a,2228,b)].
% 21.00/21.02  2702 c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2240,a,2228,b)].
% 21.00/21.02  2703 c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(2241,a,2228,b)].
% 21.00/21.08  2704 -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2242,a,2228,b)].
% 21.00/21.08  2705 -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2243,a,2228,b)].
% 21.00/21.08  2706 c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2244,a,2228,b)].
% 21.00/21.08  2707 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2245,a,2228,b)].
% 21.00/21.08  2708 c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(A).  [resolve(2246,a,2228,b)].
% 21.00/21.08  2709 -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2247,a,2228,b)].
% 21.00/21.08  2710 -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2248,a,2228,b)].
% 21.00/21.08  2711 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2249,a,2228,b)].
% 21.00/21.08  2712 -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2250,a,2228,b)].
% 21.00/21.08  2713 -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2251,a,2228,b)].
% 21.00/21.08  2714 c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_OrderedGroup_Olordered__ab__group__meet(B).  [resolve(2252,a,2228,b)].
% 21.00/21.08  2715 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2414,a,2420,b)].
% 21.00/21.08  2716 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2429,a,2420,b)].
% 21.00/21.08  2717 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2430,a,2420,b)].
% 21.00/21.08  2718 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2431,a,2420,b)].
% 21.00/21.08  2719 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2432,a,2420,b)].
% 21.00/21.08  2720 -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2433,a,2420,b)].
% 21.00/21.08  2721 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2434,a,2420,b)].
% 21.00/21.08  2722 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2435,a,2420,b)].
% 21.00/21.08  2723 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2436,a,2420,b)].
% 21.00/21.08  2724 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2437,a,2420,b)].
% 21.00/21.08  2725 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2438,a,2420,b)].
% 21.00/21.08  2726 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2439,a,2420,b)].
% 21.00/21.08  2727 -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2440,a,2420,b)].
% 21.00/21.08  2728 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2441,a,2420,b)].
% 21.00/21.08  2729 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Olordered__ab__group__meet(D).  [resolve(2442,a,2420,b)].
% 21.00/21.08  2730 -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2443,a,2420,b)].
% 21.20/21.28  2731 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2444,a,2420,b)].
% 21.20/21.28  2732 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2445,a,2420,b)].
% 21.20/21.28  2733 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2446,a,2420,b)].
% 21.20/21.28  2734 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C).  [resolve(2447,a,2420,b)].
% 21.20/21.28  2735 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_0) # label(axiom).  [assumption].
% 21.20/21.28  2736 class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_52) # label(axiom).  [assumption].
% 21.20/21.28  2737 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_1) # label(axiom).  [assumption].
% 21.20/21.28  2738 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_11) # label(axiom).  [assumption].
% 21.20/21.28  2739 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_13) # label(axiom).  [assumption].
% 21.20/21.28  2740 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Olordered__ab__group__join(A) # label(clsrel_Ring__and__Field_Olordered__ring_30) # label(axiom).  [assumption].
% 21.20/21.28  2741 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Olordered__ab__group__join(A) # label(clsrel_Ring__and__Field_Oordered__field_49) # label(axiom).  [assumption].
% 21.20/21.28  2742 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Olordered__ab__group__join(A) # label(clsrel_Ring__and__Field_Oordered__idom_52) # label(axiom).  [assumption].
% 21.20/21.28  2743 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Olordered__ab__group__join(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_35) # label(axiom).  [assumption].
% 21.20/21.28  2744 -class_OrderedGroup_Olordered__ab__group__join(A) | c_lessequals(B,B,A).  [resolve(10,b,2,a)].
% 21.20/21.28  2745 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(33,a,10,b)].
% 21.20/21.28  2746 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(34,a,10,b)].
% 21.20/21.28  2747 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(35,a,10,b)].
% 21.20/21.28  2748 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(36,a,10,b)].
% 21.20/21.28  2749 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(37,a,10,b)].
% 21.20/21.28  2750 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(38,a,10,b)].
% 21.20/21.28  2751 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(39,a,10,b)].
% 21.20/21.28  2752 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(40,a,10,b)].
% 21.20/21.28  2753 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(41,a,10,b)].
% 21.20/21.28  2754 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(42,a,10,b)].
% 21.20/21.28  2755 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Oab__semigroup__add(A).  [resolve(152,b,147,a)].
% 21.39/21.44  2756 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Osemigroup__add(A).  [resolve(152,b,148,a)].
% 21.39/21.44  2757 c_plus(A,c_0,B) = A | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(183,a,152,b)].
% 21.39/21.44  2758 c_plus(c_0,A,B) = A | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(184,a,152,b)].
% 21.39/21.44  2759 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(307,a,279,b)].
% 21.39/21.44  2760 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(308,a,279,b)].
% 21.39/21.44  2761 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(346,b,318,b)].
% 21.39/21.44  2762 c_LOrder_Omeet(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1087,a,1075,b)].
% 21.39/21.44  2763 c_LOrder_Ojoin(A,A,B) = A | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1118,a,1106,b)].
% 21.39/21.44  2764 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1161,b,1136,b)].
% 21.39/21.44  2765 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1163,b,1136,b)].
% 21.39/21.44  2766 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1164,c,1136,b)].
% 21.39/21.44  2767 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1165,b,1136,b)].
% 21.39/21.44  2768 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1166,c,1136,b)].
% 21.39/21.44  2769 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1167,c,1136,b)].
% 21.39/21.44  2770 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1168,c,1136,b)].
% 21.39/21.44  2771 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1169,c,1136,b)].
% 21.39/21.44  2772 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1170,c,1136,b)].
% 21.39/21.44  2773 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1171,c,1136,b)].
% 21.39/21.44  2774 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1172,b,1136,b)].
% 21.39/21.44  2775 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1340,c,1312,b)].
% 21.39/21.44  2776 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1341,c,1312,b)].
% 21.39/21.44  2777 class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(1342,a,1312,b)].
% 21.39/21.44  2778 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1362,a,1348,b)].
% 21.39/21.44  2779 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1363,a,1348,b)].
% 21.39/21.44  2780 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1364,a,1348,b)].
% 21.39/21.44  2781 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1365,a,1348,b)].
% 21.39/21.44  2782 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1366,a,1348,b)].
% 21.39/21.44  2783 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1367,a,1348,b)].
% 21.39/21.44  2784 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1368,a,1348,b)].
% 21.39/21.44  2785 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1369,a,1348,b)].
% 21.53/21.60  2786 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(1384,b,1348,b)].
% 21.53/21.60  2787 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1386,b,1348,b)].
% 21.53/21.60  2788 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1388,b,1348,b)].
% 21.53/21.60  2789 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1389,c,1348,b)].
% 21.53/21.60  2790 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1390,b,1348,b)].
% 21.53/21.60  2791 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1391,c,1348,b)].
% 21.53/21.60  2792 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1392,c,1348,b)].
% 21.53/21.61  2793 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1393,c,1348,b)].
% 21.53/21.61  2794 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1394,c,1348,b)].
% 21.53/21.61  2795 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1395,c,1348,b)].
% 21.53/21.61  2796 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1396,c,1348,b)].
% 21.53/21.61  2797 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(1397,b,1348,b)].
% 21.53/21.61  2798 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1398,c,1348,b)].
% 21.53/21.61  2799 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(1399,c,1348,b)].
% 21.53/21.61  2800 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(2227,b,2220,a)].
% 21.53/21.61  2801 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Oab__group__add(A).  [resolve(2227,b,2222,a)].
% 21.53/21.61  2802 -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2233,a,2227,b)].
% 21.53/21.61  2803 -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2234,a,2227,b)].
% 21.53/21.61  2804 c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2235,a,2227,b)].
% 21.53/21.61  2805 c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(2236,a,2227,b)].
% 21.53/21.61  2806 c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2237,a,2227,b)].
% 21.53/21.61  2807 c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(2238,a,2227,b)].
% 21.53/21.61  2808 c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2239,a,2227,b)].
% 21.53/21.61  2809 c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2240,a,2227,b)].
% 21.53/21.61  2810 c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(2241,a,2227,b)].
% 21.53/21.61  2811 -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2242,a,2227,b)].
% 21.53/21.61  2812 -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2243,a,2227,b)].
% 21.53/21.61  2813 c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2244,a,2227,b)].
% 21.61/21.66  2814 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2245,a,2227,b)].
% 21.61/21.66  2815 c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_OrderedGroup_Olordered__ab__group__join(A).  [resolve(2246,a,2227,b)].
% 21.61/21.66  2816 -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2247,a,2227,b)].
% 21.61/21.66  2817 -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2248,a,2227,b)].
% 21.61/21.66  2818 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2249,a,2227,b)].
% 21.61/21.66  2819 -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2250,a,2227,b)].
% 21.61/21.66  2820 -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2251,a,2227,b)].
% 21.61/21.66  2821 c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_OrderedGroup_Olordered__ab__group__join(B).  [resolve(2252,a,2227,b)].
% 21.61/21.66  2822 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2414,a,2419,b)].
% 21.61/21.66  2823 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2429,a,2419,b)].
% 21.61/21.66  2824 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2430,a,2419,b)].
% 21.61/21.66  2825 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2431,a,2419,b)].
% 21.61/21.66  2826 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2432,a,2419,b)].
% 21.61/21.66  2827 -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2433,a,2419,b)].
% 21.61/21.66  2828 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2434,a,2419,b)].
% 21.61/21.66  2829 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2435,a,2419,b)].
% 21.61/21.66  2830 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2436,a,2419,b)].
% 21.61/21.66  2831 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2437,a,2419,b)].
% 21.61/21.66  2832 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2438,a,2419,b)].
% 21.61/21.66  2833 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2439,a,2419,b)].
% 21.61/21.66  2834 -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2440,a,2419,b)].
% 21.61/21.66  2835 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2441,a,2419,b)].
% 21.61/21.66  2836 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_OrderedGroup_Olordered__ab__group__join(D).  [resolve(2442,a,2419,b)].
% 21.61/21.66  2837 -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2443,a,2419,b)].
% 21.61/21.66  2838 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2444,a,2419,b)].
% 21.61/21.66  2839 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2445,a,2419,b)].
% 21.61/21.66  2840 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2446,a,2419,b)].
% 21.83/21.84  2841 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C).  [resolve(2447,a,2419,b)].
% 21.83/21.84  2842 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Olordered__ring_15) # label(axiom).  [assumption].
% 21.83/21.84  2843 class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_53) # label(axiom).  [assumption].
% 21.83/21.84  2844 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_2) # label(axiom).  [assumption].
% 21.83/21.84  2845 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_20) # label(axiom).  [assumption].
% 21.83/21.84  2846 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_22) # label(axiom).  [assumption].
% 21.83/21.84  2847 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_3) # label(axiom).  [assumption].
% 21.83/21.84  2848 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Olordered__ring(A) # label(clsrel_Ring__and__Field_Oordered__field_43) # label(axiom).  [assumption].
% 21.83/21.84  2849 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Olordered__ring(A) # label(clsrel_Ring__and__Field_Oordered__idom_48) # label(axiom).  [assumption].
% 21.83/21.84  2850 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Olordered__ring(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_31) # label(axiom).  [assumption].
% 21.83/21.84  2851 -class_Ring__and__Field_Olordered__ring(A) | c_lessequals(B,B,A).  [resolve(19,b,2,a)].
% 21.83/21.84  2852 -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(33,a,19,b)].
% 21.83/21.84  2853 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(34,a,19,b)].
% 21.83/21.84  2854 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(35,a,19,b)].
% 21.83/21.84  2855 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(36,a,19,b)].
% 21.83/21.84  2856 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(37,a,19,b)].
% 21.83/21.84  2857 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(38,a,19,b)].
% 21.83/21.84  2858 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(39,a,19,b)].
% 21.83/21.84  2859 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(40,a,19,b)].
% 21.83/21.84  2860 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(41,a,19,b)].
% 21.83/21.84  2861 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(42,a,19,b)].
% 21.83/21.84  2862 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(71,a,85,b)].
% 21.83/21.84  2863 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(100,a,85,b)].
% 21.83/21.84  2864 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(102,a,85,b)].
% 21.83/21.84  2865 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(108,b,85,b)].
% 21.83/21.84  2866 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(109,b,85,b)].
% 21.83/21.87  2867 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(183,a,164,b)].
% 21.83/21.87  2868 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(184,a,164,b)].
% 21.83/21.87  2869 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(221,c,198,b)].
% 21.83/21.87  2870 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(222,c,198,b)].
% 21.83/21.87  2871 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(223,a,198,b)].
% 21.83/21.87  2872 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(224,a,198,b)].
% 21.83/21.87  2873 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(226,b,198,b)].
% 21.83/21.87  2874 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(227,b,198,b)].
% 21.83/21.87  2875 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(307,a,292,b)].
% 21.83/21.87  2876 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(308,a,292,b)].
% 21.83/21.87  2877 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(346,b,331,b)].
% 21.83/21.87  2878 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(380,a,361,b)].
% 21.83/21.87  2879 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(381,a,361,b)].
% 21.83/21.87  2880 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(386,b,361,b)].
% 21.83/21.87  2881 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(389,c,361,b)].
% 21.83/21.87  2882 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(390,c,361,b)].
% 21.83/21.87  2883 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(391,b,361,b)].
% 21.83/21.87  2884 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(410,a,400,b)].
% 21.83/21.87  2885 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(413,b,400,b)].
% 21.83/21.87  2886 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(414,b,400,b)].
% 21.83/21.87  2887 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(415,a,400,b)].
% 21.83/21.87  2888 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(416,a,400,b)].
% 21.83/21.87  2889 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(417,a,400,b)].
% 21.83/21.87  2890 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(421,b,400,b)].
% 21.83/21.87  2891 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(428,c,400,b)].
% 21.83/21.87  2892 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(429,c,400,b)].
% 21.83/21.87  2893 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(433,b,400,b)].
% 21.83/21.87  2894 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(434,b,400,b)].
% 21.83/21.87  2895 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(439,b,400,b)].
% 21.97/22.01  2896 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(440,b,400,b)].
% 21.97/22.01  2897 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(441,b,400,b)].
% 21.97/22.01  2898 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(442,c,400,b)].
% 21.97/22.01  2899 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(443,c,400,b)].
% 21.97/22.01  2900 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(444,b,400,b)].
% 21.97/22.01  2901 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1087,a,1079,b)].
% 21.97/22.01  2902 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1118,a,1110,b)].
% 21.97/22.01  2903 c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1161,b,1140,b)].
% 21.97/22.01  2904 -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1163,b,1140,b)].
% 21.97/22.01  2905 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1164,c,1140,b)].
% 21.97/22.01  2906 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1165,b,1140,b)].
% 21.97/22.01  2907 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1166,c,1140,b)].
% 21.97/22.01  2908 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1167,c,1140,b)].
% 21.97/22.01  2909 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1168,c,1140,b)].
% 21.97/22.01  2910 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1169,c,1140,b)].
% 21.97/22.01  2911 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1170,c,1140,b)].
% 21.97/22.01  2912 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1171,c,1140,b)].
% 21.97/22.01  2913 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1172,b,1140,b)].
% 21.97/22.01  2914 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1362,a,1354,b)].
% 21.97/22.01  2915 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1363,a,1354,b)].
% 21.97/22.01  2916 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1364,a,1354,b)].
% 21.97/22.01  2917 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1365,a,1354,b)].
% 21.97/22.01  2918 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1366,a,1354,b)].
% 21.97/22.01  2919 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1367,a,1354,b)].
% 21.97/22.01  2920 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1368,a,1354,b)].
% 21.97/22.01  2921 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1369,a,1354,b)].
% 21.97/22.01  2922 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1385,b,1354,b)].
% 21.97/22.01  2923 c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1386,b,1354,b)].
% 21.97/22.01  2924 -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1388,b,1354,b)].
% 21.97/22.01  2925 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1389,c,1354,b)].
% 22.12/22.16  2926 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1390,b,1354,b)].
% 22.12/22.16  2927 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1391,c,1354,b)].
% 22.12/22.16  2928 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1392,c,1354,b)].
% 22.12/22.16  2929 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1393,c,1354,b)].
% 22.12/22.16  2930 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1394,c,1354,b)].
% 22.12/22.16  2931 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1395,c,1354,b)].
% 22.12/22.16  2932 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1396,c,1354,b)].
% 22.12/22.16  2933 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1397,b,1354,b)].
% 22.12/22.16  2934 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1398,c,1354,b)].
% 22.12/22.16  2935 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1399,c,1354,b)].
% 22.12/22.16  2936 c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1631,b,1585,b)].
% 22.12/22.16  2937 -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1632,b,1585,b)].
% 22.12/22.16  2938 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1633,c,1585,b)].
% 22.12/22.16  2939 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1634,b,1585,b)].
% 22.12/22.16  2940 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1635,c,1585,b)].
% 22.12/22.16  2941 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1636,c,1585,b)].
% 22.12/22.16  2942 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1637,c,1585,b)].
% 22.12/22.16  2943 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1638,c,1585,b)].
% 22.12/22.16  2944 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1639,c,1585,b)].
% 22.12/22.16  2945 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(1640,c,1585,b)].
% 22.12/22.16  2946 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1641,b,1585,b)].
% 22.12/22.16  2947 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1642,b,1585,b)].
% 22.12/22.16  2948 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1643,c,1585,b)].
% 22.12/22.16  2949 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(1644,c,1585,b)].
% 22.12/22.16  2950 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1645,b,1585,b)].
% 22.12/22.16  2951 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(1646,b,1585,b)].
% 22.12/22.16  2952 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Opordered__ab__group__add(A).  [resolve(2229,b,2220,a)].
% 22.12/22.18  2953 -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2233,a,2229,b)].
% 22.12/22.18  2954 -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2234,a,2229,b)].
% 22.12/22.18  2955 c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2235,a,2229,b)].
% 22.12/22.18  2956 c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2236,a,2229,b)].
% 22.12/22.18  2957 c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2237,a,2229,b)].
% 22.12/22.18  2958 c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2238,a,2229,b)].
% 22.12/22.18  2959 c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2239,a,2229,b)].
% 22.12/22.18  2960 c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2240,a,2229,b)].
% 22.12/22.18  2961 c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2241,a,2229,b)].
% 22.12/22.18  2962 -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2242,a,2229,b)].
% 22.12/22.18  2963 -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2243,a,2229,b)].
% 22.12/22.18  2964 c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2244,a,2229,b)].
% 22.12/22.18  2965 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2245,a,2229,b)].
% 22.12/22.18  2966 c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2246,a,2229,b)].
% 22.12/22.18  2967 -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2247,a,2229,b)].
% 22.12/22.18  2968 -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2248,a,2229,b)].
% 22.12/22.18  2969 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2249,a,2229,b)].
% 22.12/22.18  2970 -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2250,a,2229,b)].
% 22.12/22.18  2971 -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2251,a,2229,b)].
% 22.12/22.18  2972 c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2252,a,2229,b)].
% 22.12/22.18  2973 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2297,b,2229,b)].
% 22.12/22.18  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(2973,b,2843,a)].
% 22.12/22.18  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(2973,b,2848,b)].
% 22.12/22.18  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2973,b,2849,b)].
% 22.12/22.18  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2973,b,2850,b)].
% 22.12/22.18  2974 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2356,b,2314,b)].
% 22.12/22.18  2975 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2357,c,2314,b)].
% 22.12/22.18  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_minus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2975,c,2843,a)].
% 22.12/22.18  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(2975,c,2848,b)].
% 22.12/22.18  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2975,c,2849,b)].
% 22.12/22.18  2976 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2358,c,2314,b)].
% 22.12/22.18  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_minus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2976,c,2843,a)].
% 22.12/22.18  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(2976,c,2848,b)].
% 22.12/22.18  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2976,c,2849,b)].
% 22.12/22.18  2977 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2359,b,2314,b)].
% 22.12/22.18  Derived: c_times(c_uminus(A,tc_IntDef_Oint),c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint) = c_times(A,B,tc_IntDef_Oint).  [resolve(2977,b,2843,a)].
% 22.12/22.18  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2977,b,2848,b)].
% 22.12/22.18  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2977,b,2849,b)].
% 22.12/22.18  2978 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2360,b,2314,b)].
% 22.12/22.18  Derived: c_times(c_uminus(A,tc_IntDef_Oint),B,tc_IntDef_Oint) = c_uminus(c_times(A,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2978,b,2843,a)].
% 22.12/22.18  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2978,b,2848,b)].
% 22.12/22.18  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2978,b,2849,b)].
% 22.12/22.18  2979 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2361,b,2314,b)].
% 22.12/22.18  Derived: c_times(A,c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_times(A,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2979,b,2843,a)].
% 22.12/22.18  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2979,b,2848,b)].
% 22.12/22.18  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2979,b,2849,b)].
% 22.12/22.18  2980 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2367,b,2314,b)].
% 22.12/22.18  Derived: c_times(c_0,A,tc_IntDef_Oint) = c_0.  [resolve(2980,b,2843,a)].
% 22.12/22.18  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(2980,b,2848,b)].
% 22.12/22.18  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2980,b,2849,b)].
% 22.12/22.18  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2980,b,2850,b)].
% 22.12/22.18  2981 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2368,b,2314,b)].
% 22.12/22.18  Derived: c_times(A,c_0,tc_IntDef_Oint) = c_0.  [resolve(2981,b,2843,a)].
% 22.12/22.18  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(2981,b,2848,b)].
% 22.12/22.18  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2981,b,2849,b)].
% 22.12/22.18  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2981,b,2850,b)].
% 22.12/22.18  2982 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2374,c,2314,b)].
% 22.12/22.18  Derived: -c_lessequals(c_plus(A,B,tc_IntDef_Oint),c_plus(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(2982,c,2843,a)].
% 22.12/22.18  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2982,c,2848,b)].
% 22.12/22.18  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2982,c,2849,b)].
% 22.12/22.18  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2982,c,2850,b)].
% 22.12/22.18  2983 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2375,c,2314,b)].
% 22.12/22.18  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_plus(C,A,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2983,c,2843,a)].
% 22.12/22.18  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2983,c,2848,b)].
% 22.12/22.18  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2983,c,2849,b)].
% 22.12/22.18  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2983,c,2850,b)].
% 22.12/22.18  2984 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2376,c,2314,b)].
% 22.12/22.18  Derived: -c_lessequals(c_plus(A,B,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(2984,c,2843,a)].
% 22.12/22.18  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2984,c,2848,b)].
% 22.12/22.18  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2984,c,2849,b)].
% 22.12/22.18  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2984,c,2850,b)].
% 22.12/22.18  2985 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2377,c,2314,b)].
% 22.12/22.18  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_plus(A,C,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2985,c,2843,a)].
% 22.12/22.18  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2985,c,2848,b)].
% 22.12/22.18  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2985,c,2849,b)].
% 22.12/22.18  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2985,c,2850,b)].
% 22.12/22.18  2986 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2378,c,2314,b)].
% 22.12/22.18  Derived: -c_less(c_plus(A,B,tc_IntDef_Oint),c_plus(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,C,tc_IntDef_Oint).  [resolve(2986,c,2843,a)].
% 22.12/22.18  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2986,c,2848,b)].
% 22.12/22.18  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2986,c,2849,b)].
% 22.12/22.18  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2986,c,2850,b)].
% 22.12/22.18  2987 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2379,c,2314,b)].
% 22.12/22.18  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_plus(C,A,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2987,c,2843,a)].
% 22.12/22.19  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2987,c,2848,b)].
% 22.12/22.19  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2987,c,2849,b)].
% 22.12/22.19  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2987,c,2850,b)].
% 22.12/22.19  2988 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2380,c,2314,b)].
% 22.12/22.19  Derived: -c_less(c_plus(A,B,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(2988,c,2843,a)].
% 22.12/22.19  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2988,c,2848,b)].
% 22.12/22.19  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2988,c,2849,b)].
% 22.12/22.19  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2988,c,2850,b)].
% 22.12/22.19  2989 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2381,c,2314,b)].
% 22.12/22.19  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_plus(A,C,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(2989,c,2843,a)].
% 22.12/22.19  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2989,c,2848,b)].
% 22.12/22.19  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2989,c,2849,b)].
% 22.12/22.19  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2989,c,2850,b)].
% 22.12/22.19  2990 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2382,b,2314,b)].
% 22.12/22.19  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(2990,b,2843,a)].
% 22.12/22.19  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(2990,b,2848,b)].
% 22.12/22.19  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2990,b,2849,b)].
% 22.12/22.19  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2990,b,2850,b)].
% 22.12/22.19  2991 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2395,c,2314,b)].
% 22.12/22.19  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(A,C,tc_IntDef_Oint) | B = C.  [resolve(2991,c,2843,a)].
% 22.12/22.19  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(2991,c,2848,b)].
% 22.12/22.19  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2991,c,2849,b)].
% 22.12/22.19  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2991,c,2850,b)].
% 22.12/22.19  2992 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2396,c,2314,b)].
% 22.12/22.19  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(C,B,tc_IntDef_Oint) | A = C.  [resolve(2992,c,2843,a)].
% 22.12/22.19  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(2992,c,2848,b)].
% 22.12/22.19  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2992,c,2849,b)].
% 22.12/22.19  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2992,c,2850,b)].
% 22.12/22.19  2993 c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2397,b,2314,b)].
% 22.12/22.19  Derived: c_lessequals(A,A,tc_IntDef_Oint).  [resolve(2993,b,2843,a)].
% 22.12/22.19  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2993,b,2848,b)].
% 22.12/22.19  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2993,b,2849,b)].
% 22.12/22.19  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2993,b,2850,b)].
% 22.12/22.19  2994 -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2398,b,2314,b)].
% 22.12/22.19  Derived: -c_less(A,A,tc_IntDef_Oint).  [resolve(2994,b,2843,a)].
% 22.12/22.19  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2994,b,2848,b)].
% 22.12/22.19  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2994,b,2849,b)].
% 22.12/22.19  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2994,b,2850,b)].
% 22.12/22.19  2995 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2399,c,2314,b)].
% 22.12/22.19  Derived: -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(2995,c,2843,a)].
% 22.12/22.19  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(2995,c,2848,b)].
% 22.12/22.19  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2995,c,2849,b)].
% 22.12/22.19  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2995,c,2850,b)].
% 22.12/22.19  2996 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2400,b,2314,b)].
% 22.12/22.19  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_IntDef_Oint) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(2996,b,2843,a)].
% 22.12/22.19  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2996,b,2848,b)].
% 22.12/22.19  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2996,b,2849,b)].
% 22.12/22.19  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2996,b,2850,b)].
% 22.12/22.19  2997 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2401,c,2314,b)].
% 22.12/22.19  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(2997,c,2843,a)].
% 22.12/22.19  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(2997,c,2848,b)].
% 22.12/22.19  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2997,c,2849,b)].
% 22.12/22.19  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2997,c,2850,b)].
% 22.12/22.19  2998 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2402,c,2314,b)].
% 22.12/22.19  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(2998,c,2843,a)].
% 22.12/22.19  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(2998,c,2848,b)].
% 22.12/22.19  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2998,c,2849,b)].
% 22.12/22.19  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2998,c,2850,b)].
% 22.12/22.19  2999 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2403,c,2314,b)].
% 22.12/22.19  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(2999,c,2843,a)].
% 22.12/22.19  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(2999,c,2848,b)].
% 22.12/22.19  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2999,c,2849,b)].
% 22.12/22.19  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2999,c,2850,b)].
% 22.12/22.19  3000 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2404,c,2314,b)].
% 22.12/22.19  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(3000,c,2843,a)].
% 22.12/22.19  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3000,c,2848,b)].
% 22.12/22.19  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3000,c,2849,b)].
% 22.12/22.19  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(3000,c,2850,b)].
% 22.12/22.19  3001 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2405,c,2314,b)].
% 22.12/22.19  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(3001,c,2843,a)].
% 22.12/22.19  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3001,c,2848,b)].
% 22.12/22.19  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3001,c,2849,b)].
% 22.12/22.19  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(3001,c,2850,b)].
% 22.12/22.19  3002 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2406,c,2314,b)].
% 22.12/22.19  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OgreaterThanAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(3002,c,2843,a)].
% 22.12/22.19  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(3002,c,2848,b)].
% 22.12/22.19  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3002,c,2849,b)].
% 22.12/22.19  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(3002,c,2850,b)].
% 22.12/22.19  3003 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2407,b,2314,b)].
% 22.12/22.19  Derived: c_minus(c_insert(A,c_emptyset,tc_IntDef_Oint),c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(3003,b,2843,a)].
% 22.12/22.19  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3003,b,2848,b)].
% 22.12/22.19  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3003,b,2849,b)].
% 22.12/22.19  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(3003,b,2850,b)].
% 22.12/22.19  3004 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2408,b,2314,b)].
% 22.12/22.19  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(3004,b,2843,a)].
% 22.12/22.19  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3004,b,2848,b)].
% 22.12/22.19  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3004,b,2849,b)].
% 22.12/22.19  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(3004,b,2850,b)].
% 22.12/22.19  3005 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2409,c,2314,b)].
% 22.12/22.19  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_plus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3005,c,2843,a)].
% 22.12/22.19  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3005,c,2848,b)].
% 22.12/22.19  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3005,c,2849,b)].
% 22.12/22.19  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(3005,c,2850,b)].
% 22.12/22.19  3006 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2410,c,2314,b)].
% 22.12/22.19  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3006,c,2843,a)].
% 22.12/22.19  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3006,c,2848,b)].
% 22.12/22.19  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3006,c,2849,b)].
% 22.12/22.19  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(3006,c,2850,b)].
% 22.12/22.19  3007 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2411,b,2314,b)].
% 22.12/22.19  Derived: c_plus(A,c_0,tc_IntDef_Oint) = A.  [resolve(3007,b,2843,a)].
% 22.12/22.19  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3007,b,2848,b)].
% 22.12/22.19  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3007,b,2849,b)].
% 22.12/22.19  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(3007,b,2850,b)].
% 22.12/22.19  3008 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2412,b,2314,b)].
% 22.12/22.19  Derived: c_plus(c_0,A,tc_IntDef_Oint) = A.  [resolve(3008,b,2843,a)].
% 22.12/22.19  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3008,b,2848,b)].
% 22.12/22.19  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3008,b,2849,b)].
% 22.12/22.19  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(3008,b,2850,b)].
% 22.12/22.19  3009 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2414,a,2422,b)].
% 22.19/22.24  3010 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2429,a,2422,b)].
% 22.19/22.24  3011 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2430,a,2422,b)].
% 22.19/22.24  3012 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2431,a,2422,b)].
% 22.19/22.24  3013 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2432,a,2422,b)].
% 22.19/22.24  3014 -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2433,a,2422,b)].
% 22.19/22.24  3015 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2434,a,2422,b)].
% 22.19/22.24  3016 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2435,a,2422,b)].
% 22.19/22.24  3017 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2436,a,2422,b)].
% 22.19/22.24  3018 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2437,a,2422,b)].
% 22.19/22.24  3019 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2438,a,2422,b)].
% 22.19/22.24  3020 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2439,a,2422,b)].
% 22.19/22.24  3021 -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2440,a,2422,b)].
% 22.19/22.24  3022 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2441,a,2422,b)].
% 22.19/22.24  3023 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Olordered__ring(D).  [resolve(2442,a,2422,b)].
% 22.19/22.24  3024 -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2443,a,2422,b)].
% 22.19/22.24  3025 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2444,a,2422,b)].
% 22.19/22.24  3026 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2445,a,2422,b)].
% 22.19/22.24  3027 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2446,a,2422,b)].
% 22.19/22.24  3028 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Olordered__ring(C).  [resolve(2447,a,2422,b)].
% 22.19/22.24  3029 c_0 != c_HOL_Oabs(A,B) | A = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2517,a,2513,b)].
% 22.19/22.24  Derived: c_0 != c_HOL_Oabs(A,tc_IntDef_Oint) | A = c_0.  [resolve(3029,c,2843,a)].
% 22.19/22.24  3030 c_0 = c_HOL_Oabs(c_0,A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2518,a,2513,b)].
% 22.19/22.24  Derived: c_0 = c_HOL_Oabs(c_0,tc_IntDef_Oint).  [resolve(3030,b,2843,a)].
% 22.19/22.24  3031 c_HOL_Oabs(c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B),B) = c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2519,a,2513,b)].
% 22.19/22.24  Derived: c_HOL_Oabs(c_plus(c_HOL_Oabs(A,tc_IntDef_Oint),c_HOL_Oabs(B,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_HOL_Oabs(A,tc_IntDef_Oint),c_HOL_Oabs(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3031,b,2843,a)].
% 22.19/22.24  3032 c_HOL_Oabs(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2520,a,2513,b)].
% 22.19/22.24  Derived: c_HOL_Oabs(A,tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(3032,c,2843,a)].
% 22.19/22.24  3033 c_HOL_Oabs(c_0,A) = c_0 | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2521,a,2513,b)].
% 22.19/22.24  Derived: c_HOL_Oabs(c_0,tc_IntDef_Oint) = c_0.  [resolve(3033,b,2843,a)].
% 22.19/22.24  3034 c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2522,a,2513,b)].
% 22.88/22.91  Derived: c_lessequals(c_0,c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3034,b,2843,a)].
% 22.88/22.91  3035 c_HOL_Oabs(c_HOL_Oabs(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2523,a,2513,b)].
% 22.88/22.91  Derived: c_HOL_Oabs(c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint) = c_HOL_Oabs(A,tc_IntDef_Oint).  [resolve(3035,b,2843,a)].
% 22.88/22.91  3036 -c_lessequals(c_HOL_Oabs(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2524,a,2513,b)].
% 22.88/22.91  Derived: -c_lessequals(c_HOL_Oabs(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | A = c_0.  [resolve(3036,c,2843,a)].
% 22.88/22.91  3037 c_lessequals(c_HOL_Oabs(c_0,A),c_0,A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2525,a,2513,b)].
% 22.88/22.91  Derived: c_lessequals(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3037,b,2843,a)].
% 22.88/22.91  3038 c_HOL_Oabs(c_uminus(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2526,a,2513,b)].
% 22.88/22.91  Derived: c_HOL_Oabs(c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) = c_HOL_Oabs(A,tc_IntDef_Oint).  [resolve(3038,b,2843,a)].
% 22.88/22.91  3039 -c_less(c_HOL_Oabs(A,B),c_0,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2527,a,2513,b)].
% 22.88/22.91  Derived: -c_less(c_HOL_Oabs(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3039,b,2843,a)].
% 22.88/22.91  3040 -c_lessequals(c_0,A,B) | c_HOL_Oabs(A,B) = A | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2528,a,2513,b)].
% 22.88/22.91  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_HOL_Oabs(A,tc_IntDef_Oint) = A.  [resolve(3040,c,2843,a)].
% 22.88/22.91  3041 -c_lessequals(A,c_0,B) | c_HOL_Oabs(A,B) = c_uminus(A,B) | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2529,a,2513,b)].
% 22.88/22.91  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_HOL_Oabs(A,tc_IntDef_Oint) = c_uminus(A,tc_IntDef_Oint).  [resolve(3041,c,2843,a)].
% 22.88/22.91  3042 -c_less(c_0,c_HOL_Oabs(c_0,A),A) | -class_Ring__and__Field_Olordered__ring(A).  [resolve(2530,a,2513,b)].
% 22.88/22.91  Derived: -c_less(c_0,c_HOL_Oabs(c_0,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3042,b,2843,a)].
% 22.88/22.91  3043 c_less(c_0,c_HOL_Oabs(A,B),B) | A = c_0 | -class_Ring__and__Field_Olordered__ring(B).  [resolve(2531,a,2513,b)].
% 22.88/22.91  Derived: c_less(c_0,c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_0.  [resolve(3043,c,2843,a)].
% 22.88/22.91  3044 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_1) # label(axiom).  [assumption].
% 22.88/22.91  3045 class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_55) # label(axiom).  [assumption].
% 22.88/22.91  3046 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oordered__ring__strict(A) # label(clsrel_Ring__and__Field_Oordered__field_38) # label(axiom).  [assumption].
% 22.88/22.91  3047 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oordered__ring__strict(A) # label(clsrel_Ring__and__Field_Oordered__idom_47) # label(axiom).  [assumption].
% 22.88/22.91  3048 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_11) # label(axiom).  [assumption].
% 22.88/22.91  3049 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_12) # label(axiom).  [assumption].
% 22.88/22.91  3050 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_30) # label(axiom).  [assumption].
% 22.88/22.91  3051 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_8) # label(axiom).  [assumption].
% 22.88/22.91  3052 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(c_0,c_Numeral_Onumber__of(B,A),A) | -c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(C,D,A) # label(cls_NatSimprocs_Omult__le__cancel__left__number__of_0) # label(axiom).  [assumption].
% 22.88/22.91  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(3052,b,3045,a)].
% 22.88/22.92  Derived: -class_Numeral_Onumber(A) | -c_less(c_0,c_Numeral_Onumber__of(B,A),A) | -c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(C,D,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3052,b,3046,b)].
% 22.88/22.92  Derived: -class_Numeral_Onumber(A) | -c_less(c_0,c_Numeral_Onumber__of(B,A),A) | -c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(C,D,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3052,b,3047,b)].
% 22.88/22.92  3053 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | -c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(D,C,A) # label(cls_NatSimprocs_Omult__le__cancel__left__number__of_1) # label(axiom).  [assumption].
% 22.88/22.92  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | -c_lessequals(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint).  [resolve(3053,b,3045,a)].
% 22.88/22.92  Derived: -class_Numeral_Onumber(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | -c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(D,C,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3053,b,3046,b)].
% 22.88/22.92  Derived: -class_Numeral_Onumber(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | -c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(D,C,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3053,b,3047,b)].
% 22.88/22.92  3054 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | c_less(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) # label(cls_NatSimprocs_Omult__le__cancel__left__number__of_2) # label(axiom).  [assumption].
% 22.88/22.92  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_less(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3054,b,3045,a)].
% 22.88/22.92  Derived: -class_Numeral_Onumber(A) | c_less(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3054,b,3046,b)].
% 22.88/22.92  Derived: -class_Numeral_Onumber(A) | c_less(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3054,b,3047,b)].
% 22.88/22.92  3055 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_less(c_0,c_Numeral_Onumber__of(D,A),A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) # label(cls_NatSimprocs_Omult__le__cancel__left__number__of_3) # label(axiom).  [assumption].
% 22.88/22.92  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_lessequals(A,B,tc_IntDef_Oint) | c_less(c_0,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3055,b,3045,a)].
% 22.88/22.92  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_0,c_Numeral_Onumber__of(D,A),A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3055,b,3046,b)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_0,c_Numeral_Onumber__of(D,A),A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3055,b,3047,b)].
% 22.88/22.93  3056 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_less(c_Numeral_Onumber__of(D,A),c_0,A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),B,A),c_times(c_Numeral_Onumber__of(D,A),C,A),A) # label(cls_NatSimprocs_Omult__le__cancel__left__number__of_4) # label(axiom).  [assumption].
% 22.88/22.93  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_lessequals(A,B,tc_IntDef_Oint) | c_less(c_Numeral_Onumber__of(C,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),A,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3056,b,3045,a)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_Numeral_Onumber__of(D,A),c_0,A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),B,A),c_times(c_Numeral_Onumber__of(D,A),C,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3056,b,3046,b)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_Numeral_Onumber__of(D,A),c_0,A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),B,A),c_times(c_Numeral_Onumber__of(D,A),C,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3056,b,3047,b)].
% 22.88/22.93  3057 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | -c_lessequals(C,B,A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) # label(cls_NatSimprocs_Omult__le__cancel__left__number__of_5) # label(axiom).  [assumption].
% 22.88/22.93  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(B,A,tc_IntDef_Oint) | c_lessequals(c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3057,b,3045,a)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | -c_lessequals(C,B,A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3057,b,3046,b)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | -c_lessequals(C,B,A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3057,b,3047,b)].
% 22.88/22.93  3058 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(c_0,c_Numeral_Onumber__of(B,A),A) | -c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | c_lessequals(C,D,A) # label(cls_NatSimprocs_Omult__le__cancel__right__number__of_0) # label(axiom).  [assumption].
% 22.88/22.93  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_times(B,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint),c_times(C,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(3058,b,3045,a)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | -c_less(c_0,c_Numeral_Onumber__of(B,A),A) | -c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | c_lessequals(C,D,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3058,b,3046,b)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | -c_less(c_0,c_Numeral_Onumber__of(B,A),A) | -c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | c_lessequals(C,D,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3058,b,3047,b)].
% 22.88/22.93  3059 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | -c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | c_lessequals(D,C,A) # label(cls_NatSimprocs_Omult__le__cancel__right__number__of_1) # label(axiom).  [assumption].
% 22.88/22.93  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | -c_lessequals(c_times(B,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint),c_times(C,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint).  [resolve(3059,b,3045,a)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | -c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | c_lessequals(D,C,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3059,b,3046,b)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | -c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | c_lessequals(D,C,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3059,b,3047,b)].
% 22.88/22.93  3060 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | c_less(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) # label(cls_NatSimprocs_Omult__le__cancel__right__number__of_2) # label(axiom).  [assumption].
% 22.88/22.93  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_less(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(c_times(B,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint),c_times(C,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3060,b,3045,a)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | c_less(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3060,b,3046,b)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | c_less(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3060,b,3047,b)].
% 22.88/22.93  3061 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_less(c_0,c_Numeral_Onumber__of(D,A),A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) # label(cls_NatSimprocs_Omult__le__cancel__right__number__of_3) # label(axiom).  [assumption].
% 22.88/22.93  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_lessequals(A,B,tc_IntDef_Oint) | c_less(c_0,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3061,b,3045,a)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_0,c_Numeral_Onumber__of(D,A),A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3061,b,3046,b)].
% 22.88/22.93  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_0,c_Numeral_Onumber__of(D,A),A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3061,b,3047,b)].
% 22.88/22.93  3062 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_less(c_Numeral_Onumber__of(D,A),c_0,A) | c_lessequals(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) # label(cls_NatSimprocs_Omult__le__cancel__right__number__of_4) # label(axiom).  [assumption].
% 22.88/22.94  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_lessequals(A,B,tc_IntDef_Oint) | c_less(c_Numeral_Onumber__of(C,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3062,b,3045,a)].
% 22.88/22.94  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_Numeral_Onumber__of(D,A),c_0,A) | c_lessequals(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3062,b,3046,b)].
% 22.88/22.94  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_Numeral_Onumber__of(D,A),c_0,A) | c_lessequals(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3062,b,3047,b)].
% 22.88/22.94  3063 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | -c_lessequals(C,B,A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) # label(cls_NatSimprocs_Omult__le__cancel__right__number__of_5) # label(axiom).  [assumption].
% 22.88/22.94  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(B,A,tc_IntDef_Oint) | c_lessequals(c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3063,b,3045,a)].
% 22.88/22.94  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | -c_lessequals(C,B,A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3063,b,3046,b)].
% 22.88/22.94  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | -c_lessequals(C,B,A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3063,b,3047,b)].
% 22.88/22.94  3064 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(C,D,A) # label(cls_NatSimprocs_Omult__less__cancel__left__number__of_0) # label(axiom).  [assumption].
% 22.88/22.94  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,C,tc_IntDef_Oint).  [resolve(3064,b,3045,a)].
% 22.88/22.94  Derived: -class_Numeral_Onumber(A) | -c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(C,D,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3064,b,3046,b)].
% 22.88/22.94  Derived: -class_Numeral_Onumber(A) | -c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(C,D,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3064,b,3047,b)].
% 22.88/22.94  3065 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) | c_less(D,C,A) # label(cls_NatSimprocs_Omult__less__cancel__left__number__of_1) # label(axiom).  [assumption].
% 22.88/22.94  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_less(C,B,tc_IntDef_Oint).  [resolve(3065,b,3045,a)].
% 22.88/22.94  Derived: -class_Numeral_Onumber(A) | -c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) | c_less(D,C,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3065,b,3046,b)].
% 22.88/22.95  Derived: -class_Numeral_Onumber(A) | -c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) | c_less(D,C,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3065,b,3047,b)].
% 22.88/22.95  3066 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) | c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) # label(cls_NatSimprocs_Omult__less__cancel__left__number__of_2) # label(axiom).  [assumption].
% 22.88/22.95  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_less(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3066,b,3045,a)].
% 22.88/22.95  Derived: -class_Numeral_Onumber(A) | c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) | c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3066,b,3046,b)].
% 22.88/22.95  Derived: -class_Numeral_Onumber(A) | c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) | c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3066,b,3047,b)].
% 22.88/22.95  3067 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(B,C,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(D,A),A) # label(cls_NatSimprocs_Omult__less__cancel__left__number__of_3) # label(axiom).  [assumption].
% 22.88/22.95  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(A,B,tc_IntDef_Oint) | c_less(c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3067,b,3045,a)].
% 22.88/22.95  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3067,b,3046,b)].
% 22.88/22.95  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3067,b,3047,b)].
% 22.88/22.95  3068 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(B,C,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),B,A),c_times(c_Numeral_Onumber__of(D,A),C,A),A) | c_lessequals(c_Numeral_Onumber__of(D,A),c_0,A) # label(cls_NatSimprocs_Omult__less__cancel__left__number__of_4) # label(axiom).  [assumption].
% 22.88/22.95  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(A,B,tc_IntDef_Oint) | c_less(c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),A,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_Numeral_Onumber__of(C,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3068,b,3045,a)].
% 22.88/22.95  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),B,A),c_times(c_Numeral_Onumber__of(D,A),C,A),A) | c_lessequals(c_Numeral_Onumber__of(D,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3068,b,3046,b)].
% 22.88/22.95  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),B,A),c_times(c_Numeral_Onumber__of(D,A),C,A),A) | c_lessequals(c_Numeral_Onumber__of(D,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3068,b,3047,b)].
% 22.88/22.96  3069 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(B,C,A) | -c_less(C,B,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) # label(cls_NatSimprocs_Omult__less__cancel__left__number__of_5) # label(axiom).  [assumption].
% 22.88/22.96  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(A,B,tc_IntDef_Oint) | -c_less(B,A,tc_IntDef_Oint) | c_less(c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3069,b,3045,a)].
% 22.88/22.96  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | -c_less(C,B,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3069,b,3046,b)].
% 22.88/22.96  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | -c_less(C,B,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3069,b,3047,b)].
% 22.88/22.96  3070 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | -c_lessequals(c_0,c_Numeral_Onumber__of(C,A),A) | c_less(B,D,A) # label(cls_NatSimprocs_Omult__less__cancel__right__number__of_0) # label(axiom).  [assumption].
% 22.88/22.96  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_times(A,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint),c_times(C,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_0,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(3070,b,3045,a)].
% 22.88/22.96  Derived: -class_Numeral_Onumber(A) | -c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | -c_lessequals(c_0,c_Numeral_Onumber__of(C,A),A) | c_less(B,D,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3070,b,3046,b)].
% 22.88/22.96  Derived: -class_Numeral_Onumber(A) | -c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | -c_lessequals(c_0,c_Numeral_Onumber__of(C,A),A) | c_less(B,D,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3070,b,3047,b)].
% 22.88/22.96  3071 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | -c_lessequals(c_Numeral_Onumber__of(C,A),c_0,A) | c_less(D,B,A) # label(cls_NatSimprocs_Omult__less__cancel__right__number__of_1) # label(axiom).  [assumption].
% 22.88/22.96  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_times(A,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint),c_times(C,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_Numeral_Onumber__of(B,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_less(C,A,tc_IntDef_Oint).  [resolve(3071,b,3045,a)].
% 22.88/22.96  Derived: -class_Numeral_Onumber(A) | -c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | -c_lessequals(c_Numeral_Onumber__of(C,A),c_0,A) | c_less(D,B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3071,b,3046,b)].
% 22.88/22.96  Derived: -class_Numeral_Onumber(A) | -c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | -c_lessequals(c_Numeral_Onumber__of(C,A),c_0,A) | c_less(D,B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3071,b,3047,b)].
% 22.88/22.96  3072 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(C,A),A) | c_lessequals(c_Numeral_Onumber__of(C,A),c_0,A) # label(cls_NatSimprocs_Omult__less__cancel__right__number__of_2) # label(axiom).  [assumption].
% 22.88/22.96  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_less(c_times(A,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint),c_times(C,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_Numeral_Onumber__of(B,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3072,b,3045,a)].
% 22.97/22.96  Derived: -class_Numeral_Onumber(A) | c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(C,A),A) | c_lessequals(c_Numeral_Onumber__of(C,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3072,b,3046,b)].
% 22.97/22.96  Derived: -class_Numeral_Onumber(A) | c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(C,A),A) | c_lessequals(c_Numeral_Onumber__of(C,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3072,b,3047,b)].
% 22.97/22.96  3073 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(B,C,A) | c_less(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(D,A),A) # label(cls_NatSimprocs_Omult__less__cancel__right__number__of_3) # label(axiom).  [assumption].
% 22.97/22.96  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(A,B,tc_IntDef_Oint) | c_less(c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3073,b,3045,a)].
% 22.97/22.96  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3073,b,3046,b)].
% 22.97/22.96  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3073,b,3047,b)].
% 22.97/22.96  3074 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(B,C,A) | c_less(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | c_lessequals(c_Numeral_Onumber__of(D,A),c_0,A) # label(cls_NatSimprocs_Omult__less__cancel__right__number__of_4) # label(axiom).  [assumption].
% 22.97/22.96  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(A,B,tc_IntDef_Oint) | c_less(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_Numeral_Onumber__of(C,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3074,b,3045,a)].
% 22.97/22.96  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | c_lessequals(c_Numeral_Onumber__of(D,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3074,b,3046,b)].
% 22.97/22.96  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | c_lessequals(c_Numeral_Onumber__of(D,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3074,b,3047,b)].
% 22.97/22.96  3075 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(B,C,A) | -c_less(C,B,A) | c_less(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) # label(cls_NatSimprocs_Omult__less__cancel__right__number__of_5) # label(axiom).  [assumption].
% 22.97/22.96  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(A,B,tc_IntDef_Oint) | -c_less(B,A,tc_IntDef_Oint) | c_less(c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3075,b,3045,a)].
% 22.97/22.96  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | -c_less(C,B,A) | c_less(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3075,b,3046,b)].
% 22.97/22.96  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | -c_less(C,B,A) | c_less(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3075,b,3047,b)].
% 23.01/23.02  3076 -class_Ring__and__Field_Oordered__ring__strict(A) | c_times(B,C,A) != c_0 | C = c_0 | B = c_0 # label(cls_Ring__and__Field_Omult__eq__0__iff_0) # label(axiom).  [assumption].
% 23.01/23.02  Derived: c_times(A,B,tc_IntDef_Oint) != c_0 | B = c_0 | A = c_0.  [resolve(3076,a,3045,a)].
% 23.01/23.02  Derived: c_times(A,B,C) != c_0 | B = c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(C).  [resolve(3076,a,3046,b)].
% 23.01/23.02  Derived: c_times(A,B,C) != c_0 | B = c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3076,a,3047,b)].
% 23.01/23.02  3077 -class_Ring__and__Field_Oordered__ring__strict(A) | c_lessequals(B,B,A).  [resolve(23,b,2,a)].
% 23.01/23.02  3078 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(33,a,23,b)].
% 23.01/23.02  3079 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(34,a,23,b)].
% 23.01/23.02  3080 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(35,a,23,b)].
% 23.01/23.02  3081 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(36,a,23,b)].
% 23.01/23.02  3082 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(37,a,23,b)].
% 23.01/23.02  3083 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(38,a,23,b)].
% 23.01/23.02  3084 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(39,a,23,b)].
% 23.01/23.02  3085 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(40,a,23,b)].
% 23.01/23.02  3086 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(41,a,23,b)].
% 23.01/23.02  3087 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(42,a,23,b)].
% 23.01/23.02  3088 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(71,a,89,b)].
% 23.01/23.02  3089 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(100,a,89,b)].
% 23.01/23.02  3090 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(102,a,89,b)].
% 23.01/23.02  3091 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(108,b,89,b)].
% 23.01/23.02  3092 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(109,b,89,b)].
% 23.01/23.02  3093 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(183,a,168,b)].
% 23.01/23.02  3094 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(184,a,168,b)].
% 23.01/23.02  3095 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(221,c,202,b)].
% 23.01/23.02  3096 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(222,c,202,b)].
% 23.01/23.02  3097 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(223,a,202,b)].
% 23.03/23.10  3098 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(224,a,202,b)].
% 23.03/23.10  3099 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(226,b,202,b)].
% 23.03/23.10  3100 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(227,b,202,b)].
% 23.03/23.10  3101 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(307,a,296,b)].
% 23.03/23.10  3102 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(308,a,296,b)].
% 23.03/23.10  3103 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(346,b,335,b)].
% 23.03/23.10  3104 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(380,a,365,b)].
% 23.03/23.10  3105 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(381,a,365,b)].
% 23.03/23.10  3106 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(386,b,365,b)].
% 23.03/23.10  3107 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(389,c,365,b)].
% 23.03/23.10  3108 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(390,c,365,b)].
% 23.03/23.10  3109 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(391,b,365,b)].
% 23.03/23.10  3110 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(410,a,403,b)].
% 23.03/23.10  3111 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(413,b,403,b)].
% 23.03/23.10  3112 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(414,b,403,b)].
% 23.03/23.10  3113 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(415,a,403,b)].
% 23.03/23.10  3114 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(416,a,403,b)].
% 23.03/23.10  3115 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(417,a,403,b)].
% 23.03/23.10  3116 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(421,b,403,b)].
% 23.03/23.10  3117 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(428,c,403,b)].
% 23.03/23.10  3118 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(429,c,403,b)].
% 23.03/23.10  3119 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(433,b,403,b)].
% 23.03/23.10  3120 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(434,b,403,b)].
% 23.03/23.10  3121 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(439,b,403,b)].
% 23.03/23.10  3122 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(440,b,403,b)].
% 23.03/23.10  3123 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(441,b,403,b)].
% 23.03/23.10  3124 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(442,c,403,b)].
% 23.03/23.10  3125 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(443,c,403,b)].
% 23.03/23.10  3126 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(444,b,403,b)].
% 23.03/23.10  3127 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1087,a,1083,b)].
% 23.12/23.13  3128 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1118,a,1114,b)].
% 23.12/23.13  3129 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1161,b,1144,b)].
% 23.12/23.13  3130 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1163,b,1144,b)].
% 23.12/23.13  3131 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1164,c,1144,b)].
% 23.12/23.13  3132 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1165,b,1144,b)].
% 23.12/23.13  3133 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1166,c,1144,b)].
% 23.12/23.13  3134 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1167,c,1144,b)].
% 23.12/23.13  3135 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1168,c,1144,b)].
% 23.12/23.13  3136 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1169,c,1144,b)].
% 23.12/23.13  3137 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1170,c,1144,b)].
% 23.12/23.13  3138 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1171,c,1144,b)].
% 23.12/23.13  3139 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1172,b,1144,b)].
% 23.12/23.13  3140 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1185,a,1181,b)].
% 23.12/23.13  3141 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1186,a,1181,b)].
% 23.12/23.13  3142 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1187,a,1181,b)].
% 23.12/23.13  3143 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1188,a,1181,b)].
% 23.12/23.13  3144 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1189,a,1181,b)].
% 23.12/23.13  3145 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1190,a,1181,b)].
% 23.12/23.13  3146 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1191,a,1181,b)].
% 23.12/23.13  3147 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1192,a,1181,b)].
% 23.12/23.13  3148 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1193,a,1181,b)].
% 23.12/23.13  3149 c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1194,a,1181,b)].
% 23.12/23.13  3150 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1195,a,1181,b)].
% 23.12/23.16  3151 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1196,a,1181,b)].
% 23.12/23.16  3152 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1197,a,1181,b)].
% 23.12/23.16  3153 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1198,a,1181,b)].
% 23.12/23.16  3154 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1199,a,1181,b)].
% 23.12/23.16  3155 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1200,a,1181,b)].
% 23.12/23.16  3156 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1201,a,1181,b)].
% 23.12/23.16  3157 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1202,a,1181,b)].
% 23.12/23.16  3158 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1203,a,1181,b)].
% 23.12/23.16  3159 c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1204,a,1181,b)].
% 23.12/23.16  3160 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1205,a,1181,b)].
% 23.12/23.16  3161 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1206,a,1181,b)].
% 23.12/23.16  3162 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1207,a,1181,b)].
% 23.12/23.16  3163 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1208,b,1181,b)].
% 23.12/23.16  3164 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1209,b,1181,b)].
% 23.12/23.16  3165 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1210,a,1181,b)].
% 23.12/23.16  3166 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1211,a,1181,b)].
% 23.12/23.16  3167 -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1212,a,1181,b)].
% 23.12/23.16  3168 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1213,a,1181,b)].
% 23.12/23.16  3169 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1214,a,1181,b)].
% 23.12/23.16  3170 -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1215,a,1181,b)].
% 23.12/23.16  3171 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1216,a,1181,b)].
% 23.12/23.16  3172 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1217,a,1181,b)].
% 23.12/23.19  3173 -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1218,a,1181,b)].
% 23.12/23.19  3174 c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1219,a,1181,b)].
% 23.12/23.19  3175 c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1220,a,1181,b)].
% 23.12/23.19  3176 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1221,a,1181,b)].
% 23.12/23.19  3177 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1222,a,1181,b)].
% 23.12/23.19  3178 -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1223,a,1181,b)].
% 23.12/23.19  3179 c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1224,a,1181,b)].
% 23.12/23.19  3180 c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1225,a,1181,b)].
% 23.12/23.19  3181 c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1226,a,1181,b)].
% 23.12/23.19  3182 c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1227,a,1181,b)].
% 23.12/23.19  3183 c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1228,a,1181,b)].
% 23.12/23.19  3184 c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1229,a,1181,b)].
% 23.12/23.19  3185 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1230,a,1181,b)].
% 23.12/23.19  3186 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1231,a,1181,b)].
% 23.12/23.19  3187 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1232,a,1181,b)].
% 23.12/23.19  3188 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1233,a,1181,b)].
% 23.12/23.19  3189 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1234,a,1181,b)].
% 23.12/23.19  3190 -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1235,a,1181,b)].
% 23.12/23.19  3191 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1236,a,1181,b)].
% 23.12/23.19  3192 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1237,a,1181,b)].
% 23.12/23.19  3193 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1238,a,1181,b)].
% 23.12/23.19  3194 -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1239,a,1181,b)].
% 23.12/23.19  3195 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1240,a,1181,b)].
% 23.20/23.24  3196 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1241,a,1181,b)].
% 23.20/23.24  3197 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1242,a,1181,b)].
% 23.20/23.24  3198 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1362,a,1358,b)].
% 23.20/23.24  3199 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1363,a,1358,b)].
% 23.20/23.24  3200 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1364,a,1358,b)].
% 23.20/23.24  3201 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1365,a,1358,b)].
% 23.20/23.24  3202 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1366,a,1358,b)].
% 23.20/23.24  3203 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1367,a,1358,b)].
% 23.20/23.24  3204 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1368,a,1358,b)].
% 23.20/23.24  3205 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1369,a,1358,b)].
% 23.20/23.24  3206 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1385,b,1358,b)].
% 23.20/23.24  3207 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1386,b,1358,b)].
% 23.20/23.24  3208 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1388,b,1358,b)].
% 23.20/23.24  3209 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1389,c,1358,b)].
% 23.20/23.24  3210 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1390,b,1358,b)].
% 23.20/23.24  3211 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1391,c,1358,b)].
% 23.20/23.24  3212 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1392,c,1358,b)].
% 23.20/23.24  3213 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1393,c,1358,b)].
% 23.20/23.24  3214 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1394,c,1358,b)].
% 23.20/23.24  3215 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1395,c,1358,b)].
% 23.20/23.24  3216 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1396,c,1358,b)].
% 23.20/23.24  3217 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1397,b,1358,b)].
% 23.20/23.24  3218 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1398,c,1358,b)].
% 23.20/23.24  3219 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1399,c,1358,b)].
% 23.20/23.24  3220 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1498,b,1408,b)].
% 23.20/23.24  3221 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1499,b,1408,b)].
% 23.20/23.24  3222 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1523,b,1408,b)].
% 23.20/23.24  3223 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1631,b,1589,b)].
% 23.20/23.26  3224 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1632,b,1589,b)].
% 23.20/23.26  3225 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1633,c,1589,b)].
% 23.20/23.26  3226 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1634,b,1589,b)].
% 23.20/23.26  3227 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1635,c,1589,b)].
% 23.20/23.26  3228 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1636,c,1589,b)].
% 23.20/23.26  3229 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1637,c,1589,b)].
% 23.20/23.26  3230 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1638,c,1589,b)].
% 23.20/23.26  3231 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1639,c,1589,b)].
% 23.20/23.26  3232 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1640,c,1589,b)].
% 23.20/23.26  3233 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1641,b,1589,b)].
% 23.20/23.26  3234 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1642,b,1589,b)].
% 23.20/23.26  3235 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1643,c,1589,b)].
% 23.20/23.26  3236 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1644,c,1589,b)].
% 23.20/23.26  3237 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1645,b,1589,b)].
% 23.20/23.26  3238 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1646,b,1589,b)].
% 23.20/23.26  3239 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1706,e,1654,b)].
% 23.20/23.26  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(3239,e,3046,b)].
% 23.20/23.26  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3239,e,3047,b)].
% 23.20/23.26  3240 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1707,d,1654,b)].
% 23.20/23.26  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(3240,d,3046,b)].
% 23.20/23.26  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3240,d,3047,b)].
% 23.20/23.26  3241 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1708,d,1654,b)].
% 23.20/23.26  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3241,d,3046,b)].
% 23.20/23.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3241,d,3047,b)].
% 23.20/23.27  3242 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1709,f,1654,b)].
% 23.20/23.27  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(3242,f,3046,b)].
% 23.20/23.27  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3242,f,3047,b)].
% 23.20/23.27  3243 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1710,e,1654,b)].
% 23.20/23.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(3243,e,3046,b)].
% 23.20/23.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3243,e,3047,b)].
% 23.20/23.27  3244 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1711,e,1654,b)].
% 23.20/23.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(3244,e,3046,b)].
% 23.20/23.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3244,e,3047,b)].
% 23.20/23.27  3245 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1712,f,1654,b)].
% 23.20/23.27  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(3245,f,3046,b)].
% 23.20/23.27  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3245,f,3047,b)].
% 23.20/23.27  3246 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1713,e,1654,b)].
% 23.20/23.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(3246,e,3046,b)].
% 23.20/23.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3246,e,3047,b)].
% 23.20/23.27  3247 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1714,e,1654,b)].
% 23.20/23.27  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(3247,e,3046,b)].
% 23.29/23.28  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3247,e,3047,b)].
% 23.29/23.28  3248 c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1715,b,1654,b)].
% 23.29/23.28  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3248,b,3046,b)].
% 23.29/23.28  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3248,b,3047,b)].
% 23.29/23.28  3249 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1716,f,1654,b)].
% 23.29/23.28  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(3249,f,3046,b)].
% 23.29/23.28  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3249,f,3047,b)].
% 23.29/23.28  3250 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1717,e,1654,b)].
% 23.29/23.28  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(3250,e,3046,b)].
% 23.29/23.28  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3250,e,3047,b)].
% 23.29/23.28  3251 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1718,e,1654,b)].
% 23.29/23.28  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(3251,e,3046,b)].
% 23.29/23.28  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3251,e,3047,b)].
% 23.29/23.28  3252 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1719,f,1654,b)].
% 23.29/23.28  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(3252,f,3046,b)].
% 23.29/23.28  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3252,f,3047,b)].
% 23.29/23.28  3253 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1720,e,1654,b)].
% 23.29/23.28  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(3253,e,3046,b)].
% 23.29/23.28  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3253,e,3047,b)].
% 23.29/23.28  3254 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1721,e,1654,b)].
% 23.29/23.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(3254,e,3046,b)].
% 23.29/23.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3254,e,3047,b)].
% 23.29/23.29  3255 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1722,d,1654,b)].
% 23.29/23.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(3255,d,3046,b)].
% 23.29/23.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3255,d,3047,b)].
% 23.29/23.29  3256 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1723,d,1654,b)].
% 23.29/23.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3256,d,3046,b)].
% 23.29/23.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3256,d,3047,b)].
% 23.29/23.29  3257 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1724,e,1654,b)].
% 23.29/23.29  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(3257,e,3046,b)].
% 23.29/23.29  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3257,e,3047,b)].
% 23.29/23.29  3258 c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1725,b,1654,b)].
% 23.29/23.29  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3258,b,3046,b)].
% 23.29/23.29  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3258,b,3047,b)].
% 23.29/23.29  3259 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1726,d,1654,b)].
% 23.29/23.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(3259,d,3046,b)].
% 23.29/23.29  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3259,d,3047,b)].
% 23.29/23.29  3260 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1727,e,1654,b)].
% 23.29/23.29  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__field(C).  [resolve(3260,e,3046,b)].
% 23.29/23.29  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3260,e,3047,b)].
% 23.29/23.29  3261 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1728,e,1654,b)].
% 23.31/23.30  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__field(C).  [resolve(3261,e,3046,b)].
% 23.31/23.30  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3261,e,3047,b)].
% 23.31/23.30  3262 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1729,d,1654,b)].
% 23.31/23.30  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3262,d,3046,b)].
% 23.31/23.30  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3262,d,3047,b)].
% 23.31/23.30  3263 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1730,d,1654,b)].
% 23.31/23.30  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3263,d,3046,b)].
% 23.31/23.30  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3263,d,3047,b)].
% 23.31/23.30  3264 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1731,c,1654,b)].
% 23.31/23.30  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3264,c,3046,b)].
% 23.31/23.30  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3264,c,3047,b)].
% 23.31/23.30  3265 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1732,c,1654,b)].
% 23.31/23.30  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3265,c,3046,b)].
% 23.31/23.30  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3265,c,3047,b)].
% 23.31/23.30  3266 -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1733,d,1654,b)].
% 23.31/23.30  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3266,d,3046,b)].
% 23.31/23.30  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3266,d,3047,b)].
% 23.31/23.30  3267 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1734,c,1654,b)].
% 23.31/23.30  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(3267,c,3046,b)].
% 23.31/23.30  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3267,c,3047,b)].
% 23.31/23.30  3268 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1735,c,1654,b)].
% 23.31/23.30  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(3268,c,3046,b)].
% 23.31/23.30  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3268,c,3047,b)].
% 23.31/23.30  3269 -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1736,d,1654,b)].
% 23.31/23.30  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3269,d,3046,b)].
% 23.31/23.30  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3269,d,3047,b)].
% 23.31/23.31  3270 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1737,c,1654,b)].
% 23.31/23.31  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(3270,c,3046,b)].
% 23.31/23.31  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3270,c,3047,b)].
% 23.31/23.31  3271 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(1738,c,1654,b)].
% 23.31/23.31  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(3271,c,3046,b)].
% 23.31/23.31  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3271,c,3047,b)].
% 23.31/23.31  3272 -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1739,d,1654,b)].
% 23.31/23.31  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3272,d,3046,b)].
% 23.31/23.31  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3272,d,3047,b)].
% 23.31/23.31  3273 c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1740,b,1654,b)].
% 23.31/23.31  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3273,b,3046,b)].
% 23.31/23.31  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3273,b,3047,b)].
% 23.31/23.31  3274 c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1741,b,1654,b)].
% 23.31/23.31  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3274,b,3046,b)].
% 23.31/23.31  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3274,b,3047,b)].
% 23.31/23.31  3275 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1742,c,1654,b)].
% 23.31/23.31  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3275,c,3046,b)].
% 23.31/23.31  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3275,c,3047,b)].
% 23.31/23.31  3276 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1743,c,1654,b)].
% 23.31/23.31  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3276,c,3046,b)].
% 23.31/23.31  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3276,c,3047,b)].
% 23.31/23.31  3277 -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1744,d,1654,b)].
% 23.31/23.31  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3277,d,3046,b)].
% 23.31/23.31  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3277,d,3047,b)].
% 23.31/23.31  3278 c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1745,b,1654,b)].
% 23.31/23.31  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3278,b,3046,b)].
% 23.31/23.31  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3278,b,3047,b)].
% 23.31/23.31  3279 c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1746,b,1654,b)].
% 23.33/23.32  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3279,b,3046,b)].
% 23.33/23.32  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3279,b,3047,b)].
% 23.33/23.32  3280 c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1747,b,1654,b)].
% 23.33/23.32  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3280,b,3046,b)].
% 23.33/23.32  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3280,b,3047,b)].
% 23.33/23.32  3281 c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1748,b,1654,b)].
% 23.33/23.32  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3281,b,3046,b)].
% 23.33/23.32  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3281,b,3047,b)].
% 23.33/23.32  3282 c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1749,b,1654,b)].
% 23.33/23.32  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3282,b,3046,b)].
% 23.33/23.32  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3282,b,3047,b)].
% 23.33/23.32  3283 c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1750,b,1654,b)].
% 23.33/23.32  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3283,b,3046,b)].
% 23.33/23.32  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3283,b,3047,b)].
% 23.33/23.32  3284 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1751,c,1654,b)].
% 23.33/23.32  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(3284,c,3046,b)].
% 23.33/23.32  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3284,c,3047,b)].
% 23.33/23.32  3285 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1752,c,1654,b)].
% 23.33/23.32  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(3285,c,3046,b)].
% 23.33/23.32  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3285,c,3047,b)].
% 23.33/23.32  3286 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1753,c,1654,b)].
% 23.33/23.32  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(3286,c,3046,b)].
% 23.33/23.32  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3286,c,3047,b)].
% 23.33/23.32  3287 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1754,c,1654,b)].
% 23.33/23.32  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3287,c,3046,b)].
% 23.33/23.33  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3287,c,3047,b)].
% 23.33/23.33  3288 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1755,c,1654,b)].
% 23.33/23.33  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3288,c,3046,b)].
% 23.33/23.33  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3288,c,3047,b)].
% 23.33/23.33  3289 -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1756,c,1654,b)].
% 23.33/23.33  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3289,c,3046,b)].
% 23.33/23.33  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3289,c,3047,b)].
% 23.33/23.33  3290 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1757,d,1654,b)].
% 23.33/23.33  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3290,d,3046,b)].
% 23.33/23.33  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3290,d,3047,b)].
% 23.33/23.33  3291 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1758,d,1654,b)].
% 23.33/23.33  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3291,d,3046,b)].
% 23.33/23.33  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3291,d,3047,b)].
% 23.33/23.33  3292 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1759,c,1654,b)].
% 23.33/23.33  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3292,c,3046,b)].
% 23.33/23.33  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3292,c,3047,b)].
% 23.33/23.33  3293 -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1760,d,1654,b)].
% 23.33/23.33  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3293,d,3046,b)].
% 23.33/23.33  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3293,d,3047,b)].
% 23.33/23.34  3294 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1761,c,1654,b)].
% 23.33/23.34  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(3294,c,3046,b)].
% 23.33/23.34  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3294,c,3047,b)].
% 23.33/23.34  3295 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1762,c,1654,b)].
% 23.33/23.34  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3295,c,3046,b)].
% 23.33/23.34  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3295,c,3047,b)].
% 23.33/23.34  3296 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1763,c,1654,b)].
% 23.33/23.34  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3296,c,3046,b)].
% 23.33/23.34  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3296,c,3047,b)].
% 23.33/23.34  3297 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1765,c,1654,b)].
% 23.33/23.34  3298 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1766,c,1654,b)].
% 23.33/23.34  3299 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1767,c,1654,b)].
% 23.33/23.34  3300 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1768,c,1654,b)].
% 23.33/23.34  3301 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1769,c,1654,b)].
% 23.33/23.34  3302 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1770,c,1654,b)].
% 23.33/23.34  3303 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1771,c,1654,b)].
% 23.33/23.34  3304 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1772,c,1654,b)].
% 23.33/23.34  3305 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1773,b,1654,b)].
% 23.33/23.34  3306 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1786,c,1654,b)].
% 23.33/23.34  3307 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1787,c,1654,b)].
% 23.33/23.34  3308 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1788,b,1654,b)].
% 23.33/23.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3308,b,3046,b)].
% 23.33/23.34  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3308,b,3047,b)].
% 23.33/23.34  3309 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1789,b,1654,b)].
% 23.33/23.34  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3309,b,3046,b)].
% 23.33/23.34  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3309,b,3047,b)].
% 23.33/23.34  3310 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1790,b,1654,b)].
% 23.33/23.34  3311 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1796,b,1654,b)].
% 23.33/23.40  3312 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1797,b,1654,b)].
% 23.33/23.40  3313 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1798,b,1654,b)].
% 23.33/23.40  3314 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1799,b,1654,b)].
% 23.33/23.40  3315 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1800,c,1654,b)].
% 23.33/23.40  3316 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1801,b,1654,b)].
% 23.33/23.40  3317 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1802,c,1654,b)].
% 23.33/23.40  3318 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1803,c,1654,b)].
% 23.33/23.40  3319 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1804,c,1654,b)].
% 23.33/23.40  3320 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1805,c,1654,b)].
% 23.33/23.40  3321 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1806,c,1654,b)].
% 23.33/23.40  3322 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(1807,c,1654,b)].
% 23.33/23.40  3323 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1808,b,1654,b)].
% 23.33/23.40  3324 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1809,b,1654,b)].
% 23.33/23.40  3325 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1810,c,1654,b)].
% 23.33/23.40  3326 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(1811,c,1654,b)].
% 23.33/23.40  3327 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1812,b,1654,b)].
% 23.33/23.40  3328 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(1813,b,1654,b)].
% 23.33/23.40  3329 -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2233,a,2232,b)].
% 23.33/23.40  Derived: -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3329,c,3046,b)].
% 23.33/23.40  Derived: -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3329,c,3047,b)].
% 23.33/23.40  3330 -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2234,a,2232,b)].
% 23.33/23.40  Derived: -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3330,c,3046,b)].
% 23.33/23.40  Derived: -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3330,c,3047,b)].
% 23.33/23.40  3331 c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2235,a,2232,b)].
% 23.33/23.40  Derived: c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3331,c,3046,b)].
% 23.33/23.40  Derived: c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3331,c,3047,b)].
% 23.33/23.40  3332 c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2236,a,2232,b)].
% 23.41/23.41  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3332,b,3046,b)].
% 23.41/23.41  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3332,b,3047,b)].
% 23.41/23.41  3333 c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2237,a,2232,b)].
% 23.41/23.41  Derived: c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3333,c,3046,b)].
% 23.41/23.41  Derived: c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3333,c,3047,b)].
% 23.41/23.41  3334 c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2238,a,2232,b)].
% 23.41/23.41  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3334,b,3046,b)].
% 23.41/23.41  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3334,b,3047,b)].
% 23.41/23.41  3335 c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2239,a,2232,b)].
% 23.41/23.41  Derived: c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3335,b,3046,b)].
% 23.41/23.41  Derived: c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3335,b,3047,b)].
% 23.41/23.41  3336 c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2240,a,2232,b)].
% 23.41/23.41  Derived: c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3336,b,3046,b)].
% 23.41/23.41  Derived: c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3336,b,3047,b)].
% 23.41/23.41  3337 c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2241,a,2232,b)].
% 23.41/23.41  Derived: c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3337,b,3046,b)].
% 23.41/23.41  Derived: c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3337,b,3047,b)].
% 23.41/23.41  3338 -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2242,a,2232,b)].
% 23.41/23.41  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3338,c,3046,b)].
% 23.41/23.41  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3338,c,3047,b)].
% 23.41/23.41  3339 -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2243,a,2232,b)].
% 23.41/23.41  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3339,c,3046,b)].
% 23.41/23.41  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3339,c,3047,b)].
% 23.41/23.41  3340 c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2244,a,2232,b)].
% 23.41/23.41  Derived: c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3340,b,3046,b)].
% 23.41/23.41  Derived: c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3340,b,3047,b)].
% 23.41/23.41  3341 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2245,a,2232,b)].
% 23.41/23.41  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3341,c,3046,b)].
% 23.41/23.41  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3341,c,3047,b)].
% 23.41/23.42  3342 c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2246,a,2232,b)].
% 23.41/23.42  Derived: c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3342,b,3046,b)].
% 23.41/23.42  Derived: c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3342,b,3047,b)].
% 23.41/23.42  3343 -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2247,a,2232,b)].
% 23.41/23.42  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3343,c,3046,b)].
% 23.41/23.42  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3343,c,3047,b)].
% 23.41/23.42  3344 -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2248,a,2232,b)].
% 23.41/23.42  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3344,c,3046,b)].
% 23.41/23.42  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3344,c,3047,b)].
% 23.41/23.42  3345 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2249,a,2232,b)].
% 23.41/23.42  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3345,c,3046,b)].
% 23.41/23.42  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3345,c,3047,b)].
% 23.41/23.42  3346 -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2250,a,2232,b)].
% 23.41/23.42  Derived: -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3346,c,3046,b)].
% 23.41/23.42  Derived: -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3346,c,3047,b)].
% 23.41/23.42  3347 -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2251,a,2232,b)].
% 23.41/23.42  Derived: -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3347,c,3046,b)].
% 23.41/23.42  Derived: -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3347,c,3047,b)].
% 23.41/23.42  3348 c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2252,a,2232,b)].
% 23.41/23.42  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3348,b,3046,b)].
% 23.41/23.42  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3348,b,3047,b)].
% 23.41/23.42  3349 class_OrderedGroup_Opordered__ab__group__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2321,a,2317,b)].
% 23.41/23.42  Derived: class_OrderedGroup_Opordered__ab__group__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3349,b,3046,b)].
% 23.41/23.42  Derived: class_OrderedGroup_Opordered__ab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3349,b,3047,b)].
% 23.41/23.42  3350 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2356,b,2317,b)].
% 23.41/23.42  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3350,b,3046,b)].
% 23.41/23.42  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3350,b,3047,b)].
% 23.41/23.42  3351 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2357,c,2317,b)].
% 23.41/23.42  3352 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2358,c,2317,b)].
% 23.41/23.43  3353 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2359,b,2317,b)].
% 23.41/23.43  3354 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2360,b,2317,b)].
% 23.41/23.43  3355 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2361,b,2317,b)].
% 23.41/23.43  3356 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2414,a,2425,b)].
% 23.41/23.43  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(3356,c,3046,b)].
% 23.41/23.43  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3356,c,3047,b)].
% 23.41/23.43  3357 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2429,a,2425,b)].
% 23.41/23.43  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(3357,c,3046,b)].
% 23.41/23.43  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3357,c,3047,b)].
% 23.41/23.43  3358 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2430,a,2425,b)].
% 23.41/23.43  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3358,d,3046,b)].
% 23.41/23.43  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3358,d,3047,b)].
% 23.41/23.43  3359 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2431,a,2425,b)].
% 23.41/23.43  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(3359,c,3046,b)].
% 23.41/23.43  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3359,c,3047,b)].
% 23.41/23.43  3360 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2432,a,2425,b)].
% 23.41/23.43  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(3360,c,3046,b)].
% 23.41/23.43  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3360,c,3047,b)].
% 23.41/23.43  3361 -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2433,a,2425,b)].
% 23.41/23.43  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3361,d,3046,b)].
% 23.41/23.43  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3361,d,3047,b)].
% 23.41/23.43  3362 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2434,a,2425,b)].
% 23.41/23.43  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3362,c,3046,b)].
% 23.41/23.43  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3362,c,3047,b)].
% 23.41/23.43  3363 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2435,a,2425,b)].
% 23.41/23.43  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3363,c,3046,b)].
% 23.41/23.45  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3363,c,3047,b)].
% 23.41/23.45  3364 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2436,a,2425,b)].
% 23.41/23.45  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3364,c,3046,b)].
% 23.41/23.45  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3364,c,3047,b)].
% 23.41/23.45  3365 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2437,a,2425,b)].
% 23.41/23.45  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3365,c,3046,b)].
% 23.41/23.45  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3365,c,3047,b)].
% 23.41/23.45  3366 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2438,a,2425,b)].
% 23.41/23.45  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(3366,c,3046,b)].
% 23.41/23.45  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3366,c,3047,b)].
% 23.41/23.45  3367 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2439,a,2425,b)].
% 23.41/23.45  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(3367,c,3046,b)].
% 23.41/23.45  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3367,c,3047,b)].
% 23.41/23.45  3368 -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2440,a,2425,b)].
% 23.41/23.45  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3368,d,3046,b)].
% 23.41/23.45  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3368,d,3047,b)].
% 23.41/23.45  3369 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2441,a,2425,b)].
% 23.41/23.45  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(3369,c,3046,b)].
% 23.41/23.45  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3369,c,3047,b)].
% 23.41/23.45  3370 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__ring__strict(D).  [resolve(2442,a,2425,b)].
% 23.41/23.45  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(3370,c,3046,b)].
% 23.41/23.45  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3370,c,3047,b)].
% 23.41/23.45  3371 -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2443,a,2425,b)].
% 23.41/23.45  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3371,d,3046,b)].
% 23.41/23.45  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3371,d,3047,b)].
% 23.41/23.45  3372 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2444,a,2425,b)].
% 23.41/23.45  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3372,c,3046,b)].
% 23.41/23.47  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3372,c,3047,b)].
% 23.41/23.47  3373 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2445,a,2425,b)].
% 23.41/23.47  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3373,c,3046,b)].
% 23.41/23.47  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3373,c,3047,b)].
% 23.41/23.47  3374 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2446,a,2425,b)].
% 23.41/23.47  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3374,c,3046,b)].
% 23.41/23.47  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3374,c,3047,b)].
% 23.41/23.47  3375 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2447,a,2425,b)].
% 23.41/23.47  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3375,c,3046,b)].
% 23.41/23.47  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3375,c,3047,b)].
% 23.41/23.47  3376 c_0 != c_HOL_Oabs(A,B) | A = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2517,a,2516,b)].
% 23.41/23.47  Derived: c_0 != c_HOL_Oabs(A,B) | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3376,c,3046,b)].
% 23.41/23.47  Derived: c_0 != c_HOL_Oabs(A,B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3376,c,3047,b)].
% 23.41/23.47  3377 c_0 = c_HOL_Oabs(c_0,A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2518,a,2516,b)].
% 23.41/23.47  Derived: c_0 = c_HOL_Oabs(c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3377,b,3046,b)].
% 23.41/23.47  Derived: c_0 = c_HOL_Oabs(c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3377,b,3047,b)].
% 23.41/23.47  3378 c_HOL_Oabs(c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B),B) = c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2519,a,2516,b)].
% 23.41/23.47  Derived: c_HOL_Oabs(c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B),B) = c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3378,b,3046,b)].
% 23.41/23.47  Derived: c_HOL_Oabs(c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B),B) = c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3378,b,3047,b)].
% 23.41/23.47  3379 c_HOL_Oabs(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2520,a,2516,b)].
% 23.41/23.47  Derived: c_HOL_Oabs(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3379,c,3046,b)].
% 23.41/23.47  Derived: c_HOL_Oabs(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3379,c,3047,b)].
% 23.41/23.47  3380 c_HOL_Oabs(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2521,a,2516,b)].
% 23.41/23.47  Derived: c_HOL_Oabs(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3380,b,3046,b)].
% 23.41/23.47  Derived: c_HOL_Oabs(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3380,b,3047,b)].
% 23.41/23.47  3381 c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2522,a,2516,b)].
% 23.41/23.47  Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3381,b,3046,b)].
% 23.41/23.47  Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3381,b,3047,b)].
% 23.41/23.47  3382 c_HOL_Oabs(c_HOL_Oabs(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2523,a,2516,b)].
% 23.41/23.47  Derived: c_HOL_Oabs(c_HOL_Oabs(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3382,b,3046,b)].
% 23.41/23.47  Derived: c_HOL_Oabs(c_HOL_Oabs(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3382,b,3047,b)].
% 23.41/23.47  3383 -c_lessequals(c_HOL_Oabs(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2524,a,2516,b)].
% 23.50/23.48  Derived: -c_lessequals(c_HOL_Oabs(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3383,c,3046,b)].
% 23.50/23.48  Derived: -c_lessequals(c_HOL_Oabs(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3383,c,3047,b)].
% 23.50/23.48  3384 c_lessequals(c_HOL_Oabs(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2525,a,2516,b)].
% 23.50/23.48  Derived: c_lessequals(c_HOL_Oabs(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3384,b,3046,b)].
% 23.50/23.48  Derived: c_lessequals(c_HOL_Oabs(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3384,b,3047,b)].
% 23.50/23.48  3385 c_HOL_Oabs(c_uminus(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2526,a,2516,b)].
% 23.50/23.48  Derived: c_HOL_Oabs(c_uminus(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3385,b,3046,b)].
% 23.50/23.48  Derived: c_HOL_Oabs(c_uminus(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3385,b,3047,b)].
% 23.50/23.48  3386 -c_less(c_HOL_Oabs(A,B),c_0,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2527,a,2516,b)].
% 23.50/23.48  Derived: -c_less(c_HOL_Oabs(A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3386,b,3046,b)].
% 23.50/23.48  Derived: -c_less(c_HOL_Oabs(A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3386,b,3047,b)].
% 23.50/23.48  3387 -c_lessequals(c_0,A,B) | c_HOL_Oabs(A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2528,a,2516,b)].
% 23.50/23.48  Derived: -c_lessequals(c_0,A,B) | c_HOL_Oabs(A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3387,c,3046,b)].
% 23.50/23.48  Derived: -c_lessequals(c_0,A,B) | c_HOL_Oabs(A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3387,c,3047,b)].
% 23.50/23.48  3388 -c_lessequals(A,c_0,B) | c_HOL_Oabs(A,B) = c_uminus(A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2529,a,2516,b)].
% 23.50/23.48  Derived: -c_lessequals(A,c_0,B) | c_HOL_Oabs(A,B) = c_uminus(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3388,c,3046,b)].
% 23.50/23.48  Derived: -c_lessequals(A,c_0,B) | c_HOL_Oabs(A,B) = c_uminus(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3388,c,3047,b)].
% 23.50/23.48  3389 -c_less(c_0,c_HOL_Oabs(c_0,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2530,a,2516,b)].
% 23.50/23.48  Derived: -c_less(c_0,c_HOL_Oabs(c_0,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3389,b,3046,b)].
% 23.50/23.48  Derived: -c_less(c_0,c_HOL_Oabs(c_0,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3389,b,3047,b)].
% 23.50/23.48  3390 c_less(c_0,c_HOL_Oabs(A,B),B) | A = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2531,a,2516,b)].
% 23.50/23.48  Derived: c_less(c_0,c_HOL_Oabs(A,B),B) | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3390,c,3046,b)].
% 23.50/23.48  Derived: c_less(c_0,c_HOL_Oabs(A,B),B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3390,c,3047,b)].
% 23.50/23.48  3391 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2973,b,2850,b)].
% 23.50/23.48  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(3391,b,3045,a)].
% 23.50/23.48  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3391,b,3046,b)].
% 23.50/23.48  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3391,b,3047,b)].
% 23.50/23.48  3392 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2980,b,2850,b)].
% 23.50/23.48  Derived: c_times(c_0,A,tc_IntDef_Oint) = c_0.  [resolve(3392,b,3045,a)].
% 23.50/23.48  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3392,b,3046,b)].
% 23.50/23.48  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3392,b,3047,b)].
% 23.50/23.48  3393 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2981,b,2850,b)].
% 23.50/23.48  Derived: c_times(A,c_0,tc_IntDef_Oint) = c_0.  [resolve(3393,b,3045,a)].
% 23.50/23.48  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3393,b,3046,b)].
% 23.50/23.49  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3393,b,3047,b)].
% 23.50/23.49  3394 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2982,c,2850,b)].
% 23.50/23.49  Derived: -c_lessequals(c_plus(A,B,tc_IntDef_Oint),c_plus(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(3394,c,3045,a)].
% 23.50/23.49  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3394,c,3046,b)].
% 23.50/23.49  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3394,c,3047,b)].
% 23.50/23.49  3395 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2983,c,2850,b)].
% 23.50/23.49  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_plus(C,A,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3395,c,3045,a)].
% 23.50/23.49  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3395,c,3046,b)].
% 23.50/23.49  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3395,c,3047,b)].
% 23.50/23.49  3396 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2984,c,2850,b)].
% 23.50/23.49  Derived: -c_lessequals(c_plus(A,B,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(3396,c,3045,a)].
% 23.50/23.49  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3396,c,3046,b)].
% 23.50/23.49  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3396,c,3047,b)].
% 23.50/23.49  3397 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2985,c,2850,b)].
% 23.50/23.49  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_plus(A,C,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3397,c,3045,a)].
% 23.50/23.49  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3397,c,3046,b)].
% 23.50/23.49  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3397,c,3047,b)].
% 23.50/23.49  3398 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2986,c,2850,b)].
% 23.50/23.49  Derived: -c_less(c_plus(A,B,tc_IntDef_Oint),c_plus(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,C,tc_IntDef_Oint).  [resolve(3398,c,3045,a)].
% 23.50/23.49  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3398,c,3046,b)].
% 23.50/23.49  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3398,c,3047,b)].
% 23.50/23.49  3399 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2987,c,2850,b)].
% 23.50/23.49  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_plus(C,A,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3399,c,3045,a)].
% 23.50/23.49  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3399,c,3046,b)].
% 23.50/23.49  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3399,c,3047,b)].
% 23.50/23.49  3400 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2988,c,2850,b)].
% 23.50/23.49  Derived: -c_less(c_plus(A,B,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(3400,c,3045,a)].
% 23.50/23.49  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3400,c,3046,b)].
% 23.50/23.49  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3400,c,3047,b)].
% 23.50/23.50  3401 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2989,c,2850,b)].
% 23.50/23.50  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_plus(A,C,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3401,c,3045,a)].
% 23.50/23.50  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3401,c,3046,b)].
% 23.50/23.50  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3401,c,3047,b)].
% 23.50/23.50  3402 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(2990,b,2850,b)].
% 23.50/23.50  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(3402,b,3045,a)].
% 23.50/23.50  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3402,b,3046,b)].
% 23.50/23.50  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3402,b,3047,b)].
% 23.50/23.50  3403 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2991,c,2850,b)].
% 23.50/23.50  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(A,C,tc_IntDef_Oint) | B = C.  [resolve(3403,c,3045,a)].
% 23.50/23.50  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(3403,c,3046,b)].
% 23.50/23.50  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3403,c,3047,b)].
% 23.50/23.50  3404 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2992,c,2850,b)].
% 23.50/23.50  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(C,B,tc_IntDef_Oint) | A = C.  [resolve(3404,c,3045,a)].
% 23.50/23.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(3404,c,3046,b)].
% 23.50/23.50  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3404,c,3047,b)].
% 23.50/23.50  3405 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2993,b,2850,b)].
% 23.50/23.50  Derived: c_lessequals(A,A,tc_IntDef_Oint).  [resolve(3405,b,3045,a)].
% 23.50/23.50  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3405,b,3046,b)].
% 23.50/23.50  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3405,b,3047,b)].
% 23.50/23.50  3406 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2994,b,2850,b)].
% 23.50/23.50  Derived: -c_less(A,A,tc_IntDef_Oint).  [resolve(3406,b,3045,a)].
% 23.50/23.50  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3406,b,3046,b)].
% 23.50/23.50  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3406,b,3047,b)].
% 23.50/23.50  3407 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2995,c,2850,b)].
% 23.50/23.50  Derived: -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(3407,c,3045,a)].
% 23.50/23.50  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(3407,c,3046,b)].
% 23.50/23.50  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3407,c,3047,b)].
% 23.50/23.50  3408 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2996,b,2850,b)].
% 23.50/23.50  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_IntDef_Oint) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(3408,b,3045,a)].
% 23.50/23.50  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3408,b,3046,b)].
% 23.50/23.50  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3408,b,3047,b)].
% 23.50/23.50  3409 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2997,c,2850,b)].
% 23.50/23.51  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(3409,c,3045,a)].
% 23.50/23.51  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(3409,c,3046,b)].
% 23.50/23.51  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3409,c,3047,b)].
% 23.50/23.51  3410 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(2998,c,2850,b)].
% 23.50/23.51  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(3410,c,3045,a)].
% 23.50/23.51  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3410,c,3046,b)].
% 23.50/23.51  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3410,c,3047,b)].
% 23.50/23.51  3411 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(2999,c,2850,b)].
% 23.50/23.51  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(3411,c,3045,a)].
% 23.50/23.51  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3411,c,3046,b)].
% 23.50/23.51  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3411,c,3047,b)].
% 23.50/23.51  3412 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(3000,c,2850,b)].
% 23.50/23.51  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(3412,c,3045,a)].
% 23.50/23.51  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3412,c,3046,b)].
% 23.50/23.51  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3412,c,3047,b)].
% 23.50/23.51  3413 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(3001,c,2850,b)].
% 23.50/23.51  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(3413,c,3045,a)].
% 23.50/23.51  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3413,c,3046,b)].
% 23.50/23.51  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3413,c,3047,b)].
% 23.50/23.51  3414 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__ring__strict(C).  [resolve(3002,c,2850,b)].
% 23.50/23.51  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OgreaterThanAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(3414,c,3045,a)].
% 23.50/23.51  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(3414,c,3046,b)].
% 23.50/23.51  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3414,c,3047,b)].
% 23.50/23.51  3415 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(3003,b,2850,b)].
% 23.64/23.69  Derived: c_minus(c_insert(A,c_emptyset,tc_IntDef_Oint),c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(3415,b,3045,a)].
% 23.64/23.69  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3415,b,3046,b)].
% 23.64/23.69  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3415,b,3047,b)].
% 23.64/23.69  3416 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(3004,b,2850,b)].
% 23.64/23.69  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(3416,b,3045,a)].
% 23.64/23.69  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3416,b,3046,b)].
% 23.64/23.69  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3416,b,3047,b)].
% 23.64/23.69  3417 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(3005,c,2850,b)].
% 23.64/23.69  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_plus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3417,c,3045,a)].
% 23.64/23.69  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3417,c,3046,b)].
% 23.64/23.69  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3417,c,3047,b)].
% 23.64/23.69  3418 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__ring__strict(A).  [resolve(3006,c,2850,b)].
% 23.64/23.69  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3418,c,3045,a)].
% 23.64/23.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3418,c,3046,b)].
% 23.64/23.69  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3418,c,3047,b)].
% 23.64/23.69  3419 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(3007,b,2850,b)].
% 23.64/23.69  Derived: c_plus(A,c_0,tc_IntDef_Oint) = A.  [resolve(3419,b,3045,a)].
% 23.64/23.69  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3419,b,3046,b)].
% 23.64/23.69  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3419,b,3047,b)].
% 23.64/23.69  3420 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__ring__strict(B).  [resolve(3008,b,2850,b)].
% 23.64/23.69  Derived: c_plus(c_0,A,tc_IntDef_Oint) = A.  [resolve(3420,b,3045,a)].
% 23.64/23.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3420,b,3046,b)].
% 23.64/23.69  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3420,b,3047,b)].
% 23.64/23.69  3421 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__semidom_11) # label(axiom).  [assumption].
% 23.64/23.71  3422 class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_56) # label(axiom).  [assumption].
% 23.64/23.71  3423 class_Ring__and__Field_Oordered__semidom(tc_nat) # label(clsarity_nat_43) # label(axiom).  [assumption].
% 23.64/23.71  3424 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oordered__semidom(A) # label(clsrel_Ring__and__Field_Oordered__field_60) # label(axiom).  [assumption].
% 23.64/23.71  3425 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oordered__semidom(A) # label(clsrel_Ring__and__Field_Oordered__idom_55) # label(axiom).  [assumption].
% 23.64/23.71  3426 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__semidom_15) # label(axiom).  [assumption].
% 23.64/23.71  3427 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_20) # label(axiom).  [assumption].
% 23.64/23.71  3428 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_22) # label(axiom).  [assumption].
% 23.64/23.71  3429 -class_Ring__and__Field_Oordered__semidom(A) | c_0 != c_NatArith_Oof__nat(B,A) | c_0 = B # label(cls_NatArith_Oof__nat__0__eq__iff_0) # label(axiom).  [assumption].
% 23.64/23.71  Derived: c_0 != c_NatArith_Oof__nat(A,tc_IntDef_Oint) | c_0 = A.  [resolve(3429,a,3422,a)].
% 23.64/23.71  Derived: c_0 != c_NatArith_Oof__nat(A,tc_nat) | c_0 = A.  [resolve(3429,a,3423,a)].
% 23.64/23.71  Derived: c_0 != c_NatArith_Oof__nat(A,B) | c_0 = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3429,a,3424,b)].
% 23.64/23.71  Derived: c_0 != c_NatArith_Oof__nat(A,B) | c_0 = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3429,a,3425,b)].
% 23.64/23.71  3430 -class_Ring__and__Field_Oordered__semidom(A) | c_0 = c_NatArith_Oof__nat(c_0,A) # label(cls_NatArith_Oof__nat__0__eq__iff_1) # label(axiom).  [assumption].
% 23.64/23.71  Derived: c_0 = c_NatArith_Oof__nat(c_0,tc_IntDef_Oint).  [resolve(3430,a,3422,a)].
% 23.64/23.71  Derived: c_0 = c_NatArith_Oof__nat(c_0,tc_nat).  [resolve(3430,a,3423,a)].
% 23.64/23.71  Derived: c_0 = c_NatArith_Oof__nat(c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3430,a,3424,b)].
% 23.64/23.71  Derived: c_0 = c_NatArith_Oof__nat(c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3430,a,3425,b)].
% 23.64/23.71  3431 -class_Ring__and__Field_Oordered__semidom(A) | c_lessequals(c_0,c_NatArith_Oof__nat(B,A),A) # label(cls_NatArith_Oof__nat__0__le__iff_0) # label(axiom).  [assumption].
% 23.64/23.71  Derived: c_lessequals(c_0,c_NatArith_Oof__nat(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3431,a,3422,a)].
% 23.64/23.71  Derived: c_lessequals(c_0,c_NatArith_Oof__nat(A,tc_nat),tc_nat).  [resolve(3431,a,3423,a)].
% 23.64/23.71  Derived: c_lessequals(c_0,c_NatArith_Oof__nat(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3431,a,3424,b)].
% 23.64/23.71  Derived: c_lessequals(c_0,c_NatArith_Oof__nat(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3431,a,3425,b)].
% 23.64/23.71  3432 -class_Ring__and__Field_Oordered__semidom(A) | -c_less(c_0,c_NatArith_Oof__nat(B,A),A) | c_less(c_0,B,tc_nat) # label(cls_NatArith_Oof__nat__0__less__iff_0) # label(axiom).  [assumption].
% 23.64/23.71  Derived: -c_less(c_0,c_NatArith_Oof__nat(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_0,A,tc_nat).  [resolve(3432,a,3422,a)].
% 23.64/23.71  Derived: -c_less(c_0,c_NatArith_Oof__nat(A,tc_nat),tc_nat) | c_less(c_0,A,tc_nat).  [resolve(3432,a,3423,a)].
% 23.64/23.71  Derived: -c_less(c_0,c_NatArith_Oof__nat(A,B),B) | c_less(c_0,A,tc_nat) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3432,a,3424,b)].
% 23.64/23.71  Derived: -c_less(c_0,c_NatArith_Oof__nat(A,B),B) | c_less(c_0,A,tc_nat) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3432,a,3425,b)].
% 23.64/23.71  3433 -class_Ring__and__Field_Oordered__semidom(A) | -c_less(c_0,B,tc_nat) | c_less(c_0,c_NatArith_Oof__nat(B,A),A) # label(cls_NatArith_Oof__nat__0__less__iff_1) # label(axiom).  [assumption].
% 23.64/23.71  Derived: -c_less(c_0,A,tc_nat) | c_less(c_0,c_NatArith_Oof__nat(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3433,a,3422,a)].
% 23.64/23.71  Derived: -c_less(c_0,A,tc_nat) | c_less(c_0,c_NatArith_Oof__nat(A,tc_nat),tc_nat).  [resolve(3433,a,3423,a)].
% 23.74/23.73  Derived: -c_less(c_0,A,tc_nat) | c_less(c_0,c_NatArith_Oof__nat(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3433,a,3424,b)].
% 23.74/23.73  Derived: -c_less(c_0,A,tc_nat) | c_less(c_0,c_NatArith_Oof__nat(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3433,a,3425,b)].
% 23.74/23.73  3434 -class_Ring__and__Field_Oordered__semidom(A) | c_NatArith_Oof__nat(B,A) != c_0 | B = c_0 # label(cls_NatArith_Oof__nat__eq__0__iff_0) # label(axiom).  [assumption].
% 23.74/23.73  Derived: c_NatArith_Oof__nat(A,tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(3434,a,3422,a)].
% 23.74/23.73  Derived: c_NatArith_Oof__nat(A,tc_nat) != c_0 | A = c_0.  [resolve(3434,a,3423,a)].
% 23.74/23.73  Derived: c_NatArith_Oof__nat(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3434,a,3424,b)].
% 23.74/23.73  Derived: c_NatArith_Oof__nat(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3434,a,3425,b)].
% 23.74/23.73  3435 -class_Ring__and__Field_Oordered__semidom(A) | c_NatArith_Oof__nat(c_0,A) = c_0 # label(cls_NatArith_Oof__nat__eq__0__iff_1) # label(axiom).  [assumption].
% 23.74/23.73  Derived: c_NatArith_Oof__nat(c_0,tc_IntDef_Oint) = c_0.  [resolve(3435,a,3422,a)].
% 23.74/23.73  Derived: c_NatArith_Oof__nat(c_0,tc_nat) = c_0.  [resolve(3435,a,3423,a)].
% 23.74/23.73  Derived: c_NatArith_Oof__nat(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3435,a,3424,b)].
% 23.74/23.73  Derived: c_NatArith_Oof__nat(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3435,a,3425,b)].
% 23.74/23.73  3436 -class_Ring__and__Field_Oordered__semidom(A) | c_NatArith_Oof__nat(B,A) != c_NatArith_Oof__nat(C,A) | B = C # label(cls_NatArith_Oof__nat__eq__iff_0) # label(axiom).  [assumption].
% 23.74/23.73  Derived: c_NatArith_Oof__nat(A,tc_IntDef_Oint) != c_NatArith_Oof__nat(B,tc_IntDef_Oint) | A = B.  [resolve(3436,a,3422,a)].
% 23.74/23.73  Derived: c_NatArith_Oof__nat(A,tc_nat) != c_NatArith_Oof__nat(B,tc_nat) | A = B.  [resolve(3436,a,3423,a)].
% 23.74/23.73  Derived: c_NatArith_Oof__nat(A,B) != c_NatArith_Oof__nat(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(3436,a,3424,b)].
% 23.74/23.73  Derived: c_NatArith_Oof__nat(A,B) != c_NatArith_Oof__nat(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3436,a,3425,b)].
% 23.74/23.73  3437 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(c_NatArith_Oof__nat(B,A),c_0,A) | B = c_0 # label(cls_NatArith_Oof__nat__le__0__iff_0) # label(axiom).  [assumption].
% 23.74/23.73  Derived: -c_lessequals(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | A = c_0.  [resolve(3437,a,3422,a)].
% 23.74/23.73  Derived: -c_lessequals(c_NatArith_Oof__nat(A,tc_nat),c_0,tc_nat) | A = c_0.  [resolve(3437,a,3423,a)].
% 23.74/23.73  Derived: -c_lessequals(c_NatArith_Oof__nat(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3437,a,3424,b)].
% 23.74/23.73  Derived: -c_lessequals(c_NatArith_Oof__nat(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3437,a,3425,b)].
% 23.74/23.73  3438 -class_Ring__and__Field_Oordered__semidom(A) | c_lessequals(c_NatArith_Oof__nat(c_0,A),c_0,A) # label(cls_NatArith_Oof__nat__le__0__iff_1) # label(axiom).  [assumption].
% 23.74/23.73  Derived: c_lessequals(c_NatArith_Oof__nat(c_0,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3438,a,3422,a)].
% 23.74/23.73  Derived: c_lessequals(c_NatArith_Oof__nat(c_0,tc_nat),c_0,tc_nat).  [resolve(3438,a,3423,a)].
% 23.74/23.73  Derived: c_lessequals(c_NatArith_Oof__nat(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3438,a,3424,b)].
% 23.74/23.73  Derived: c_lessequals(c_NatArith_Oof__nat(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3438,a,3425,b)].
% 23.74/23.73  3439 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(c_NatArith_Oof__nat(B,A),c_NatArith_Oof__nat(C,A),A) | c_lessequals(B,C,tc_nat) # label(cls_NatArith_Oof__nat__le__iff_0) # label(axiom).  [assumption].
% 23.74/23.73  Derived: -c_lessequals(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_nat).  [resolve(3439,a,3422,a)].
% 23.74/23.73  Derived: -c_lessequals(c_NatArith_Oof__nat(A,tc_nat),c_NatArith_Oof__nat(B,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat).  [resolve(3439,a,3423,a)].
% 23.74/23.73  Derived: -c_lessequals(c_NatArith_Oof__nat(A,B),c_NatArith_Oof__nat(C,B),B) | c_lessequals(A,C,tc_nat) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3439,a,3424,b)].
% 23.74/23.76  Derived: -c_lessequals(c_NatArith_Oof__nat(A,B),c_NatArith_Oof__nat(C,B),B) | c_lessequals(A,C,tc_nat) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3439,a,3425,b)].
% 23.74/23.76  3440 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,tc_nat) | c_lessequals(c_NatArith_Oof__nat(B,A),c_NatArith_Oof__nat(C,A),A) # label(cls_NatArith_Oof__nat__le__iff_1) # label(axiom).  [assumption].
% 23.74/23.76  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3440,a,3422,a)].
% 23.74/23.76  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_NatArith_Oof__nat(A,tc_nat),c_NatArith_Oof__nat(B,tc_nat),tc_nat).  [resolve(3440,a,3423,a)].
% 23.74/23.76  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3440,a,3424,b)].
% 23.74/23.76  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3440,a,3425,b)].
% 23.74/23.76  3441 -class_Ring__and__Field_Oordered__semidom(A) | -c_less(c_NatArith_Oof__nat(B,A),c_0,A) # label(cls_NatArith_Oof__nat__less__0__iff_0) # label(axiom).  [assumption].
% 23.74/23.76  Derived: -c_less(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3441,a,3422,a)].
% 23.74/23.76  Derived: -c_less(c_NatArith_Oof__nat(A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3441,a,3424,b)].
% 23.74/23.76  Derived: -c_less(c_NatArith_Oof__nat(A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3441,a,3425,b)].
% 23.74/23.76  3442 -class_Ring__and__Field_Oordered__semidom(A) | -c_less(c_NatArith_Oof__nat(B,A),c_NatArith_Oof__nat(C,A),A) | c_less(B,C,tc_nat) # label(cls_NatArith_Oof__nat__less__iff_0) # label(axiom).  [assumption].
% 23.74/23.76  Derived: -c_less(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_nat).  [resolve(3442,a,3422,a)].
% 23.74/23.76  Derived: -c_less(c_NatArith_Oof__nat(A,tc_nat),c_NatArith_Oof__nat(B,tc_nat),tc_nat) | c_less(A,B,tc_nat).  [resolve(3442,a,3423,a)].
% 23.74/23.76  Derived: -c_less(c_NatArith_Oof__nat(A,B),c_NatArith_Oof__nat(C,B),B) | c_less(A,C,tc_nat) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3442,a,3424,b)].
% 23.74/23.76  Derived: -c_less(c_NatArith_Oof__nat(A,B),c_NatArith_Oof__nat(C,B),B) | c_less(A,C,tc_nat) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3442,a,3425,b)].
% 23.74/23.76  3443 -class_Ring__and__Field_Oordered__semidom(A) | -c_less(B,C,tc_nat) | c_less(c_NatArith_Oof__nat(B,A),c_NatArith_Oof__nat(C,A),A) # label(cls_NatArith_Oof__nat__less__iff_1) # label(axiom).  [assumption].
% 23.74/23.76  Derived: -c_less(A,B,tc_nat) | c_less(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3443,a,3422,a)].
% 23.74/23.76  Derived: -c_less(A,B,tc_nat) | c_less(c_NatArith_Oof__nat(A,tc_nat),c_NatArith_Oof__nat(B,tc_nat),tc_nat).  [resolve(3443,a,3423,a)].
% 23.74/23.76  Derived: -c_less(A,B,tc_nat) | c_less(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3443,a,3424,b)].
% 23.74/23.76  Derived: -c_less(A,B,tc_nat) | c_less(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3443,a,3425,b)].
% 23.74/23.76  3444 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__semidom(A) | -c_less(c_1,B,A) | -c_lessequals(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | c_lessequals(C,D,tc_nat) # label(cls_Power_Opower__increasing__iff_0) # label(axiom).  [assumption].
% 23.74/23.76  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_1,A,tc_IntDef_Oint) | -c_lessequals(c_Nat_Opower(A,B,tc_IntDef_Oint),c_Nat_Opower(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,C,tc_nat).  [resolve(3444,b,3422,a)].
% 23.74/23.76  Derived: -class_Power_Orecpower(tc_nat) | -c_less(c_1,A,tc_nat) | -c_lessequals(c_Nat_Opower(A,B,tc_nat),c_Nat_Opower(A,C,tc_nat),tc_nat) | c_lessequals(B,C,tc_nat).  [resolve(3444,b,3423,a)].
% 23.74/23.76  Derived: -class_Power_Orecpower(A) | -c_less(c_1,B,A) | -c_lessequals(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | c_lessequals(C,D,tc_nat) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3444,b,3424,b)].
% 23.74/23.77  Derived: -class_Power_Orecpower(A) | -c_less(c_1,B,A) | -c_lessequals(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | c_lessequals(C,D,tc_nat) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3444,b,3425,b)].
% 23.74/23.77  3445 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__semidom(A) | -c_less(c_1,B,A) | -c_lessequals(C,D,tc_nat) | c_lessequals(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) # label(cls_Power_Opower__increasing__iff_1) # label(axiom).  [assumption].
% 23.74/23.77  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_1,A,tc_IntDef_Oint) | -c_lessequals(B,C,tc_nat) | c_lessequals(c_Nat_Opower(A,B,tc_IntDef_Oint),c_Nat_Opower(A,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3445,b,3422,a)].
% 23.74/23.77  Derived: -class_Power_Orecpower(tc_nat) | -c_less(c_1,A,tc_nat) | -c_lessequals(B,C,tc_nat) | c_lessequals(c_Nat_Opower(A,B,tc_nat),c_Nat_Opower(A,C,tc_nat),tc_nat).  [resolve(3445,b,3423,a)].
% 23.74/23.77  Derived: -class_Power_Orecpower(A) | -c_less(c_1,B,A) | -c_lessequals(C,D,tc_nat) | c_lessequals(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3445,b,3424,b)].
% 23.74/23.77  Derived: -class_Power_Orecpower(A) | -c_less(c_1,B,A) | -c_lessequals(C,D,tc_nat) | c_lessequals(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3445,b,3425,b)].
% 23.74/23.77  3446 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__semidom(A) | -c_less(c_1,B,A) | c_Nat_Opower(B,C,A) != c_Nat_Opower(B,D,A) | C = D # label(cls_Power_Opower__inject__exp_0) # label(axiom).  [assumption].
% 23.74/23.77  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_1,A,tc_IntDef_Oint) | c_Nat_Opower(A,B,tc_IntDef_Oint) != c_Nat_Opower(A,C,tc_IntDef_Oint) | B = C.  [resolve(3446,b,3422,a)].
% 23.74/23.77  Derived: -class_Power_Orecpower(tc_nat) | -c_less(c_1,A,tc_nat) | c_Nat_Opower(A,B,tc_nat) != c_Nat_Opower(A,C,tc_nat) | B = C.  [resolve(3446,b,3423,a)].
% 23.74/23.77  Derived: -class_Power_Orecpower(A) | -c_less(c_1,B,A) | c_Nat_Opower(B,C,A) != c_Nat_Opower(B,D,A) | C = D | -class_Ring__and__Field_Oordered__field(A).  [resolve(3446,b,3424,b)].
% 23.74/23.77  Derived: -class_Power_Orecpower(A) | -c_less(c_1,B,A) | c_Nat_Opower(B,C,A) != c_Nat_Opower(B,D,A) | C = D | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3446,b,3425,b)].
% 23.74/23.77  3447 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__semidom(A) | -c_less(c_1,B,A) | -c_less(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | c_less(C,D,tc_nat) # label(cls_Power_Opower__strict__increasing__iff_0) # label(axiom).  [assumption].
% 23.74/23.77  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_1,A,tc_IntDef_Oint) | -c_less(c_Nat_Opower(A,B,tc_IntDef_Oint),c_Nat_Opower(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,C,tc_nat).  [resolve(3447,b,3422,a)].
% 23.74/23.77  Derived: -class_Power_Orecpower(tc_nat) | -c_less(c_1,A,tc_nat) | -c_less(c_Nat_Opower(A,B,tc_nat),c_Nat_Opower(A,C,tc_nat),tc_nat) | c_less(B,C,tc_nat).  [resolve(3447,b,3423,a)].
% 23.74/23.77  Derived: -class_Power_Orecpower(A) | -c_less(c_1,B,A) | -c_less(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | c_less(C,D,tc_nat) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3447,b,3424,b)].
% 23.74/23.77  Derived: -class_Power_Orecpower(A) | -c_less(c_1,B,A) | -c_less(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | c_less(C,D,tc_nat) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3447,b,3425,b)].
% 23.74/23.77  3448 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__semidom(A) | -c_less(B,C,tc_nat) | -c_less(c_1,D,A) | c_less(c_Nat_Opower(D,B,A),c_Nat_Opower(D,C,A),A) # label(cls_Power_Opower__strict__increasing__iff_1) # label(axiom).  [assumption].
% 23.74/23.77  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(A,B,tc_nat) | -c_less(c_1,C,tc_IntDef_Oint) | c_less(c_Nat_Opower(C,A,tc_IntDef_Oint),c_Nat_Opower(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3448,b,3422,a)].
% 23.74/23.77  Derived: -class_Power_Orecpower(tc_nat) | -c_less(A,B,tc_nat) | -c_less(c_1,C,tc_nat) | c_less(c_Nat_Opower(C,A,tc_nat),c_Nat_Opower(C,B,tc_nat),tc_nat).  [resolve(3448,b,3423,a)].
% 23.82/23.81  Derived: -class_Power_Orecpower(A) | -c_less(B,C,tc_nat) | -c_less(c_1,D,A) | c_less(c_Nat_Opower(D,B,A),c_Nat_Opower(D,C,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3448,b,3424,b)].
% 23.82/23.81  Derived: -class_Power_Orecpower(A) | -c_less(B,C,tc_nat) | -c_less(c_1,D,A) | c_less(c_Nat_Opower(D,B,A),c_Nat_Opower(D,C,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3448,b,3425,b)].
% 23.82/23.81  3449 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(c_1,c_0,A) # label(cls_Ring__and__Field_Onot__one__le__zero_0) # label(axiom).  [assumption].
% 23.82/23.81  Derived: -c_lessequals(c_1,c_0,tc_IntDef_Oint).  [resolve(3449,a,3422,a)].
% 23.82/23.81  Derived: -c_lessequals(c_1,c_0,tc_nat).  [resolve(3449,a,3423,a)].
% 23.82/23.81  Derived: -c_lessequals(c_1,c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3449,a,3424,b)].
% 23.82/23.81  Derived: -c_lessequals(c_1,c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3449,a,3425,b)].
% 23.82/23.81  3450 -class_Ring__and__Field_Oordered__semidom(A) | -c_less(c_1,c_0,A) # label(cls_Ring__and__Field_Onot__one__less__zero_0) # label(axiom).  [assumption].
% 23.82/23.81  Derived: -c_less(c_1,c_0,tc_IntDef_Oint).  [resolve(3450,a,3422,a)].
% 23.82/23.81  Derived: -c_less(c_1,c_0,tc_nat).  [resolve(3450,a,3423,a)].
% 23.82/23.81  Derived: -c_less(c_1,c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3450,a,3424,b)].
% 23.82/23.81  Derived: -c_less(c_1,c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3450,a,3425,b)].
% 23.82/23.81  3451 -class_Ring__and__Field_Oordered__semidom(A) | c_less(c_0,c_1,A) # label(cls_Ring__and__Field_Oordered__semidom__class_Oaxioms_0) # label(axiom).  [assumption].
% 23.82/23.81  Derived: c_less(c_0,c_1,tc_IntDef_Oint).  [resolve(3451,a,3422,a)].
% 23.82/23.81  Derived: c_less(c_0,c_1,tc_nat).  [resolve(3451,a,3423,a)].
% 23.82/23.81  Derived: c_less(c_0,c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3451,a,3424,b)].
% 23.82/23.81  Derived: c_less(c_0,c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3451,a,3425,b)].
% 23.82/23.81  3452 -class_Ring__and__Field_Oordered__semidom(A) | c_lessequals(c_0,c_1,A) # label(cls_Ring__and__Field_Ozero__le__one_0) # label(axiom).  [assumption].
% 23.82/23.81  Derived: c_lessequals(c_0,c_1,tc_IntDef_Oint).  [resolve(3452,a,3422,a)].
% 23.82/23.81  Derived: c_lessequals(c_0,c_1,tc_nat).  [resolve(3452,a,3423,a)].
% 23.82/23.81  Derived: c_lessequals(c_0,c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3452,a,3424,b)].
% 23.82/23.81  Derived: c_lessequals(c_0,c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3452,a,3425,b)].
% 23.82/23.81  3453 -class_Ring__and__Field_Oordered__semidom(A) | c_lessequals(B,B,A).  [resolve(24,b,2,a)].
% 23.82/23.81  3454 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(33,a,24,b)].
% 23.82/23.81  3455 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(34,a,24,b)].
% 23.82/23.81  3456 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(35,a,24,b)].
% 23.82/23.81  3457 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(36,a,24,b)].
% 23.82/23.81  3458 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(37,a,24,b)].
% 23.82/23.81  3459 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(38,a,24,b)].
% 23.82/23.81  3460 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(39,a,24,b)].
% 23.82/23.81  3461 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(40,a,24,b)].
% 23.82/23.81  3462 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(41,a,24,b)].
% 23.82/23.81  3463 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(42,a,24,b)].
% 23.82/23.83  3464 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(43,a,58,b)].
% 23.82/23.83  3465 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(63,a,58,b)].
% 23.82/23.83  3466 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(64,a,58,b)].
% 23.82/23.83  3467 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(65,a,58,b)].
% 23.82/23.83  3468 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(66,a,58,b)].
% 23.82/23.83  3469 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(67,a,58,b)].
% 23.82/23.83  3470 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(68,a,58,b)].
% 23.82/23.83  3471 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(69,a,58,b)].
% 23.82/23.83  3472 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(70,a,58,b)].
% 23.82/23.83  3473 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(71,a,90,b)].
% 23.82/23.83  3474 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(100,a,90,b)].
% 23.82/23.83  3475 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(102,a,90,b)].
% 23.82/23.83  3476 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(108,b,90,b)].
% 23.82/23.83  3477 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(109,b,90,b)].
% 23.82/23.83  3478 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(183,a,169,b)].
% 23.82/23.83  3479 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(184,a,169,b)].
% 23.82/23.83  3480 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(221,c,203,b)].
% 23.82/23.83  3481 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(222,c,203,b)].
% 23.82/23.83  3482 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(223,a,203,b)].
% 23.82/23.83  3483 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(224,a,203,b)].
% 23.82/23.83  3484 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(226,b,203,b)].
% 23.82/23.83  3485 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(227,b,203,b)].
% 23.82/23.83  3486 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Oab__semigroup__mult(A).  [resolve(249,b,228,a)].
% 23.82/23.83  3487 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(307,a,297,b)].
% 23.82/23.83  3488 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(308,a,297,b)].
% 23.82/23.83  3489 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(346,b,336,b)].
% 23.82/23.88  3490 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(380,a,366,b)].
% 23.82/23.88  3491 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(381,a,366,b)].
% 23.82/23.88  3492 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(386,b,366,b)].
% 23.82/23.88  3493 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(389,c,366,b)].
% 23.82/23.88  3494 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(390,c,366,b)].
% 23.82/23.88  3495 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(391,b,366,b)].
% 23.82/23.88  3496 c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(598,a,594,b)].
% 23.82/23.88  3497 c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(599,a,594,b)].
% 23.82/23.88  3498 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(633,b,623,b)].
% 23.82/23.88  3499 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(637,d,623,b)].
% 23.82/23.88  3500 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(638,d,623,b)].
% 23.82/23.88  3501 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(639,d,623,b)].
% 23.82/23.88  3502 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(640,d,623,b)].
% 23.82/23.88  3503 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(641,d,623,b)].
% 23.82/23.88  3504 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(642,d,623,b)].
% 23.82/23.88  3505 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(643,d,623,b)].
% 23.82/23.88  3506 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(644,d,623,b)].
% 23.82/23.88  3507 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(645,d,623,b)].
% 23.82/23.88  3508 c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(681,b,658,b)].
% 23.82/23.88  3509 c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(682,b,658,b)].
% 23.82/23.88  3510 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(738,b,699,b)].
% 23.82/23.88  3511 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(739,b,699,b)].
% 23.82/23.88  3512 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(779,b,753,b)].
% 23.82/23.88  3513 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(780,b,753,b)].
% 23.82/23.88  3514 c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(869,a,868,b)].
% 23.82/23.88  Derived: c_in(c_0,c_IntDef_ONats,tc_nat).  [resolve(3514,b,3423,a)].
% 23.82/23.88  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3514,b,3424,b)].
% 23.82/23.88  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3514,b,3425,b)].
% 23.82/23.88  3515 c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(870,a,868,b)].
% 23.82/23.88  Derived: c_in(c_1,c_IntDef_ONats,tc_nat).  [resolve(3515,b,3423,a)].
% 23.82/23.88  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3515,b,3424,b)].
% 23.82/23.88  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3515,b,3425,b)].
% 23.91/23.89  3516 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(871,a,868,b)].
% 23.91/23.89  Derived: -c_in(A,c_IntDef_ONats,tc_nat) | -c_in(B,c_IntDef_ONats,tc_nat) | c_in(c_plus(B,A,tc_nat),c_IntDef_ONats,tc_nat).  [resolve(3516,d,3423,a)].
% 23.91/23.89  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3516,d,3424,b)].
% 23.91/23.89  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3516,d,3425,b)].
% 23.91/23.89  3517 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(872,a,868,b)].
% 23.91/23.89  Derived: -c_in(A,c_IntDef_ONats,tc_nat) | -c_in(B,c_IntDef_ONats,tc_nat) | c_in(c_times(B,A,tc_nat),c_IntDef_ONats,tc_nat).  [resolve(3517,d,3423,a)].
% 23.91/23.89  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3517,d,3424,b)].
% 23.91/23.89  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3517,d,3425,b)].
% 23.91/23.89  3518 c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(873,a,868,b)].
% 23.91/23.89  Derived: c_in(c_NatArith_Oof__nat(A,tc_nat),c_IntDef_ONats,tc_nat).  [resolve(3518,b,3423,a)].
% 23.91/23.89  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3518,b,3424,b)].
% 23.91/23.89  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3518,b,3425,b)].
% 23.91/23.89  3519 c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(874,a,868,b)].
% 23.91/23.89  Derived: c_NatArith_Oof__nat(c_Suc(A),tc_nat) = c_plus(c_NatArith_Oof__nat(A,tc_nat),c_1,tc_nat).  [resolve(3519,b,3423,a)].
% 23.91/23.89  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3519,b,3424,b)].
% 23.91/23.89  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3519,b,3425,b)].
% 23.91/23.89  3520 c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(875,a,868,b)].
% 23.91/23.89  Derived: c_NatArith_Oof__nat(c_1,tc_nat) = c_1.  [resolve(3520,b,3423,a)].
% 23.91/23.89  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3520,b,3424,b)].
% 23.91/23.89  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3520,b,3425,b)].
% 23.91/23.89  3521 c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(876,a,868,b)].
% 23.91/23.89  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),tc_nat) = c_plus(c_NatArith_Oof__nat(A,tc_nat),c_NatArith_Oof__nat(B,tc_nat),tc_nat).  [resolve(3521,b,3423,a)].
% 23.91/23.89  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3521,b,3424,b)].
% 23.91/23.89  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3521,b,3425,b)].
% 23.91/23.89  3522 c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(877,a,868,b)].
% 23.91/23.89  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),tc_nat) = c_times(c_NatArith_Oof__nat(A,tc_nat),c_NatArith_Oof__nat(B,tc_nat),tc_nat).  [resolve(3522,b,3423,a)].
% 23.91/23.89  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3522,b,3424,b)].
% 23.91/23.94  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3522,b,3425,b)].
% 23.91/23.94  3523 -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(878,a,868,b)].
% 23.91/23.94  Derived: -c_IntDef_Oiszero(c_1,tc_nat).  [resolve(3523,b,3423,a)].
% 23.91/23.94  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3523,b,3424,b)].
% 23.91/23.94  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3523,b,3425,b)].
% 23.91/23.94  3524 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1087,a,1084,b)].
% 23.91/23.94  3525 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1118,a,1115,b)].
% 23.91/23.94  3526 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1161,b,1145,b)].
% 23.91/23.94  3527 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1163,b,1145,b)].
% 23.91/23.94  3528 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1164,c,1145,b)].
% 23.91/23.94  3529 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1165,b,1145,b)].
% 23.91/23.94  3530 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1166,c,1145,b)].
% 23.91/23.94  3531 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1167,c,1145,b)].
% 23.91/23.94  3532 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1168,c,1145,b)].
% 23.91/23.94  3533 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1169,c,1145,b)].
% 23.91/23.94  3534 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1170,c,1145,b)].
% 23.91/23.94  3535 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1171,c,1145,b)].
% 23.91/23.94  3536 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1172,b,1145,b)].
% 23.91/23.94  3537 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1185,a,1182,b)].
% 23.91/23.94  3538 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1186,a,1182,b)].
% 23.91/23.94  3539 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1187,a,1182,b)].
% 23.91/23.94  3540 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1188,a,1182,b)].
% 23.91/23.94  3541 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1189,a,1182,b)].
% 23.91/23.94  3542 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1190,a,1182,b)].
% 23.91/23.94  3543 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1191,a,1182,b)].
% 23.91/23.94  3544 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1192,a,1182,b)].
% 23.91/23.96  3545 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1193,a,1182,b)].
% 23.91/23.96  3546 c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1194,a,1182,b)].
% 23.91/23.96  3547 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1195,a,1182,b)].
% 23.91/23.96  3548 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1196,a,1182,b)].
% 23.91/23.96  3549 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1197,a,1182,b)].
% 23.91/23.96  3550 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1198,a,1182,b)].
% 23.91/23.96  3551 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1199,a,1182,b)].
% 23.91/23.96  3552 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1200,a,1182,b)].
% 23.91/23.96  3553 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1201,a,1182,b)].
% 23.91/23.96  3554 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1202,a,1182,b)].
% 23.91/23.96  3555 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1203,a,1182,b)].
% 23.91/23.96  3556 c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1204,a,1182,b)].
% 23.91/23.96  3557 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1205,a,1182,b)].
% 23.91/23.96  3558 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1206,a,1182,b)].
% 23.91/23.96  3559 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1207,a,1182,b)].
% 23.91/23.96  3560 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1208,b,1182,b)].
% 23.91/23.96  3561 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1209,b,1182,b)].
% 23.91/23.96  3562 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1210,a,1182,b)].
% 23.91/23.96  3563 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1211,a,1182,b)].
% 23.91/23.96  3564 -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1212,a,1182,b)].
% 23.91/23.96  3565 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1213,a,1182,b)].
% 23.91/23.99  3566 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1214,a,1182,b)].
% 23.91/23.99  3567 -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1215,a,1182,b)].
% 23.91/23.99  3568 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1216,a,1182,b)].
% 23.91/23.99  3569 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1217,a,1182,b)].
% 23.91/23.99  3570 -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1218,a,1182,b)].
% 23.91/23.99  3571 c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1219,a,1182,b)].
% 23.91/23.99  3572 c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1220,a,1182,b)].
% 23.91/23.99  3573 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1221,a,1182,b)].
% 23.91/23.99  3574 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1222,a,1182,b)].
% 23.91/23.99  3575 -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1223,a,1182,b)].
% 23.91/23.99  3576 c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1224,a,1182,b)].
% 23.91/23.99  3577 c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1225,a,1182,b)].
% 23.91/23.99  3578 c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1226,a,1182,b)].
% 23.91/23.99  3579 c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1227,a,1182,b)].
% 23.91/23.99  3580 c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1228,a,1182,b)].
% 23.91/23.99  3581 c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1229,a,1182,b)].
% 23.91/23.99  3582 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1230,a,1182,b)].
% 23.91/23.99  3583 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1231,a,1182,b)].
% 23.91/23.99  3584 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1232,a,1182,b)].
% 23.91/23.99  3585 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1233,a,1182,b)].
% 23.91/23.99  3586 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1234,a,1182,b)].
% 23.91/23.99  3587 -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1235,a,1182,b)].
% 23.91/23.99  3588 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1236,a,1182,b)].
% 23.91/23.99  3589 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1237,a,1182,b)].
% 23.91/23.99  3590 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1238,a,1182,b)].
% 24.03/24.03  3591 -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1239,a,1182,b)].
% 24.03/24.03  3592 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1240,a,1182,b)].
% 24.03/24.03  3593 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1241,a,1182,b)].
% 24.03/24.03  3594 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1242,a,1182,b)].
% 24.03/24.03  3595 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1362,a,1359,b)].
% 24.03/24.03  3596 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1363,a,1359,b)].
% 24.03/24.03  3597 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1364,a,1359,b)].
% 24.03/24.03  3598 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1365,a,1359,b)].
% 24.03/24.03  3599 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1366,a,1359,b)].
% 24.03/24.03  3600 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1367,a,1359,b)].
% 24.03/24.03  3601 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1368,a,1359,b)].
% 24.03/24.03  3602 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1369,a,1359,b)].
% 24.03/24.03  3603 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1385,b,1359,b)].
% 24.03/24.03  3604 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1386,b,1359,b)].
% 24.03/24.03  3605 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1388,b,1359,b)].
% 24.03/24.03  3606 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1389,c,1359,b)].
% 24.03/24.03  3607 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1390,b,1359,b)].
% 24.03/24.03  3608 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1391,c,1359,b)].
% 24.03/24.03  3609 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1392,c,1359,b)].
% 24.03/24.03  3610 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1393,c,1359,b)].
% 24.03/24.03  3611 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1394,c,1359,b)].
% 24.03/24.03  3612 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1395,c,1359,b)].
% 24.03/24.03  3613 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1396,c,1359,b)].
% 24.03/24.03  3614 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1397,b,1359,b)].
% 24.03/24.03  3615 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1398,c,1359,b)].
% 24.03/24.03  3616 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1399,c,1359,b)].
% 24.03/24.03  3617 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1498,b,1409,b)].
% 24.03/24.03  3618 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1499,b,1409,b)].
% 24.03/24.06  3619 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1523,b,1409,b)].
% 24.03/24.06  3620 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1575,c,1547,b)].
% 24.03/24.06  3621 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1576,c,1547,b)].
% 24.03/24.06  3622 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1579,b,1547,b)].
% 24.03/24.06  3623 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1580,b,1547,b)].
% 24.03/24.06  3624 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1631,b,1590,b)].
% 24.03/24.06  3625 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1632,b,1590,b)].
% 24.03/24.06  3626 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1633,c,1590,b)].
% 24.03/24.06  3627 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1634,b,1590,b)].
% 24.03/24.06  3628 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1635,c,1590,b)].
% 24.03/24.06  3629 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1636,c,1590,b)].
% 24.03/24.06  3630 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1637,c,1590,b)].
% 24.03/24.06  3631 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1638,c,1590,b)].
% 24.03/24.06  3632 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1639,c,1590,b)].
% 24.03/24.06  3633 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1640,c,1590,b)].
% 24.03/24.06  3634 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1641,b,1590,b)].
% 24.03/24.06  3635 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1642,b,1590,b)].
% 24.03/24.06  3636 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1643,c,1590,b)].
% 24.03/24.06  3637 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1644,c,1590,b)].
% 24.03/24.06  3638 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1645,b,1590,b)].
% 24.03/24.06  3639 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1646,b,1590,b)].
% 24.03/24.06  3640 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1706,e,1655,b)].
% 24.03/24.06  3641 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1707,d,1655,b)].
% 24.03/24.06  3642 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1708,d,1655,b)].
% 24.03/24.06  3643 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1709,f,1655,b)].
% 24.03/24.08  3644 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1710,e,1655,b)].
% 24.03/24.08  3645 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1711,e,1655,b)].
% 24.03/24.08  3646 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1712,f,1655,b)].
% 24.03/24.08  3647 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1713,e,1655,b)].
% 24.03/24.08  3648 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1714,e,1655,b)].
% 24.03/24.08  3649 c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1715,b,1655,b)].
% 24.03/24.08  3650 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1716,f,1655,b)].
% 24.03/24.08  3651 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1717,e,1655,b)].
% 24.03/24.08  3652 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1718,e,1655,b)].
% 24.03/24.08  3653 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1719,f,1655,b)].
% 24.03/24.08  3654 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1720,e,1655,b)].
% 24.03/24.08  3655 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1721,e,1655,b)].
% 24.03/24.08  3656 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1722,d,1655,b)].
% 24.03/24.08  3657 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1723,d,1655,b)].
% 24.03/24.08  3658 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1724,e,1655,b)].
% 24.03/24.08  3659 c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1725,b,1655,b)].
% 24.03/24.08  3660 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1726,d,1655,b)].
% 24.03/24.08  3661 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1727,e,1655,b)].
% 24.03/24.08  3662 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1728,e,1655,b)].
% 24.03/24.08  3663 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1729,d,1655,b)].
% 24.15/24.10  3664 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1730,d,1655,b)].
% 24.15/24.10  3665 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1731,c,1655,b)].
% 24.15/24.10  3666 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1732,c,1655,b)].
% 24.15/24.10  3667 -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1733,d,1655,b)].
% 24.15/24.10  3668 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1734,c,1655,b)].
% 24.15/24.10  3669 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1735,c,1655,b)].
% 24.15/24.10  3670 -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1736,d,1655,b)].
% 24.15/24.10  3671 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1737,c,1655,b)].
% 24.15/24.10  3672 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(1738,c,1655,b)].
% 24.15/24.10  3673 -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1739,d,1655,b)].
% 24.15/24.10  3674 c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1740,b,1655,b)].
% 24.15/24.10  3675 c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1741,b,1655,b)].
% 24.15/24.10  3676 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1742,c,1655,b)].
% 24.15/24.10  3677 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1743,c,1655,b)].
% 24.15/24.10  3678 -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1744,d,1655,b)].
% 24.15/24.10  3679 c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1745,b,1655,b)].
% 24.15/24.10  3680 c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1746,b,1655,b)].
% 24.15/24.10  3681 c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1747,b,1655,b)].
% 24.15/24.10  3682 c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1748,b,1655,b)].
% 24.15/24.10  3683 c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1749,b,1655,b)].
% 24.15/24.10  3684 c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1750,b,1655,b)].
% 24.15/24.10  3685 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1751,c,1655,b)].
% 24.15/24.10  3686 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1752,c,1655,b)].
% 24.15/24.10  3687 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1753,c,1655,b)].
% 24.15/24.10  3688 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1754,c,1655,b)].
% 24.15/24.10  3689 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1755,c,1655,b)].
% 24.15/24.10  3690 -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1756,c,1655,b)].
% 24.15/24.12  3691 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1757,d,1655,b)].
% 24.15/24.12  3692 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1758,d,1655,b)].
% 24.15/24.12  3693 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1759,c,1655,b)].
% 24.15/24.12  3694 -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1760,d,1655,b)].
% 24.15/24.12  3695 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1761,c,1655,b)].
% 24.15/24.12  3696 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1762,c,1655,b)].
% 24.15/24.12  3697 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1763,c,1655,b)].
% 24.15/24.12  3698 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1765,c,1655,b)].
% 24.15/24.12  3699 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1766,c,1655,b)].
% 24.15/24.12  3700 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1767,c,1655,b)].
% 24.15/24.12  3701 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1768,c,1655,b)].
% 24.15/24.12  3702 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1769,c,1655,b)].
% 24.15/24.12  3703 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1770,c,1655,b)].
% 24.15/24.12  3704 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1771,c,1655,b)].
% 24.15/24.12  3705 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1772,c,1655,b)].
% 24.15/24.12  3706 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1773,b,1655,b)].
% 24.15/24.12  3707 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1786,c,1655,b)].
% 24.15/24.12  3708 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1787,c,1655,b)].
% 24.15/24.12  3709 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1788,b,1655,b)].
% 24.15/24.12  3710 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1789,b,1655,b)].
% 24.15/24.12  3711 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1790,b,1655,b)].
% 24.15/24.12  3712 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1796,b,1655,b)].
% 24.15/24.12  3713 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1797,b,1655,b)].
% 24.15/24.12  3714 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1798,b,1655,b)].
% 24.15/24.12  3715 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1799,b,1655,b)].
% 24.15/24.12  3716 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1800,c,1655,b)].
% 24.15/24.12  3717 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1801,b,1655,b)].
% 24.15/24.19  3718 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1802,c,1655,b)].
% 24.15/24.19  3719 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1803,c,1655,b)].
% 24.15/24.19  3720 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1804,c,1655,b)].
% 24.15/24.19  3721 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1805,c,1655,b)].
% 24.15/24.19  3722 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1806,c,1655,b)].
% 24.15/24.19  3723 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(1807,c,1655,b)].
% 24.15/24.19  3724 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1808,b,1655,b)].
% 24.15/24.19  3725 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1809,b,1655,b)].
% 24.15/24.19  3726 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1810,c,1655,b)].
% 24.15/24.19  3727 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1811,c,1655,b)].
% 24.15/24.19  3728 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1812,b,1655,b)].
% 24.15/24.19  3729 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__semidom(B).  [resolve(1813,b,1655,b)].
% 24.15/24.19  3730 class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A).  [resolve(1955,b,1877,b)].
% 24.15/24.19  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3730,b,3424,b)].
% 24.15/24.19  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3730,b,3425,b)].
% 24.15/24.19  3731 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2414,a,2426,b)].
% 24.15/24.19  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(3731,c,3423,a)].
% 24.15/24.19  3732 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2429,a,2426,b)].
% 24.15/24.19  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,tc_nat),tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(3732,c,3423,a)].
% 24.15/24.19  3733 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2430,a,2426,b)].
% 24.15/24.19  Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,A,tc_nat) | c_in(A,c_SetInterval_OatLeastAtMost(C,B,tc_nat),tc_nat).  [resolve(3733,d,3423,a)].
% 24.15/24.19  3734 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2431,a,2426,b)].
% 24.15/24.19  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(3734,c,3423,a)].
% 24.15/24.19  3735 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2432,a,2426,b)].
% 24.15/24.19  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,tc_nat),tc_nat) | c_less(A,C,tc_nat).  [resolve(3735,c,3423,a)].
% 24.15/24.19  3736 -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2433,a,2426,b)].
% 24.15/24.19  Derived: -c_less(A,B,tc_nat) | -c_lessequals(C,A,tc_nat) | c_in(A,c_SetInterval_OatLeastLessThan(C,B,tc_nat),tc_nat).  [resolve(3736,d,3423,a)].
% 24.47/24.44  3737 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2434,a,2426,b)].
% 24.47/24.44  Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(3737,c,3423,a)].
% 24.47/24.44  3738 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2435,a,2426,b)].
% 24.47/24.44  Derived: -c_lessequals(A,B,tc_nat) | c_in(B,c_SetInterval_OatLeast(A,tc_nat),tc_nat).  [resolve(3738,c,3423,a)].
% 24.47/24.44  3739 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2436,a,2426,b)].
% 24.47/24.44  Derived: -c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat).  [resolve(3739,c,3423,a)].
% 24.47/24.44  3740 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2437,a,2426,b)].
% 24.47/24.44  Derived: -c_lessequals(A,B,tc_nat) | c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat).  [resolve(3740,c,3423,a)].
% 24.47/24.44  3741 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2438,a,2426,b)].
% 24.47/24.44  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,tc_nat),tc_nat) | c_less(B,A,tc_nat).  [resolve(3741,c,3423,a)].
% 24.47/24.44  3742 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2439,a,2426,b)].
% 24.47/24.44  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,tc_nat),tc_nat) | c_lessequals(A,C,tc_nat).  [resolve(3742,c,3423,a)].
% 24.47/24.44  3743 -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2440,a,2426,b)].
% 24.47/24.44  Derived: -c_less(A,B,tc_nat) | -c_lessequals(B,C,tc_nat) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,C,tc_nat),tc_nat).  [resolve(3743,d,3423,a)].
% 24.47/24.44  3744 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2441,a,2426,b)].
% 24.47/24.44  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,tc_nat),tc_nat) | c_less(B,A,tc_nat).  [resolve(3744,c,3423,a)].
% 24.47/24.44  3745 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__semidom(D).  [resolve(2442,a,2426,b)].
% 24.47/24.44  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,tc_nat),tc_nat) | c_less(A,C,tc_nat).  [resolve(3745,c,3423,a)].
% 24.47/24.44  3746 -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2443,a,2426,b)].
% 24.47/24.44  Derived: -c_less(A,B,tc_nat) | -c_less(C,A,tc_nat) | c_in(A,c_SetInterval_OgreaterThanLessThan(C,B,tc_nat),tc_nat).  [resolve(3746,d,3423,a)].
% 24.47/24.44  3747 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2444,a,2426,b)].
% 24.47/24.44  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_nat),tc_nat) | c_less(B,A,tc_nat).  [resolve(3747,c,3423,a)].
% 24.47/24.44  3748 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2445,a,2426,b)].
% 24.47/24.44  Derived: -c_less(A,B,tc_nat) | c_in(B,c_SetInterval_OgreaterThan(A,tc_nat),tc_nat).  [resolve(3748,c,3423,a)].
% 24.47/24.44  3749 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2446,a,2426,b)].
% 24.47/24.44  Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat) | c_less(A,B,tc_nat).  [resolve(3749,c,3423,a)].
% 24.47/24.44  3750 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C).  [resolve(2447,a,2426,b)].
% 24.47/24.44  Derived: -c_less(A,B,tc_nat) | c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat).  [resolve(3750,c,3423,a)].
% 24.47/24.44  3751 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Oidom_17) # label(axiom).  [assumption].
% 24.47/24.44  3752 class_Ring__and__Field_Oidom(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_57) # label(axiom).  [assumption].
% 24.47/24.44  3753 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Oidom(A) # label(clsrel_Ring__and__Field_Ofield_31) # label(axiom).  [assumption].
% 24.47/24.49  3754 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oidom_21) # label(axiom).  [assumption].
% 24.47/24.49  3755 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oidom_26) # label(axiom).  [assumption].
% 24.47/24.49  3756 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oidom_28) # label(axiom).  [assumption].
% 24.47/24.49  3757 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Oidom_4) # label(axiom).  [assumption].
% 24.47/24.49  3758 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oidom(A) # label(clsrel_Ring__and__Field_Oordered__field_2) # label(axiom).  [assumption].
% 24.47/24.49  3759 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oidom(A) # label(clsrel_Ring__and__Field_Oordered__idom_57) # label(axiom).  [assumption].
% 24.47/24.49  3760 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(43,a,55,b)].
% 24.47/24.49  3761 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(63,a,55,b)].
% 24.47/24.49  3762 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(64,a,55,b)].
% 24.47/24.49  3763 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(65,a,55,b)].
% 24.47/24.49  3764 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(66,a,55,b)].
% 24.47/24.49  3765 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(67,a,55,b)].
% 24.47/24.49  3766 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(68,a,55,b)].
% 24.47/24.49  3767 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(69,a,55,b)].
% 24.47/24.49  3768 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(70,a,55,b)].
% 24.47/24.49  3769 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(71,a,84,b)].
% 24.47/24.49  3770 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(100,a,84,b)].
% 24.47/24.49  3771 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oidom(A).  [resolve(102,a,84,b)].
% 24.47/24.49  3772 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(108,b,84,b)].
% 24.47/24.49  3773 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(109,b,84,b)].
% 24.47/24.49  3774 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(183,a,163,b)].
% 24.47/24.49  3775 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(184,a,163,b)].
% 24.47/24.49  3776 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(221,c,197,b)].
% 24.47/24.49  3777 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(222,c,197,b)].
% 24.47/24.49  3778 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(223,a,197,b)].
% 24.56/24.51  3779 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(224,a,197,b)].
% 24.56/24.51  3780 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(226,b,197,b)].
% 24.56/24.51  3781 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(227,b,197,b)].
% 24.56/24.51  3782 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oidom(C).  [resolve(307,a,291,b)].
% 24.56/24.51  3783 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oidom(C).  [resolve(308,a,291,b)].
% 24.56/24.51  3784 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(346,b,330,b)].
% 24.56/24.51  3785 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oidom(B).  [resolve(380,a,360,b)].
% 24.56/24.51  3786 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oidom(B).  [resolve(381,a,360,b)].
% 24.56/24.51  3787 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(386,b,360,b)].
% 24.56/24.51  3788 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oidom(C).  [resolve(389,c,360,b)].
% 24.56/24.51  3789 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oidom(C).  [resolve(390,c,360,b)].
% 24.56/24.51  3790 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(391,b,360,b)].
% 24.56/24.51  3791 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(410,a,399,b)].
% 24.56/24.51  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(3791,b,3753,b)].
% 24.56/24.51  3792 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(413,b,399,b)].
% 24.56/24.51  3793 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(414,b,399,b)].
% 24.56/24.51  3794 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oidom(B).  [resolve(415,a,399,b)].
% 24.56/24.51  3795 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oidom(B).  [resolve(416,a,399,b)].
% 24.56/24.51  3796 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(417,a,399,b)].
% 24.56/24.51  3797 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oidom(A).  [resolve(421,b,399,b)].
% 24.56/24.51  3798 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(428,c,399,b)].
% 24.56/24.51  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3798,c,3753,b)].
% 24.56/24.51  3799 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(429,c,399,b)].
% 24.56/24.51  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3799,c,3753,b)].
% 24.56/24.51  3800 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(433,b,399,b)].
% 24.56/24.51  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(3800,b,3753,b)].
% 24.56/24.51  3801 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(434,b,399,b)].
% 24.56/24.51  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(3801,b,3753,b)].
% 24.56/24.51  3802 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oidom(B).  [resolve(439,b,399,b)].
% 24.56/24.51  3803 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oidom(B).  [resolve(440,b,399,b)].
% 24.56/24.51  3804 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(441,b,399,b)].
% 24.56/24.51  3805 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oidom(C).  [resolve(442,c,399,b)].
% 24.56/24.54  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ofield(C).  [resolve(3805,c,3753,b)].
% 24.56/24.54  3806 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oidom(C).  [resolve(443,c,399,b)].
% 24.56/24.54  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ofield(C).  [resolve(3806,c,3753,b)].
% 24.56/24.54  3807 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(444,b,399,b)].
% 24.56/24.54  3808 class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oidom(A).  [resolve(511,b,501,b)].
% 24.56/24.54  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Ofield(A).  [resolve(3808,b,3753,b)].
% 24.56/24.54  3809 c_times(c_1,A,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(598,a,591,b)].
% 24.56/24.54  3810 c_times(A,c_1,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(599,a,591,b)].
% 24.56/24.54  3811 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oidom(A).  [resolve(633,b,620,b)].
% 24.56/24.54  3812 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(637,d,620,b)].
% 24.56/24.54  3813 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(638,d,620,b)].
% 24.56/24.54  3814 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(639,d,620,b)].
% 24.56/24.54  3815 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(640,d,620,b)].
% 24.56/24.54  3816 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(641,d,620,b)].
% 24.56/24.54  3817 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(642,d,620,b)].
% 24.56/24.54  3818 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(643,d,620,b)].
% 24.56/24.54  3819 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(644,d,620,b)].
% 24.56/24.54  3820 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(645,d,620,b)].
% 24.56/24.54  3821 c_times(c_1,A,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(681,b,655,b)].
% 24.56/24.54  3822 c_times(A,c_1,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(682,b,655,b)].
% 24.56/24.54  3823 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(738,b,696,b)].
% 24.56/24.54  3824 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(739,b,696,b)].
% 24.56/24.54  3825 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(830,c,789,b)].
% 24.56/24.54  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3825,c,3753,b)].
% 24.56/24.54  3826 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(831,c,789,b)].
% 24.56/24.54  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3826,c,3753,b)].
% 24.56/24.54  3827 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oidom(B).  [resolve(832,b,789,b)].
% 24.56/24.54  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3827,b,3753,b)].
% 24.56/24.55  3828 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oidom(B).  [resolve(833,b,789,b)].
% 24.56/24.55  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Ofield(B).  [resolve(3828,b,3753,b)].
% 24.56/24.55  3829 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(834,b,789,b)].
% 24.56/24.55  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3829,b,3753,b)].
% 24.56/24.55  3830 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(837,d,789,b)].
% 24.56/24.55  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3830,d,3753,b)].
% 24.56/24.55  3831 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(838,d,789,b)].
% 24.56/24.55  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3831,d,3753,b)].
% 24.56/24.55  3832 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(839,d,789,b)].
% 24.56/24.55  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3832,d,3753,b)].
% 24.56/24.55  3833 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(840,d,789,b)].
% 24.56/24.55  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3833,d,3753,b)].
% 24.56/24.55  3834 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(841,d,789,b)].
% 24.56/24.55  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3834,d,3753,b)].
% 24.56/24.55  3835 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(842,d,789,b)].
% 24.56/24.55  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3835,d,3753,b)].
% 24.56/24.55  3836 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(843,d,789,b)].
% 24.56/24.55  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3836,d,3753,b)].
% 24.56/24.55  3837 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(844,d,789,b)].
% 24.56/24.55  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3837,d,3753,b)].
% 24.56/24.55  3838 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(845,d,789,b)].
% 24.56/24.55  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3838,d,3753,b)].
% 24.56/24.55  3839 c_times(c_1,A,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(846,b,789,b)].
% 24.56/24.55  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(3839,b,3753,b)].
% 24.56/24.55  3840 c_times(A,c_1,B) = A | -class_Ring__and__Field_Oidom(B).  [resolve(847,b,789,b)].
% 24.56/24.57  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(3840,b,3753,b)].
% 24.56/24.57  3841 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oidom(A).  [resolve(848,b,789,b)].
% 24.56/24.57  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ofield(A).  [resolve(3841,b,3753,b)].
% 24.56/24.57  3842 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oidom(B).  [resolve(850,b,789,b)].
% 24.56/24.57  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(3842,b,3753,b)].
% 24.56/24.57  3843 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oidom(B).  [resolve(851,b,789,b)].
% 24.56/24.57  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(3843,b,3753,b)].
% 24.56/24.57  3844 c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Oidom(A).  [resolve(869,a,865,b)].
% 24.56/24.57  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3844,b,3753,b)].
% 24.56/24.57  3845 c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Oidom(A).  [resolve(870,a,865,b)].
% 24.56/24.57  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3845,b,3753,b)].
% 24.56/24.57  3846 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oidom(B).  [resolve(871,a,865,b)].
% 24.56/24.57  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3846,d,3753,b)].
% 24.56/24.57  3847 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oidom(B).  [resolve(872,a,865,b)].
% 24.56/24.57  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3847,d,3753,b)].
% 24.56/24.57  3848 c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oidom(B).  [resolve(873,a,865,b)].
% 24.56/24.57  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3848,b,3753,b)].
% 24.56/24.57  3849 c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Oidom(B).  [resolve(874,a,865,b)].
% 24.56/24.57  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3849,b,3753,b)].
% 24.56/24.57  3850 c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Oidom(A).  [resolve(875,a,865,b)].
% 24.56/24.57  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Ofield(A).  [resolve(3850,b,3753,b)].
% 24.56/24.57  3851 c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(876,a,865,b)].
% 24.56/24.57  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3851,b,3753,b)].
% 24.56/24.57  3852 c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(877,a,865,b)].
% 24.56/24.57  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3852,b,3753,b)].
% 24.56/24.57  3853 -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(878,a,865,b)].
% 24.56/24.57  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3853,b,3753,b)].
% 24.56/24.57  3854 c_in(c_0,c_IntDef_OInts,A) | -class_Ring__and__Field_Oidom(A).  [resolve(945,a,942,b)].
% 24.56/24.57  Derived: c_in(c_0,c_IntDef_OInts,tc_IntDef_Oint).  [resolve(3854,b,3752,a)].
% 24.56/24.57  Derived: c_in(c_0,c_IntDef_OInts,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3854,b,3753,b)].
% 24.56/24.57  3855 c_in(c_1,c_IntDef_OInts,A) | -class_Ring__and__Field_Oidom(A).  [resolve(946,a,942,b)].
% 24.56/24.57  Derived: c_in(c_1,c_IntDef_OInts,tc_IntDef_Oint).  [resolve(3855,b,3752,a)].
% 24.56/24.57  Derived: c_in(c_1,c_IntDef_OInts,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3855,b,3753,b)].
% 24.56/24.57  3856 -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_plus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oidom(B).  [resolve(947,a,942,b)].
% 24.56/24.57  Derived: -c_in(A,c_IntDef_OInts,tc_IntDef_Oint) | -c_in(B,c_IntDef_OInts,tc_IntDef_Oint) | c_in(c_plus(B,A,tc_IntDef_Oint),c_IntDef_OInts,tc_IntDef_Oint).  [resolve(3856,d,3752,a)].
% 24.56/24.58  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_plus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3856,d,3753,b)].
% 24.56/24.58  3857 -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_minus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oidom(B).  [resolve(948,a,942,b)].
% 24.56/24.58  Derived: -c_in(A,c_IntDef_OInts,tc_IntDef_Oint) | -c_in(B,c_IntDef_OInts,tc_IntDef_Oint) | c_in(c_minus(B,A,tc_IntDef_Oint),c_IntDef_OInts,tc_IntDef_Oint).  [resolve(3857,d,3752,a)].
% 24.56/24.58  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_minus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3857,d,3753,b)].
% 24.56/24.58  3858 -c_in(A,c_IntDef_OInts,B) | c_in(c_uminus(A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oidom(B).  [resolve(949,a,942,b)].
% 24.56/24.58  Derived: -c_in(A,c_IntDef_OInts,tc_IntDef_Oint) | c_in(c_uminus(A,tc_IntDef_Oint),c_IntDef_OInts,tc_IntDef_Oint).  [resolve(3858,c,3752,a)].
% 24.56/24.58  Derived: -c_in(A,c_IntDef_OInts,B) | c_in(c_uminus(A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3858,c,3753,b)].
% 24.56/24.58  3859 -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_times(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oidom(B).  [resolve(950,a,942,b)].
% 24.56/24.58  Derived: -c_in(A,c_IntDef_OInts,tc_IntDef_Oint) | -c_in(B,c_IntDef_OInts,tc_IntDef_Oint) | c_in(c_times(B,A,tc_IntDef_Oint),c_IntDef_OInts,tc_IntDef_Oint).  [resolve(3859,d,3752,a)].
% 24.56/24.58  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_times(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3859,d,3753,b)].
% 24.56/24.58  3860 c_IntDef_Oof__int(c_1,A) = c_1 | -class_Ring__and__Field_Oidom(A).  [resolve(951,a,942,b)].
% 24.56/24.58  Derived: c_IntDef_Oof__int(c_1,tc_IntDef_Oint) = c_1.  [resolve(3860,b,3752,a)].
% 24.56/24.58  Derived: c_IntDef_Oof__int(c_1,A) = c_1 | -class_Ring__and__Field_Ofield(A).  [resolve(3860,b,3753,b)].
% 24.56/24.58  3861 c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),C) = c_plus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(952,a,942,b)].
% 24.56/24.58  Derived: c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_IntDef_Oof__int(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3861,b,3752,a)].
% 24.56/24.58  Derived: c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),C) = c_plus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3861,b,3753,b)].
% 24.56/24.58  3862 c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),C) = c_minus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(953,a,942,b)].
% 24.56/24.58  Derived: c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_IntDef_Oof__int(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3862,b,3752,a)].
% 24.56/24.58  Derived: c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),C) = c_minus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3862,b,3753,b)].
% 24.56/24.58  3863 c_IntDef_Oof__int(c_IntDef_Oint(A),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Oidom(B).  [resolve(954,a,942,b)].
% 24.56/24.58  Derived: c_IntDef_Oof__int(c_IntDef_Oint(A),tc_IntDef_Oint) = c_NatArith_Oof__nat(A,tc_IntDef_Oint).  [resolve(3863,b,3752,a)].
% 24.56/24.58  Derived: c_IntDef_Oof__int(c_IntDef_Oint(A),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3863,b,3753,b)].
% 24.56/24.58  3864 c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),B) = c_uminus(c_IntDef_Oof__int(A,B),B) | -class_Ring__and__Field_Oidom(B).  [resolve(955,a,942,b)].
% 24.56/24.58  Derived: c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_IntDef_Oof__int(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3864,b,3752,a)].
% 24.56/24.58  Derived: c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),B) = c_uminus(c_IntDef_Oof__int(A,B),B) | -class_Ring__and__Field_Ofield(B).  [resolve(3864,b,3753,b)].
% 24.56/24.58  3865 c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),C) = c_times(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(956,a,942,b)].
% 24.56/24.59  Derived: c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_times(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_IntDef_Oof__int(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3865,b,3752,a)].
% 24.56/24.59  Derived: c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),C) = c_times(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3865,b,3753,b)].
% 24.56/24.59  3866 c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Oidom(B).  [resolve(957,a,942,b)].
% 24.56/24.59  Derived: c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),tc_IntDef_Oint) = c_NatArith_Oof__nat(A,tc_IntDef_Oint).  [resolve(3866,b,3752,a)].
% 24.56/24.59  Derived: c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3866,b,3753,b)].
% 24.56/24.59  3867 -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),C) = c_minus(c_NatArith_Oof__nat(B,C),c_NatArith_Oof__nat(A,C),C) | -class_Ring__and__Field_Oidom(C).  [resolve(958,a,942,b)].
% 24.56/24.59  Derived: -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),tc_IntDef_Oint) = c_minus(c_NatArith_Oof__nat(B,tc_IntDef_Oint),c_NatArith_Oof__nat(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3867,c,3752,a)].
% 24.56/24.59  Derived: -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),C) = c_minus(c_NatArith_Oof__nat(B,C),c_NatArith_Oof__nat(A,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3867,c,3753,b)].
% 24.56/24.59  3868 -class_Power_Orecpower(A) | c_Nat_Opower(c_uminus(B,A),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) = c_Nat_Opower(B,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) | -class_Ring__and__Field_Oidom(A).  [resolve(959,b,942,b)].
% 24.56/24.59  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_Nat_Opower(c_uminus(A,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),B,tc_nat),tc_IntDef_Oint) = c_Nat_Opower(A,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),B,tc_nat),tc_IntDef_Oint).  [resolve(3868,c,3752,a)].
% 24.56/24.59  Derived: -class_Power_Orecpower(A) | c_Nat_Opower(c_uminus(B,A),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) = c_Nat_Opower(B,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3868,c,3753,b)].
% 24.56/24.59  3869 -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_1 | -class_Ring__and__Field_Oidom(A).  [resolve(960,b,942,b)].
% 24.56/24.59  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_Parity_Oeven(A,tc_nat) | c_Nat_Opower(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) = c_1.  [resolve(3869,d,3752,a)].
% 24.56/24.59  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_1 | -class_Ring__and__Field_Ofield(A).  [resolve(3869,d,3753,b)].
% 24.56/24.59  3870 -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_uminus(c_1,A) | -class_Ring__and__Field_Oidom(A).  [resolve(961,b,942,b)].
% 24.56/24.59  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_Parity_Oeven(A,tc_nat) | c_Nat_Opower(c_uminus(c_1,tc_IntDef_Oint),A,tc_IntDef_Oint) = c_uminus(c_1,tc_IntDef_Oint).  [resolve(3870,d,3752,a)].
% 24.56/24.59  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_uminus(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3870,d,3753,b)].
% 24.56/24.59  3871 -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_Nat_Opower(C,B,A) | -class_Ring__and__Field_Oidom(A).  [resolve(962,b,942,b)].
% 24.56/24.59  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_Parity_Oeven(A,tc_nat) | c_Nat_Opower(c_uminus(B,tc_IntDef_Oint),A,tc_IntDef_Oint) = c_Nat_Opower(B,A,tc_IntDef_Oint).  [resolve(3871,d,3752,a)].
% 25.05/25.01  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_Nat_Opower(C,B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3871,d,3753,b)].
% 25.05/25.01  3872 -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_uminus(c_Nat_Opower(C,B,A),A) | -class_Ring__and__Field_Oidom(A).  [resolve(963,b,942,b)].
% 25.05/25.01  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_Parity_Oeven(A,tc_nat) | c_Nat_Opower(c_uminus(B,tc_IntDef_Oint),A,tc_IntDef_Oint) = c_uminus(c_Nat_Opower(B,A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3872,d,3752,a)].
% 25.05/25.01  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_uminus(c_Nat_Opower(C,B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3872,d,3753,b)].
% 25.05/25.01  3873 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(1067,b,942,b)].
% 25.05/25.01  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(3873,b,3753,b)].
% 25.05/25.01  3874 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A).  [resolve(1068,b,942,b)].
% 25.05/25.01  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(3874,b,3753,b)].
% 25.05/25.01  3875 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__idom_17) # label(axiom).  [assumption].
% 25.05/25.01  3876 class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_58) # label(axiom).  [assumption].
% 25.05/25.01  3877 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oordered__idom(A) # label(clsrel_Ring__and__Field_Oordered__field_34) # label(axiom).  [assumption].
% 25.05/25.01  3878 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__idom_21) # label(axiom).  [assumption].
% 25.05/25.01  3879 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_26) # label(axiom).  [assumption].
% 25.05/25.01  3880 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_28) # label(axiom).  [assumption].
% 25.05/25.01  3881 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_4) # label(axiom).  [assumption].
% 25.05/25.01  3882 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_54) # label(axiom).  [assumption].
% 25.05/25.01  3883 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,A),A) = c_1 # label(cls_IntArith_Oabs__minus__one_0) # label(axiom).  [assumption].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint) = c_1.  [resolve(3883,b,3876,a)].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(A) | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,A),A) = c_1 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3883,b,3877,b)].
% 25.05/25.01  3884 -class_Numeral_Onumber__ring(A) | -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,A),B,A),A) = c_1 # label(cls_IntArith_Oabs__power__minus__one_0) # label(axiom).  [assumption].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -class_Power_Orecpower(tc_IntDef_Oint) | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),A,tc_IntDef_Oint),tc_IntDef_Oint) = c_1.  [resolve(3884,c,3876,a)].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(A) | -class_Power_Orecpower(A) | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,A),B,A),A) = c_1 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3884,c,3877,b)].
% 25.05/25.01  3885 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_0,c_Numeral_Onumber__of(B,A),A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(B)),A),A) # label(cls_IntArith_Oarith__special__10_0) # label(axiom).  [assumption].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_less(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(A)),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3885,b,3876,a)].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(A) | -c_less(c_0,c_Numeral_Onumber__of(B,A),A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(B)),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3885,b,3877,b)].
% 25.05/25.01  3886 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(B)),A),A) | c_less(c_0,c_Numeral_Onumber__of(B,A),A) # label(cls_IntArith_Oarith__special__10_1) # label(axiom).  [assumption].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(A)),tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3886,b,3876,a)].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(B)),A),A) | c_less(c_0,c_Numeral_Onumber__of(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3886,b,3877,b)].
% 25.05/25.01  3887 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_1,c_Numeral_Onumber__of(B,A),A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(B)),A),A) # label(cls_IntArith_Oarith__special__11_0) # label(axiom).  [assumption].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_less(c_1,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(A)),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3887,b,3876,a)].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(A) | -c_less(c_1,c_Numeral_Onumber__of(B,A),A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(B)),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3887,b,3877,b)].
% 25.05/25.01  3888 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(B)),A),A) | c_less(c_1,c_Numeral_Onumber__of(B,A),A) # label(cls_IntArith_Oarith__special__11_1) # label(axiom).  [assumption].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(A)),tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_1,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3888,b,3876,a)].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(B)),A),A) | c_less(c_1,c_Numeral_Onumber__of(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3888,b,3877,b)].
% 25.05/25.01  3889 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OPls)),A),A) # label(cls_IntArith_Oarith__special__12_0) # label(axiom).  [assumption].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(c_Numeral_OPls)),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3889,b,3876,a)].
% 25.05/25.01  Derived: -class_Numeral_Onumber__ring(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OPls)),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3889,b,3877,b)].
% 25.07/25.02  3890 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OPls)),A),A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) # label(cls_IntArith_Oarith__special__12_1) # label(axiom).  [assumption].
% 25.07/25.02  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(c_Numeral_OPls)),tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3890,b,3876,a)].
% 25.07/25.02  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OPls)),A),A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3890,b,3877,b)].
% 25.07/25.02  3891 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_Numeral_Onumber__of(B,A),c_1,A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),A),A) # label(cls_IntArith_Oarith__special__13_0) # label(axiom).  [assumption].
% 25.07/25.02  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3891,b,3876,a)].
% 25.07/25.02  Derived: -class_Numeral_Onumber__ring(A) | -c_less(c_Numeral_Onumber__of(B,A),c_1,A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3891,b,3877,b)].
% 25.07/25.02  3892 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),A),A) | c_less(c_Numeral_Onumber__of(B,A),c_1,A) # label(cls_IntArith_Oarith__special__13_1) # label(axiom).  [assumption].
% 25.07/25.02  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(3892,b,3876,a)].
% 25.07/25.02  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),A),A) | c_less(c_Numeral_Onumber__of(B,A),c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3892,b,3877,b)].
% 25.07/25.02  3893 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OPls)),A),A) | -c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) # label(cls_IntArith_Oarith__special__14_0) # label(axiom).  [assumption].
% 25.07/25.02  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(c_Numeral_OPls)),tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3893,b,3876,a)].
% 25.07/25.02  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OPls)),A),A) | -c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3893,b,3877,b)].
% 25.07/25.02  3894 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OPls)),A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) # label(cls_IntArith_Oarith__special__14_1) # label(axiom).  [assumption].
% 25.07/25.03  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(c_Numeral_OPls)),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3894,b,3876,a)].
% 25.07/25.03  Derived: -class_Numeral_Onumber__ring(A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OPls)),A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3894,b,3877,b)].
% 25.07/25.03  3895 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),A),A) | -c_lessequals(c_1,c_Numeral_Onumber__of(B,A),A) # label(cls_IntArith_Oarith__special__15_0) # label(axiom).  [assumption].
% 25.07/25.03  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_1,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3895,b,3876,a)].
% 25.07/25.03  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),A),A) | -c_lessequals(c_1,c_Numeral_Onumber__of(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3895,b,3877,b)].
% 25.07/25.03  3896 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),A),A) | c_lessequals(c_1,c_Numeral_Onumber__of(B,A),A) # label(cls_IntArith_Oarith__special__15_1) # label(axiom).  [assumption].
% 25.07/25.03  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_1,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3896,b,3876,a)].
% 25.07/25.03  Derived: -class_Numeral_Onumber__ring(A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1))),A),A) | c_lessequals(c_1,c_Numeral_Onumber__of(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3896,b,3877,b)].
% 25.07/25.03  3897 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(B)),A),A) | -c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) # label(cls_IntArith_Oarith__special__16_0) # label(axiom).  [assumption].
% 25.07/25.03  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(A)),tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3897,b,3876,a)].
% 25.07/25.03  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(B)),A),A) | -c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3897,b,3877,b)].
% 25.07/25.03  3898 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(B)),A),A) | c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) # label(cls_IntArith_Oarith__special__16_1) # label(axiom).  [assumption].
% 25.07/25.03  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(A)),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3898,b,3876,a)].
% 25.07/25.03  Derived: -class_Numeral_Onumber__ring(A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(B)),A),A) | c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3898,b,3877,b)].
% 25.08/25.04  3899 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(B)),A),A) | -c_lessequals(c_Numeral_Onumber__of(B,A),c_1,A) # label(cls_IntArith_Oarith__special__17_0) # label(axiom).  [assumption].
% 25.08/25.04  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(A)),tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(3899,b,3876,a)].
% 25.08/25.04  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(B)),A),A) | -c_lessequals(c_Numeral_Onumber__of(B,A),c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3899,b,3877,b)].
% 25.08/25.04  3900 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(B)),A),A) | c_lessequals(c_Numeral_Onumber__of(B,A),c_1,A) # label(cls_IntArith_Oarith__special__17_1) # label(axiom).  [assumption].
% 25.08/25.04  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(A)),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(3900,b,3876,a)].
% 25.08/25.04  Derived: -class_Numeral_Onumber__ring(A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obin__minus(B)),A),A) | c_lessequals(c_Numeral_Onumber__of(B,A),c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3900,b,3877,b)].
% 25.08/25.04  3901 -class_Ring__and__Field_Oordered__idom(A) | c_0 != c_IntDef_Oof__int(B,A) | c_0 = B # label(cls_IntDef_Oof__int__0__eq__iff_0) # label(axiom).  [assumption].
% 25.08/25.04  Derived: c_0 != c_IntDef_Oof__int(A,tc_IntDef_Oint) | c_0 = A.  [resolve(3901,a,3876,a)].
% 25.08/25.04  Derived: c_0 != c_IntDef_Oof__int(A,B) | c_0 = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(3901,a,3877,b)].
% 25.08/25.04  3902 -class_Ring__and__Field_Oordered__idom(A) | c_0 = c_IntDef_Oof__int(c_0,A) # label(cls_IntDef_Oof__int__0__eq__iff_1) # label(axiom).  [assumption].
% 25.08/25.04  Derived: c_0 = c_IntDef_Oof__int(c_0,tc_IntDef_Oint).  [resolve(3902,a,3876,a)].
% 25.08/25.04  Derived: c_0 = c_IntDef_Oof__int(c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3902,a,3877,b)].
% 25.08/25.04  3903 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_0,c_IntDef_Oof__int(B,A),A) | c_lessequals(c_0,B,tc_IntDef_Oint) # label(cls_IntDef_Oof__int__0__le__iff_0) # label(axiom).  [assumption].
% 25.08/25.04  Derived: -c_lessequals(c_0,c_IntDef_Oof__int(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,A,tc_IntDef_Oint).  [resolve(3903,a,3876,a)].
% 25.08/25.04  Derived: -c_lessequals(c_0,c_IntDef_Oof__int(A,B),B) | c_lessequals(c_0,A,tc_IntDef_Oint) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3903,a,3877,b)].
% 25.08/25.04  3904 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_0,B,tc_IntDef_Oint) | c_lessequals(c_0,c_IntDef_Oof__int(B,A),A) # label(cls_IntDef_Oof__int__0__le__iff_1) # label(axiom).  [assumption].
% 25.08/25.04  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_lessequals(c_0,c_IntDef_Oof__int(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3904,a,3876,a)].
% 25.08/25.04  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_lessequals(c_0,c_IntDef_Oof__int(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3904,a,3877,b)].
% 25.08/25.04  3905 -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_0,c_IntDef_Oof__int(B,A),A) | c_less(c_0,B,tc_IntDef_Oint) # label(cls_IntDef_Oof__int__0__less__iff_0) # label(axiom).  [assumption].
% 25.08/25.05  Derived: -c_less(c_0,c_IntDef_Oof__int(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_0,A,tc_IntDef_Oint).  [resolve(3905,a,3876,a)].
% 25.08/25.05  Derived: -c_less(c_0,c_IntDef_Oof__int(A,B),B) | c_less(c_0,A,tc_IntDef_Oint) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3905,a,3877,b)].
% 25.08/25.05  3906 -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_0,B,tc_IntDef_Oint) | c_less(c_0,c_IntDef_Oof__int(B,A),A) # label(cls_IntDef_Oof__int__0__less__iff_1) # label(axiom).  [assumption].
% 25.08/25.05  Derived: -c_less(c_0,A,tc_IntDef_Oint) | c_less(c_0,c_IntDef_Oof__int(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3906,a,3876,a)].
% 25.08/25.05  Derived: -c_less(c_0,A,tc_IntDef_Oint) | c_less(c_0,c_IntDef_Oof__int(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3906,a,3877,b)].
% 25.08/25.05  3907 -class_Ring__and__Field_Oordered__idom(A) | c_IntDef_Oof__int(B,A) != c_0 | B = c_0 # label(cls_IntDef_Oof__int__eq__0__iff_0) # label(axiom).  [assumption].
% 25.08/25.05  Derived: c_IntDef_Oof__int(A,tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(3907,a,3876,a)].
% 25.08/25.05  Derived: c_IntDef_Oof__int(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(3907,a,3877,b)].
% 25.08/25.05  3908 -class_Ring__and__Field_Oordered__idom(A) | c_IntDef_Oof__int(c_0,A) = c_0 # label(cls_IntDef_Oof__int__eq__0__iff_1) # label(axiom).  [assumption].
% 25.08/25.05  Derived: c_IntDef_Oof__int(c_0,tc_IntDef_Oint) = c_0.  [resolve(3908,a,3876,a)].
% 25.08/25.05  Derived: c_IntDef_Oof__int(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3908,a,3877,b)].
% 25.08/25.05  3909 -class_Ring__and__Field_Oordered__idom(A) | c_IntDef_Oof__int(B,A) != c_IntDef_Oof__int(C,A) | B = C # label(cls_IntDef_Oof__int__eq__iff_0) # label(axiom).  [assumption].
% 25.08/25.05  Derived: c_IntDef_Oof__int(A,tc_IntDef_Oint) != c_IntDef_Oof__int(B,tc_IntDef_Oint) | A = B.  [resolve(3909,a,3876,a)].
% 25.08/25.05  Derived: c_IntDef_Oof__int(A,B) != c_IntDef_Oof__int(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(3909,a,3877,b)].
% 25.08/25.05  3910 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_IntDef_Oof__int(B,A),c_0,A) | c_lessequals(B,c_0,tc_IntDef_Oint) # label(cls_IntDef_Oof__int__le__0__iff_0) # label(axiom).  [assumption].
% 25.08/25.05  Derived: -c_lessequals(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(A,c_0,tc_IntDef_Oint).  [resolve(3910,a,3876,a)].
% 25.08/25.05  Derived: -c_lessequals(c_IntDef_Oof__int(A,B),c_0,B) | c_lessequals(A,c_0,tc_IntDef_Oint) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3910,a,3877,b)].
% 25.08/25.05  3911 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,c_0,tc_IntDef_Oint) | c_lessequals(c_IntDef_Oof__int(B,A),c_0,A) # label(cls_IntDef_Oof__int__le__0__iff_1) # label(axiom).  [assumption].
% 25.08/25.05  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_lessequals(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3911,a,3876,a)].
% 25.08/25.05  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_lessequals(c_IntDef_Oof__int(A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3911,a,3877,b)].
% 25.08/25.05  3912 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_IntDef_Oof__int(B,A),c_IntDef_Oof__int(C,A),A) | c_lessequals(B,C,tc_IntDef_Oint) # label(cls_IntDef_Oof__int__le__iff_0) # label(axiom).  [assumption].
% 25.08/25.05  Derived: -c_lessequals(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_IntDef_Oof__int(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(3912,a,3876,a)].
% 25.08/25.05  Derived: -c_lessequals(c_IntDef_Oof__int(A,B),c_IntDef_Oof__int(C,B),B) | c_lessequals(A,C,tc_IntDef_Oint) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3912,a,3877,b)].
% 25.08/25.05  3913 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,tc_IntDef_Oint) | c_lessequals(c_IntDef_Oof__int(B,A),c_IntDef_Oof__int(C,A),A) # label(cls_IntDef_Oof__int__le__iff_1) # label(axiom).  [assumption].
% 25.08/25.05  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_IntDef_Oof__int(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3913,a,3876,a)].
% 25.08/25.05  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3913,a,3877,b)].
% 25.08/25.07  3914 -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_IntDef_Oof__int(B,A),c_0,A) | c_less(B,c_0,tc_IntDef_Oint) # label(cls_IntDef_Oof__int__less__0__iff_0) # label(axiom).  [assumption].
% 25.08/25.07  Derived: -c_less(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_less(A,c_0,tc_IntDef_Oint).  [resolve(3914,a,3876,a)].
% 25.08/25.07  Derived: -c_less(c_IntDef_Oof__int(A,B),c_0,B) | c_less(A,c_0,tc_IntDef_Oint) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3914,a,3877,b)].
% 25.08/25.07  3915 -class_Ring__and__Field_Oordered__idom(A) | -c_less(B,c_0,tc_IntDef_Oint) | c_less(c_IntDef_Oof__int(B,A),c_0,A) # label(cls_IntDef_Oof__int__less__0__iff_1) # label(axiom).  [assumption].
% 25.08/25.07  Derived: -c_less(A,c_0,tc_IntDef_Oint) | c_less(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3915,a,3876,a)].
% 25.08/25.07  Derived: -c_less(A,c_0,tc_IntDef_Oint) | c_less(c_IntDef_Oof__int(A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3915,a,3877,b)].
% 25.08/25.07  3916 -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_IntDef_Oof__int(B,A),c_IntDef_Oof__int(C,A),A) | c_less(B,C,tc_IntDef_Oint) # label(cls_IntDef_Oof__int__less__iff_0) # label(axiom).  [assumption].
% 25.08/25.07  Derived: -c_less(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_IntDef_Oof__int(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint).  [resolve(3916,a,3876,a)].
% 25.08/25.07  Derived: -c_less(c_IntDef_Oof__int(A,B),c_IntDef_Oof__int(C,B),B) | c_less(A,C,tc_IntDef_Oint) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3916,a,3877,b)].
% 25.08/25.07  3917 -class_Ring__and__Field_Oordered__idom(A) | -c_less(B,C,tc_IntDef_Oint) | c_less(c_IntDef_Oof__int(B,A),c_IntDef_Oof__int(C,A),A) # label(cls_IntDef_Oof__int__less__iff_1) # label(axiom).  [assumption].
% 25.08/25.07  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_IntDef_Oof__int(A,tc_IntDef_Oint),c_IntDef_Oof__int(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3917,a,3876,a)].
% 25.08/25.07  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(3917,a,3877,b)].
% 25.08/25.07  3918 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_HOL_Oabs(c_Numeral_Onumber__of(B,A),A) = c_uminus(c_Numeral_Onumber__of(B,A),A) # label(cls_Numeral_Obin__arith__extra__simps__6_0) # label(axiom).  [assumption].
% 25.08/25.07  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_HOL_Oabs(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3918,b,3876,a)].
% 25.08/25.07  Derived: -class_Numeral_Onumber__ring(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_HOL_Oabs(c_Numeral_Onumber__of(B,A),A) = c_uminus(c_Numeral_Onumber__of(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3918,b,3877,b)].
% 25.08/25.07  3919 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_HOL_Oabs(c_Numeral_Onumber__of(B,A),A) = c_Numeral_Onumber__of(B,A) # label(cls_Numeral_Obin__arith__extra__simps__6_1) # label(axiom).  [assumption].
% 25.08/25.07  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_HOL_Oabs(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) = c_Numeral_Onumber__of(A,tc_IntDef_Oint).  [resolve(3919,b,3876,a)].
% 25.08/25.07  Derived: -class_Numeral_Onumber__ring(A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_HOL_Oabs(c_Numeral_Onumber__of(B,A),A) = c_Numeral_Onumber__of(B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3919,b,3877,b)].
% 25.08/25.07  3920 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,A),A) # label(cls_Numeral_Obin__rel__simps__11_0) # label(axiom).  [assumption].
% 25.08/25.07  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3920,b,3876,a)].
% 25.08/25.07  Derived: -class_Numeral_Onumber__ring(A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3920,b,3877,b)].
% 25.08/25.08  3921 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(B,C),A),A) | c_IntDef_Oneg(c_Numeral_Onumber__of(B,A),A) # label(cls_Numeral_Obin__rel__simps__12_0) # label(axiom).  [assumption].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(A,B),tc_IntDef_Oint),tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3921,b,3876,a)].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(B,C),A),A) | c_IntDef_Oneg(c_Numeral_Onumber__of(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3921,b,3877,b)].
% 25.08/25.08  3922 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(B,A),A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(B,C),A),A) # label(cls_Numeral_Obin__rel__simps__12_1) # label(axiom).  [assumption].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(A,B),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3922,b,3876,a)].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(B,A),A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(B,C),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3922,b,3877,b)].
% 25.08/25.08  3923 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(C)),A),A) | -c_lessequals(c_Numeral_Onumber__of(C,A),c_Numeral_Onumber__of(B,A),A) # label(cls_Numeral_Obin__rel__simps__13_0) # label(axiom).  [assumption].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(B)),tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_Numeral_Onumber__of(B,tc_IntDef_Oint),c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3923,b,3876,a)].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(C)),A),A) | -c_lessequals(c_Numeral_Onumber__of(C,A),c_Numeral_Onumber__of(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3923,b,3877,b)].
% 25.08/25.08  3924 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(C)),A),A) | c_lessequals(c_Numeral_Onumber__of(C,A),c_Numeral_Onumber__of(B,A),A) # label(cls_Numeral_Obin__rel__simps__13_1) # label(axiom).  [assumption].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(B)),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_Numeral_Onumber__of(B,tc_IntDef_Oint),c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3924,b,3876,a)].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(C)),A),A) | c_lessequals(c_Numeral_Onumber__of(C,A),c_Numeral_Onumber__of(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3924,b,3877,b)].
% 25.08/25.08  3925 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(B,c_Numeral_Obit_OB0),A),A) | c_IntDef_Oiszero(c_Numeral_Onumber__of(B,A),A) # label(cls_Numeral_Obin__rel__simps__4_0) # label(axiom).  [assumption].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(A,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint) | c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3925,b,3876,a)].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(B,c_Numeral_Obit_OB0),A),A) | c_IntDef_Oiszero(c_Numeral_Onumber__of(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3925,b,3877,b)].
% 25.08/25.08  3926 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oiszero(c_Numeral_Onumber__of(B,A),A) | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(B,c_Numeral_Obit_OB0),A),A) # label(cls_Numeral_Obin__rel__simps__4_1) # label(axiom).  [assumption].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oiszero(c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(A,c_Numeral_Obit_OB0),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3926,b,3876,a)].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oiszero(c_Numeral_Onumber__of(B,A),A) | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(B,c_Numeral_Obit_OB0),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3926,b,3877,b)].
% 25.08/25.08  3927 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(B,c_Numeral_Obit_OB1),A),A) # label(cls_Numeral_Obin__rel__simps__5_0) # label(axiom).  [assumption].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(A,c_Numeral_Obit_OB1),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3927,b,3876,a)].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(B,c_Numeral_Obit_OB1),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3927,b,3877,b)].
% 25.08/25.08  3928 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_Numeral_Onumber__of(B,A),c_Numeral_Onumber__of(C,A),A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(C)),A),A) # label(cls_Numeral_Obin__rel__simps__6_0) # label(axiom).  [assumption].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(B)),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3928,b,3876,a)].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(A) | -c_less(c_Numeral_Onumber__of(B,A),c_Numeral_Onumber__of(C,A),A) | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(C)),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3928,b,3877,b)].
% 25.08/25.08  3929 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(C)),A),A) | c_less(c_Numeral_Onumber__of(B,A),c_Numeral_Onumber__of(C,A),A) # label(cls_Numeral_Obin__rel__simps__6_1) # label(axiom).  [assumption].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(A,c_Numeral_Obin__minus(B)),tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3929,b,3876,a)].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(B,c_Numeral_Obin__minus(C)),A),A) | c_less(c_Numeral_Onumber__of(B,A),c_Numeral_Onumber__of(C,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3929,b,3877,b)].
% 25.08/25.08  3930 -class_Numeral_Onumber__ring(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,A),A) # label(cls_Numeral_Obin__rel__simps__7_0) # label(axiom).  [assumption].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(tc_IntDef_Oint) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3930,b,3876,a)].
% 25.08/25.08  Derived: -class_Numeral_Onumber__ring(A) | -c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3930,b,3877,b)].
% 25.08/25.08  3931 -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_0,A) # label(cls_Numeral_Obin__rel__simps__8_0) # label(axiom).  [assumption].
% 25.08/25.08  Derived: -c_IntDef_Oneg(c_0,tc_IntDef_Oint).  [resolve(3931,a,3876,a)].
% 25.08/25.10  Derived: -c_IntDef_Oneg(c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3931,a,3877,b)].
% 25.08/25.10  3932 -class_Ring__and__Field_Oordered__idom(A) | -c_IntDef_Oneg(c_1,A) # label(cls_Numeral_Obin__rel__simps__9_0) # label(axiom).  [assumption].
% 25.08/25.10  Derived: -c_IntDef_Oneg(c_1,tc_IntDef_Oint).  [resolve(3932,a,3876,a)].
% 25.08/25.10  Derived: -c_IntDef_Oneg(c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3932,a,3877,b)].
% 25.08/25.10  3933 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A) != c_0 | B = c_0 # label(cls_Parity_Opower__eq__0__iff__number__of_0) # label(axiom).  [assumption].
% 25.08/25.10  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_Nat_Opower(A,c_Numeral_Onumber__of(B,tc_nat),tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(3933,b,3876,a)].
% 25.08/25.10  Derived: -class_Power_Orecpower(A) | c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A) != c_0 | B = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3933,b,3877,b)].
% 25.08/25.10  3934 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A) != c_0 | c_less(c_0,c_Numeral_Onumber__of(C,tc_nat),tc_nat) # label(cls_Parity_Opower__eq__0__iff__number__of_1) # label(axiom).  [assumption].
% 25.08/25.10  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_Nat_Opower(A,c_Numeral_Onumber__of(B,tc_nat),tc_IntDef_Oint) != c_0 | c_less(c_0,c_Numeral_Onumber__of(B,tc_nat),tc_nat).  [resolve(3934,b,3876,a)].
% 25.08/25.10  Derived: -class_Power_Orecpower(A) | c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A) != c_0 | c_less(c_0,c_Numeral_Onumber__of(C,tc_nat),tc_nat) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3934,b,3877,b)].
% 25.08/25.10  3935 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_0,c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_Nat_Opower(c_0,c_Numeral_Onumber__of(B,tc_nat),A) = c_0 # label(cls_Parity_Opower__eq__0__iff__number__of_2) # label(axiom).  [assumption].
% 25.08/25.10  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_0,c_Numeral_Onumber__of(A,tc_nat),tc_nat) | c_Nat_Opower(c_0,c_Numeral_Onumber__of(A,tc_nat),tc_IntDef_Oint) = c_0.  [resolve(3935,b,3876,a)].
% 25.08/25.10  Derived: -class_Power_Orecpower(A) | -c_less(c_0,c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_Nat_Opower(c_0,c_Numeral_Onumber__of(B,tc_nat),A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3935,b,3877,b)].
% 25.08/25.10  3936 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_Nat_Opower(c_HOL_Oabs(C,A),c_Numeral_Onumber__of(B,tc_nat),A) = c_Nat_Opower(C,c_Numeral_Onumber__of(B,tc_nat),A) # label(cls_Parity_Opower__even__abs__number__of_0) # label(axiom).  [assumption].
% 25.08/25.10  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_Parity_Oeven(c_Numeral_Onumber__of(A,tc_nat),tc_nat) | c_Nat_Opower(c_HOL_Oabs(B,tc_IntDef_Oint),c_Numeral_Onumber__of(A,tc_nat),tc_IntDef_Oint) = c_Nat_Opower(B,c_Numeral_Onumber__of(A,tc_nat),tc_IntDef_Oint).  [resolve(3936,b,3876,a)].
% 25.08/25.10  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_Nat_Opower(c_HOL_Oabs(C,A),c_Numeral_Onumber__of(B,tc_nat),A) = c_Nat_Opower(C,c_Numeral_Onumber__of(B,tc_nat),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3936,b,3877,b)].
% 25.08/25.10  3937 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),c_0,A) | c_Numeral_Onumber__of(C,tc_nat) != c_0 # label(cls_Parity_Opower__le__zero__eq__number__of_0) # label(axiom).  [assumption].
% 25.08/25.10  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_lessequals(c_Nat_Opower(A,c_Numeral_Onumber__of(B,tc_nat),tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_Numeral_Onumber__of(B,tc_nat) != c_0.  [resolve(3937,b,3876,a)].
% 25.08/25.10  Derived: -class_Power_Orecpower(A) | -c_lessequals(c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),c_0,A) | c_Numeral_Onumber__of(C,tc_nat) != c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3937,b,3877,b)].
% 25.08/25.10  3938 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | -c_lessequals(c_Nat_Opower(C,c_Numeral_Onumber__of(B,tc_nat),A),c_0,A) | C = c_0 # label(cls_Parity_Opower__le__zero__eq__number__of_1) # label(axiom).  [assumption].
% 25.08/25.10  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_Parity_Oeven(c_Numeral_Onumber__of(A,tc_nat),tc_nat) | -c_lessequals(c_Nat_Opower(B,c_Numeral_Onumber__of(A,tc_nat),tc_IntDef_Oint),c_0,tc_IntDef_Oint) | B = c_0.  [resolve(3938,b,3876,a)].
% 25.08/25.10  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | -c_lessequals(c_Nat_Opower(C,c_Numeral_Onumber__of(B,tc_nat),A),c_0,A) | C = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3938,b,3877,b)].
% 25.08/25.10  3939 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),c_0,A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_lessequals(B,c_0,A) # label(cls_Parity_Opower__le__zero__eq__number__of_2) # label(axiom).  [assumption].
% 25.08/25.10  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_lessequals(c_Nat_Opower(A,c_Numeral_Onumber__of(B,tc_nat),tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_lessequals(A,c_0,tc_IntDef_Oint).  [resolve(3939,b,3876,a)].
% 25.08/25.10  Derived: -class_Power_Orecpower(A) | -c_lessequals(c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),c_0,A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_lessequals(B,c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3939,b,3877,b)].
% 25.08/25.10  3940 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),c_0,A) | c_lessequals(B,c_0,A) | B = c_0 # label(cls_Parity_Opower__le__zero__eq__number__of_3) # label(axiom).  [assumption].
% 25.08/25.10  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_lessequals(c_Nat_Opower(A,c_Numeral_Onumber__of(B,tc_nat),tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(A,c_0,tc_IntDef_Oint) | A = c_0.  [resolve(3940,b,3876,a)].
% 25.08/25.10  Derived: -class_Power_Orecpower(A) | -c_lessequals(c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),c_0,A) | c_lessequals(B,c_0,A) | B = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3940,b,3877,b)].
% 25.08/25.10  3941 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,c_0,A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_lessequals(c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),c_0,A) | c_Numeral_Onumber__of(C,tc_nat) = c_0 # label(cls_Parity_Opower__le__zero__eq__number__of_4) # label(axiom).  [assumption].
% 25.08/25.10  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_lessequals(A,c_0,tc_IntDef_Oint) | c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_lessequals(c_Nat_Opower(A,c_Numeral_Onumber__of(B,tc_nat),tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_Numeral_Onumber__of(B,tc_nat) = c_0.  [resolve(3941,b,3876,a)].
% 25.08/25.10  Derived: -class_Power_Orecpower(A) | -c_lessequals(B,c_0,A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_lessequals(c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),c_0,A) | c_Numeral_Onumber__of(C,tc_nat) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3941,b,3877,b)].
% 25.08/25.10  3942 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(B,tc_nat),A),c_0,A) | c_Numeral_Onumber__of(B,tc_nat) = c_0 # label(cls_Parity_Opower__le__zero__eq__number__of_5) # label(axiom).  [assumption].
% 25.08/25.10  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_Parity_Oeven(c_Numeral_Onumber__of(A,tc_nat),tc_nat) | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(A,tc_nat),tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_Numeral_Onumber__of(A,tc_nat) = c_0.  [resolve(3942,b,3876,a)].
% 25.08/25.10  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(B,tc_nat),A),c_0,A) | c_Numeral_Onumber__of(B,tc_nat) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3942,b,3877,b)].
% 25.08/25.11  3943 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | -c_less(c_Nat_Opower(C,c_Numeral_Onumber__of(B,tc_nat),A),c_0,A) # label(cls_Parity_Opower__less__zero__eq__number__of_0) # label(axiom).  [assumption].
% 25.08/25.11  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_Parity_Oeven(c_Numeral_Onumber__of(A,tc_nat),tc_nat) | -c_less(c_Nat_Opower(B,c_Numeral_Onumber__of(A,tc_nat),tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3943,b,3876,a)].
% 25.08/25.11  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | -c_less(c_Nat_Opower(C,c_Numeral_Onumber__of(B,tc_nat),A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3943,b,3877,b)].
% 25.08/25.11  3944 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),c_0,A) | c_less(B,c_0,A) # label(cls_Parity_Opower__less__zero__eq__number__of_1) # label(axiom).  [assumption].
% 25.08/25.11  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_Nat_Opower(A,c_Numeral_Onumber__of(B,tc_nat),tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_less(A,c_0,tc_IntDef_Oint).  [resolve(3944,b,3876,a)].
% 25.08/25.11  Derived: -class_Power_Orecpower(A) | -c_less(c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3944,b,3877,b)].
% 25.08/25.11  3945 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(B,c_0,A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_less(c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),c_0,A) # label(cls_Parity_Opower__less__zero__eq__number__of_2) # label(axiom).  [assumption].
% 25.08/25.11  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(A,c_0,tc_IntDef_Oint) | c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_less(c_Nat_Opower(A,c_Numeral_Onumber__of(B,tc_nat),tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(3945,b,3876,a)].
% 25.08/25.11  Derived: -class_Power_Orecpower(A) | -c_less(B,c_0,A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_less(c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3945,b,3877,b)].
% 25.08/25.11  3946 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_0,c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_lessequals(c_0,B,A) # label(cls_Parity_Ozero__le__power__eq__number__of_0) # label(axiom).  [assumption].
% 25.08/25.11  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_lessequals(c_0,c_Nat_Opower(A,c_Numeral_Onumber__of(B,tc_nat),tc_IntDef_Oint),tc_IntDef_Oint) | c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_lessequals(c_0,A,tc_IntDef_Oint).  [resolve(3946,b,3876,a)].
% 25.08/25.11  Derived: -class_Power_Orecpower(A) | -c_lessequals(c_0,c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_lessequals(c_0,B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3946,b,3877,b)].
% 25.08/25.11  3947 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_lessequals(c_0,c_Nat_Opower(C,c_Numeral_Onumber__of(B,tc_nat),A),A) # label(cls_Parity_Ozero__le__power__eq__number__of_1) # label(axiom).  [assumption].
% 25.08/25.11  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_Parity_Oeven(c_Numeral_Onumber__of(A,tc_nat),tc_nat) | c_lessequals(c_0,c_Nat_Opower(B,c_Numeral_Onumber__of(A,tc_nat),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3947,b,3876,a)].
% 25.08/25.11  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_lessequals(c_0,c_Nat_Opower(C,c_Numeral_Onumber__of(B,tc_nat),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3947,b,3877,b)].
% 25.08/25.11  3948 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_0,B,A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_lessequals(c_0,c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),A) # label(cls_Parity_Ozero__le__power__eq__number__of_2) # label(axiom).  [assumption].
% 25.16/25.11  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_lessequals(c_0,A,tc_IntDef_Oint) | c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_lessequals(c_0,c_Nat_Opower(A,c_Numeral_Onumber__of(B,tc_nat),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3948,b,3876,a)].
% 25.16/25.11  Derived: -class_Power_Orecpower(A) | -c_lessequals(c_0,B,A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_lessequals(c_0,c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3948,b,3877,b)].
% 25.16/25.11  3949 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_0,c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_less(c_0,B,A) | c_Numeral_Onumber__of(C,tc_nat) = c_0 # label(cls_Parity_Ozero__less__power__eq__number__of_0) # label(axiom).  [assumption].
% 25.16/25.11  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_0,c_Nat_Opower(A,c_Numeral_Onumber__of(B,tc_nat),tc_IntDef_Oint),tc_IntDef_Oint) | c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_less(c_0,A,tc_IntDef_Oint) | c_Numeral_Onumber__of(B,tc_nat) = c_0.  [resolve(3949,b,3876,a)].
% 25.16/25.11  Derived: -class_Power_Orecpower(A) | -c_less(c_0,c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_less(c_0,B,A) | c_Numeral_Onumber__of(C,tc_nat) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3949,b,3877,b)].
% 25.16/25.11  3950 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | -c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(B,tc_nat),A),A) | c_Numeral_Onumber__of(B,tc_nat) = c_0 # label(cls_Parity_Ozero__less__power__eq__number__of_1) # label(axiom).  [assumption].
% 25.16/25.11  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_Parity_Oeven(c_Numeral_Onumber__of(A,tc_nat),tc_nat) | -c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(A,tc_nat),tc_IntDef_Oint),tc_IntDef_Oint) | c_Numeral_Onumber__of(A,tc_nat) = c_0.  [resolve(3950,b,3876,a)].
% 25.16/25.12  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | -c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(B,tc_nat),A),A) | c_Numeral_Onumber__of(B,tc_nat) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3950,b,3877,b)].
% 25.16/25.12  3951 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(B,tc_nat),A),A) | c_less(c_0,c_0,A) | c_Numeral_Onumber__of(B,tc_nat) = c_0 # label(cls_Parity_Ozero__less__power__eq__number__of_2) # label(axiom).  [assumption].
% 25.16/25.12  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(A,tc_nat),tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_0,c_0,tc_IntDef_Oint) | c_Numeral_Onumber__of(A,tc_nat) = c_0.  [resolve(3951,b,3876,a)].
% 25.16/25.12  Derived: -class_Power_Orecpower(A) | -c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(B,tc_nat),A),A) | c_less(c_0,c_0,A) | c_Numeral_Onumber__of(B,tc_nat) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3951,b,3877,b)].
% 25.16/25.12  3952 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | c_Numeral_Onumber__of(B,tc_nat) != c_0 | c_less(c_0,c_Nat_Opower(C,c_Numeral_Onumber__of(B,tc_nat),A),A) # label(cls_Parity_Ozero__less__power__eq__number__of_3) # label(axiom).  [assumption].
% 25.16/25.12  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_Numeral_Onumber__of(A,tc_nat) != c_0 | c_less(c_0,c_Nat_Opower(B,c_Numeral_Onumber__of(A,tc_nat),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3952,b,3876,a)].
% 25.16/25.12  Derived: -class_Power_Orecpower(A) | c_Numeral_Onumber__of(B,tc_nat) != c_0 | c_less(c_0,c_Nat_Opower(C,c_Numeral_Onumber__of(B,tc_nat),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3952,b,3877,b)].
% 25.16/25.12  3953 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_less(c_0,c_Nat_Opower(C,c_Numeral_Onumber__of(B,tc_nat),A),A) | C = c_0 # label(cls_Parity_Ozero__less__power__eq__number__of_4) # label(axiom).  [assumption].
% 25.16/25.12  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_Parity_Oeven(c_Numeral_Onumber__of(A,tc_nat),tc_nat) | c_less(c_0,c_Nat_Opower(B,c_Numeral_Onumber__of(A,tc_nat),tc_IntDef_Oint),tc_IntDef_Oint) | B = c_0.  [resolve(3953,b,3876,a)].
% 25.16/25.12  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_less(c_0,c_Nat_Opower(C,c_Numeral_Onumber__of(B,tc_nat),A),A) | C = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3953,b,3877,b)].
% 25.16/25.12  3954 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_0,B,A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_less(c_0,c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),A) # label(cls_Parity_Ozero__less__power__eq__number__of_5) # label(axiom).  [assumption].
% 25.16/25.12  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_0,A,tc_IntDef_Oint) | c_Parity_Oeven(c_Numeral_Onumber__of(B,tc_nat),tc_nat) | c_less(c_0,c_Nat_Opower(A,c_Numeral_Onumber__of(B,tc_nat),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3954,b,3876,a)].
% 25.16/25.12  Derived: -class_Power_Orecpower(A) | -c_less(c_0,B,A) | c_Parity_Oeven(c_Numeral_Onumber__of(C,tc_nat),tc_nat) | c_less(c_0,c_Nat_Opower(B,c_Numeral_Onumber__of(C,tc_nat),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3954,b,3877,b)].
% 25.16/25.12  3955 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | c_Nat_Opower(B,C,A) != c_0 | B = c_0 # label(cls_Power_Opower__eq__0__iff_0) # label(axiom).  [assumption].
% 25.16/25.12  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_Nat_Opower(A,B,tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(3955,b,3876,a)].
% 25.16/25.12  Derived: -class_Power_Orecpower(A) | c_Nat_Opower(B,C,A) != c_0 | B = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3955,b,3877,b)].
% 25.16/25.12  3956 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | c_Nat_Opower(B,C,A) != c_0 | c_less(c_0,C,tc_nat) # label(cls_Power_Opower__eq__0__iff_1) # label(axiom).  [assumption].
% 25.16/25.12  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_Nat_Opower(A,B,tc_IntDef_Oint) != c_0 | c_less(c_0,B,tc_nat).  [resolve(3956,b,3876,a)].
% 25.16/25.12  Derived: -class_Power_Orecpower(A) | c_Nat_Opower(B,C,A) != c_0 | c_less(c_0,C,tc_nat) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3956,b,3877,b)].
% 25.16/25.12  3957 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_0,B,tc_nat) | c_Nat_Opower(c_0,B,A) = c_0 # label(cls_Power_Opower__eq__0__iff_2) # label(axiom).  [assumption].
% 25.16/25.12  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_0,A,tc_nat) | c_Nat_Opower(c_0,A,tc_IntDef_Oint) = c_0.  [resolve(3957,b,3876,a)].
% 25.16/25.12  Derived: -class_Power_Orecpower(A) | -c_less(c_0,B,tc_nat) | c_Nat_Opower(c_0,B,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3957,b,3877,b)].
% 25.16/25.12  3958 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(B,A),C,A),A) # label(cls_Power_Ozero__le__power__abs_0) # label(axiom).  [assumption].
% 25.16/25.12  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(A,tc_IntDef_Oint),B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3958,b,3876,a)].
% 25.16/25.12  Derived: -class_Power_Orecpower(A) | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(B,A),C,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3958,b,3877,b)].
% 25.16/25.12  3959 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | -c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,A),B,A),A) | B = c_0 # label(cls_Power_Ozero__less__power__abs__iff_0) # label(axiom).  [assumption].
% 25.16/25.12  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_0.  [resolve(3959,b,3876,a)].
% 25.16/25.12  Derived: -class_Power_Orecpower(A) | -c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,A),B,A),A) | B = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3959,b,3877,b)].
% 25.16/25.12  3960 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(B,A),C,A),A) | B = c_0 # label(cls_Power_Ozero__less__power__abs__iff_1) # label(axiom).  [assumption].
% 25.16/25.14  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(A,tc_IntDef_Oint),B,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_0.  [resolve(3960,b,3876,a)].
% 25.16/25.14  Derived: -class_Power_Orecpower(A) | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(B,A),C,A),A) | B = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3960,b,3877,b)].
% 25.16/25.14  3961 -class_Power_Orecpower(A) | -class_Ring__and__Field_Oordered__idom(A) | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(B,A),c_0,A),A) # label(cls_Power_Ozero__less__power__abs__iff_2) # label(axiom).  [assumption].
% 25.16/25.14  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(3961,b,3876,a)].
% 25.16/25.14  Derived: -class_Power_Orecpower(A) | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(B,A),c_0,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(3961,b,3877,b)].
% 25.16/25.14  3962 -class_Ring__and__Field_Oordered__idom(A) | c_HOL_Oabs(c_1,A) = c_1 # label(cls_Ring__and__Field_Oabs__one_0) # label(axiom).  [assumption].
% 25.16/25.14  Derived: c_HOL_Oabs(c_1,tc_IntDef_Oint) = c_1.  [resolve(3962,a,3876,a)].
% 25.16/25.14  Derived: c_HOL_Oabs(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__field(A).  [resolve(3962,a,3877,b)].
% 25.16/25.14  3963 -class_Ring__and__Field_Oordered__idom(A) | B != c_times(B,C,A) | B = c_0 | C = c_1 # label(cls_Ring__and__Field_Omult__cancel__left1_0) # label(axiom).  [assumption].
% 25.16/25.14  Derived: A != c_times(A,B,tc_IntDef_Oint) | A = c_0 | B = c_1.  [resolve(3963,a,3876,a)].
% 25.16/25.14  Derived: A != c_times(A,B,C) | A = c_0 | B = c_1 | -class_Ring__and__Field_Oordered__field(C).  [resolve(3963,a,3877,b)].
% 25.16/25.14  3964 -class_Ring__and__Field_Oordered__idom(A) | c_0 = c_times(c_0,B,A) # label(cls_Ring__and__Field_Omult__cancel__left1_1) # label(axiom).  [assumption].
% 25.16/25.14  Derived: c_0 = c_times(c_0,A,tc_IntDef_Oint).  [resolve(3964,a,3876,a)].
% 25.16/25.14  Derived: c_0 = c_times(c_0,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3964,a,3877,b)].
% 25.16/25.14  3965 -class_Ring__and__Field_Oordered__idom(A) | B = c_times(B,c_1,A) # label(cls_Ring__and__Field_Omult__cancel__left1_2) # label(axiom).  [assumption].
% 25.16/25.14  Derived: A = c_times(A,c_1,tc_IntDef_Oint).  [resolve(3965,a,3876,a)].
% 25.16/25.14  Derived: A = c_times(A,c_1,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3965,a,3877,b)].
% 25.16/25.14  3966 -class_Ring__and__Field_Oordered__idom(A) | c_times(B,C,A) != B | B = c_0 | C = c_1 # label(cls_Ring__and__Field_Omult__cancel__left2_0) # label(axiom).  [assumption].
% 25.16/25.14  Derived: c_times(A,B,tc_IntDef_Oint) != A | A = c_0 | B = c_1.  [resolve(3966,a,3876,a)].
% 25.16/25.14  Derived: c_times(A,B,C) != A | A = c_0 | B = c_1 | -class_Ring__and__Field_Oordered__field(C).  [resolve(3966,a,3877,b)].
% 25.16/25.14  3967 -class_Ring__and__Field_Oordered__idom(A) | B != c_times(C,B,A) | B = c_0 | C = c_1 # label(cls_Ring__and__Field_Omult__cancel__right1_0) # label(axiom).  [assumption].
% 25.16/25.14  Derived: A != c_times(B,A,tc_IntDef_Oint) | A = c_0 | B = c_1.  [resolve(3967,a,3876,a)].
% 25.16/25.14  Derived: A != c_times(B,A,C) | A = c_0 | B = c_1 | -class_Ring__and__Field_Oordered__field(C).  [resolve(3967,a,3877,b)].
% 25.16/25.14  3968 -class_Ring__and__Field_Oordered__idom(A) | c_0 = c_times(B,c_0,A) # label(cls_Ring__and__Field_Omult__cancel__right1_1) # label(axiom).  [assumption].
% 25.16/25.14  Derived: c_0 = c_times(A,c_0,tc_IntDef_Oint).  [resolve(3968,a,3876,a)].
% 25.16/25.14  Derived: c_0 = c_times(A,c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3968,a,3877,b)].
% 25.16/25.14  3969 -class_Ring__and__Field_Oordered__idom(A) | B = c_times(c_1,B,A) # label(cls_Ring__and__Field_Omult__cancel__right1_2) # label(axiom).  [assumption].
% 25.16/25.14  Derived: A = c_times(c_1,A,tc_IntDef_Oint).  [resolve(3969,a,3876,a)].
% 25.16/25.14  Derived: A = c_times(c_1,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(3969,a,3877,b)].
% 25.16/25.14  3970 -class_Ring__and__Field_Oordered__idom(A) | c_times(B,C,A) != C | C = c_0 | B = c_1 # label(cls_Ring__and__Field_Omult__cancel__right2_0) # label(axiom).  [assumption].
% 25.16/25.14  Derived: c_times(A,B,tc_IntDef_Oint) != B | B = c_0 | A = c_1.  [resolve(3970,a,3876,a)].
% 25.16/25.14  Derived: c_times(A,B,C) != B | B = c_0 | A = c_1 | -class_Ring__and__Field_Oordered__field(C).  [resolve(3970,a,3877,b)].
% 25.16/25.17  3971 -class_Ring__and__Field_Oordered__idom(A) | c_lessequals(B,B,A).  [resolve(22,b,2,a)].
% 25.16/25.17  3972 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(33,a,22,b)].
% 25.16/25.17  3973 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(34,a,22,b)].
% 25.16/25.17  3974 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(35,a,22,b)].
% 25.16/25.17  3975 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(36,a,22,b)].
% 25.16/25.17  3976 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(37,a,22,b)].
% 25.16/25.17  3977 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(38,a,22,b)].
% 25.16/25.17  3978 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(39,a,22,b)].
% 25.16/25.17  3979 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(40,a,22,b)].
% 25.16/25.17  3980 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(41,a,22,b)].
% 25.16/25.17  3981 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(42,a,22,b)].
% 25.16/25.17  3982 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(43,a,57,b)].
% 25.16/25.17  3983 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(63,a,57,b)].
% 25.16/25.17  3984 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(64,a,57,b)].
% 25.16/25.17  3985 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(65,a,57,b)].
% 25.16/25.17  3986 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(66,a,57,b)].
% 25.16/25.17  3987 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(67,a,57,b)].
% 25.16/25.17  3988 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(68,a,57,b)].
% 25.16/25.17  3989 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(69,a,57,b)].
% 25.16/25.17  3990 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(70,a,57,b)].
% 25.16/25.17  3991 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(71,a,88,b)].
% 25.16/25.17  3992 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(100,a,88,b)].
% 25.16/25.17  3993 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(102,a,88,b)].
% 25.16/25.17  3994 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(108,b,88,b)].
% 25.16/25.17  3995 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(109,b,88,b)].
% 25.24/25.19  3996 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(183,a,167,b)].
% 25.24/25.19  3997 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(184,a,167,b)].
% 25.24/25.19  3998 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(221,c,201,b)].
% 25.24/25.19  3999 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(222,c,201,b)].
% 25.24/25.19  4000 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(223,a,201,b)].
% 25.24/25.19  4001 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(224,a,201,b)].
% 25.24/25.19  4002 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(226,b,201,b)].
% 25.24/25.19  4003 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(227,b,201,b)].
% 25.24/25.19  4004 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(307,a,295,b)].
% 25.24/25.19  4005 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(308,a,295,b)].
% 25.24/25.19  4006 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(346,b,334,b)].
% 25.24/25.19  4007 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(380,a,364,b)].
% 25.24/25.19  4008 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(381,a,364,b)].
% 25.24/25.19  4009 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(386,b,364,b)].
% 25.24/25.19  4010 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(389,c,364,b)].
% 25.24/25.19  4011 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(390,c,364,b)].
% 25.24/25.19  4012 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(391,b,364,b)].
% 25.24/25.19  4013 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(410,a,402,b)].
% 25.24/25.19  4014 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(413,b,402,b)].
% 25.24/25.19  4015 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(414,b,402,b)].
% 25.24/25.19  4016 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(415,a,402,b)].
% 25.24/25.19  4017 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(416,a,402,b)].
% 25.24/25.19  4018 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(417,a,402,b)].
% 25.24/25.19  4019 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(421,b,402,b)].
% 25.24/25.19  4020 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(428,c,402,b)].
% 25.24/25.19  4021 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(429,c,402,b)].
% 25.24/25.19  4022 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(433,b,402,b)].
% 25.24/25.19  4023 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(434,b,402,b)].
% 25.24/25.19  4024 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(439,b,402,b)].
% 25.24/25.19  4025 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(440,b,402,b)].
% 25.24/25.22  4026 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(441,b,402,b)].
% 25.24/25.22  4027 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(442,c,402,b)].
% 25.24/25.22  4028 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(443,c,402,b)].
% 25.24/25.22  4029 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(444,b,402,b)].
% 25.24/25.22  4030 class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(511,b,503,b)].
% 25.24/25.22  4031 c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(598,a,593,b)].
% 25.24/25.22  4032 c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(599,a,593,b)].
% 25.24/25.22  4033 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(633,b,622,b)].
% 25.24/25.22  4034 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(637,d,622,b)].
% 25.24/25.22  4035 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(638,d,622,b)].
% 25.24/25.22  4036 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(639,d,622,b)].
% 25.24/25.22  4037 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(640,d,622,b)].
% 25.24/25.22  4038 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(641,d,622,b)].
% 25.24/25.22  4039 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(642,d,622,b)].
% 25.24/25.22  4040 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(643,d,622,b)].
% 25.24/25.22  4041 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(644,d,622,b)].
% 25.24/25.22  4042 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(645,d,622,b)].
% 25.24/25.22  4043 c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(681,b,657,b)].
% 25.24/25.22  4044 c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(682,b,657,b)].
% 25.24/25.22  4045 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(738,b,698,b)].
% 25.24/25.22  4046 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(739,b,698,b)].
% 25.24/25.22  4047 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(830,c,791,b)].
% 25.24/25.22  4048 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(831,c,791,b)].
% 25.24/25.22  4049 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(832,b,791,b)].
% 25.24/25.22  4050 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(833,b,791,b)].
% 25.24/25.22  4051 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(834,b,791,b)].
% 25.24/25.22  4052 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(837,d,791,b)].
% 25.24/25.22  Derived: -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4052,d,3877,b)].
% 25.24/25.23  4053 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(838,d,791,b)].
% 25.24/25.23  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4053,d,3877,b)].
% 25.24/25.23  4054 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(839,d,791,b)].
% 25.24/25.23  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4054,d,3877,b)].
% 25.24/25.23  4055 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(840,d,791,b)].
% 25.24/25.23  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4055,d,3877,b)].
% 25.24/25.23  4056 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(841,d,791,b)].
% 25.24/25.23  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4056,d,3877,b)].
% 25.24/25.23  4057 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(842,d,791,b)].
% 25.24/25.23  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4057,d,3877,b)].
% 25.24/25.23  4058 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(843,d,791,b)].
% 25.24/25.23  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4058,d,3877,b)].
% 25.24/25.23  4059 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(844,d,791,b)].
% 25.24/25.23  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4059,d,3877,b)].
% 25.24/25.23  4060 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(845,d,791,b)].
% 25.24/25.23  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4060,d,3877,b)].
% 25.24/25.23  4061 c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(846,b,791,b)].
% 25.24/25.23  Derived: c_times(c_1,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4061,b,3877,b)].
% 25.24/25.23  4062 c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(847,b,791,b)].
% 25.24/25.23  Derived: c_times(A,c_1,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4062,b,3877,b)].
% 25.24/25.23  4063 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(848,b,791,b)].
% 25.24/25.23  4064 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(850,b,791,b)].
% 25.24/25.23  4065 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(851,b,791,b)].
% 25.24/25.23  4066 c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(869,a,867,b)].
% 25.24/25.23  4067 c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(870,a,867,b)].
% 25.24/25.25  4068 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(871,a,867,b)].
% 25.24/25.25  4069 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(872,a,867,b)].
% 25.24/25.25  4070 c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(873,a,867,b)].
% 25.24/25.25  4071 c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(874,a,867,b)].
% 25.24/25.25  4072 c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(875,a,867,b)].
% 25.24/25.25  4073 c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(876,a,867,b)].
% 25.24/25.25  4074 c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(877,a,867,b)].
% 25.24/25.25  4075 -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(878,a,867,b)].
% 25.24/25.25  4076 c_in(c_0,c_IntDef_OInts,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(945,a,944,b)].
% 25.24/25.25  Derived: c_in(c_0,c_IntDef_OInts,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4076,b,3877,b)].
% 25.24/25.25  4077 c_in(c_1,c_IntDef_OInts,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(946,a,944,b)].
% 25.24/25.25  Derived: c_in(c_1,c_IntDef_OInts,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4077,b,3877,b)].
% 25.24/25.25  4078 -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_plus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(947,a,944,b)].
% 25.24/25.25  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_plus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4078,d,3877,b)].
% 25.24/25.25  4079 -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_minus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(948,a,944,b)].
% 25.24/25.25  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_minus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4079,d,3877,b)].
% 25.24/25.25  4080 -c_in(A,c_IntDef_OInts,B) | c_in(c_uminus(A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(949,a,944,b)].
% 25.24/25.25  Derived: -c_in(A,c_IntDef_OInts,B) | c_in(c_uminus(A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4080,c,3877,b)].
% 25.24/25.25  4081 -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_times(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(950,a,944,b)].
% 25.24/25.25  Derived: -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_times(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4081,d,3877,b)].
% 25.24/25.25  4082 c_IntDef_Oof__int(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(951,a,944,b)].
% 25.24/25.25  Derived: c_IntDef_Oof__int(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__field(A).  [resolve(4082,b,3877,b)].
% 25.24/25.25  4083 c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),C) = c_plus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(952,a,944,b)].
% 25.24/25.25  Derived: c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),C) = c_plus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4083,b,3877,b)].
% 25.24/25.25  4084 c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),C) = c_minus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(953,a,944,b)].
% 25.24/25.25  Derived: c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),C) = c_minus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4084,b,3877,b)].
% 25.24/25.25  4085 c_IntDef_Oof__int(c_IntDef_Oint(A),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(954,a,944,b)].
% 25.24/25.25  Derived: c_IntDef_Oof__int(c_IntDef_Oint(A),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4085,b,3877,b)].
% 25.33/25.26  4086 c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),B) = c_uminus(c_IntDef_Oof__int(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(955,a,944,b)].
% 25.33/25.26  Derived: c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),B) = c_uminus(c_IntDef_Oof__int(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4086,b,3877,b)].
% 25.33/25.26  4087 c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),C) = c_times(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(956,a,944,b)].
% 25.33/25.26  Derived: c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),C) = c_times(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4087,b,3877,b)].
% 25.33/25.26  4088 c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(957,a,944,b)].
% 25.33/25.26  Derived: c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4088,b,3877,b)].
% 25.33/25.26  4089 -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),C) = c_minus(c_NatArith_Oof__nat(B,C),c_NatArith_Oof__nat(A,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(958,a,944,b)].
% 25.33/25.26  Derived: -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),C) = c_minus(c_NatArith_Oof__nat(B,C),c_NatArith_Oof__nat(A,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4089,c,3877,b)].
% 25.33/25.26  4090 -class_Power_Orecpower(A) | c_Nat_Opower(c_uminus(B,A),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) = c_Nat_Opower(B,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(959,b,944,b)].
% 25.33/25.26  Derived: -class_Power_Orecpower(A) | c_Nat_Opower(c_uminus(B,A),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) = c_Nat_Opower(B,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4090,c,3877,b)].
% 25.33/25.26  4091 -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_1 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(960,b,944,b)].
% 25.33/25.26  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_1 | -class_Ring__and__Field_Oordered__field(A).  [resolve(4091,d,3877,b)].
% 25.33/25.26  4092 -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(961,b,944,b)].
% 25.33/25.26  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_uminus(c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4092,d,3877,b)].
% 25.33/25.26  4093 -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_Nat_Opower(C,B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(962,b,944,b)].
% 25.33/25.26  Derived: -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_Nat_Opower(C,B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4093,d,3877,b)].
% 25.33/25.26  4094 -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_uminus(c_Nat_Opower(C,B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(963,b,944,b)].
% 25.33/25.26  Derived: -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_uminus(c_Nat_Opower(C,B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4094,d,3877,b)].
% 25.33/25.26  4095 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1067,b,944,b)].
% 25.33/25.26  4096 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1068,b,944,b)].
% 25.35/25.28  4097 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1087,a,1082,b)].
% 25.35/25.28  4098 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1118,a,1113,b)].
% 25.35/25.28  4099 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1161,b,1143,b)].
% 25.35/25.28  4100 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1163,b,1143,b)].
% 25.35/25.28  4101 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1164,c,1143,b)].
% 25.35/25.28  4102 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1165,b,1143,b)].
% 25.35/25.28  4103 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1166,c,1143,b)].
% 25.35/25.28  4104 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1167,c,1143,b)].
% 25.35/25.28  4105 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1168,c,1143,b)].
% 25.35/25.28  4106 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1169,c,1143,b)].
% 25.35/25.28  4107 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1170,c,1143,b)].
% 25.35/25.28  4108 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1171,c,1143,b)].
% 25.35/25.28  4109 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1172,b,1143,b)].
% 25.35/25.28  4110 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1185,a,1180,b)].
% 25.35/25.28  4111 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1186,a,1180,b)].
% 25.35/25.28  4112 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1187,a,1180,b)].
% 25.35/25.28  4113 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1188,a,1180,b)].
% 25.35/25.28  4114 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1189,a,1180,b)].
% 25.35/25.28  4115 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1190,a,1180,b)].
% 25.35/25.28  4116 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1191,a,1180,b)].
% 25.35/25.28  4117 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1192,a,1180,b)].
% 25.35/25.28  4118 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1193,a,1180,b)].
% 25.35/25.28  4119 c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1194,a,1180,b)].
% 25.35/25.28  4120 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1195,a,1180,b)].
% 25.35/25.30  4121 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1196,a,1180,b)].
% 25.35/25.30  4122 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1197,a,1180,b)].
% 25.35/25.30  4123 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1198,a,1180,b)].
% 25.35/25.30  4124 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1199,a,1180,b)].
% 25.35/25.30  4125 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1200,a,1180,b)].
% 25.35/25.30  4126 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1201,a,1180,b)].
% 25.35/25.30  4127 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1202,a,1180,b)].
% 25.35/25.30  4128 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1203,a,1180,b)].
% 25.35/25.30  4129 c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1204,a,1180,b)].
% 25.35/25.30  4130 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1205,a,1180,b)].
% 25.35/25.30  4131 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1206,a,1180,b)].
% 25.35/25.30  4132 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1207,a,1180,b)].
% 25.35/25.30  4133 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1208,b,1180,b)].
% 25.35/25.30  4134 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1209,b,1180,b)].
% 25.35/25.30  4135 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1210,a,1180,b)].
% 25.35/25.30  4136 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1211,a,1180,b)].
% 25.35/25.30  4137 -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1212,a,1180,b)].
% 25.35/25.30  4138 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1213,a,1180,b)].
% 25.35/25.30  4139 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1214,a,1180,b)].
% 25.35/25.30  4140 -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1215,a,1180,b)].
% 25.35/25.30  4141 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1216,a,1180,b)].
% 25.35/25.30  4142 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1217,a,1180,b)].
% 25.35/25.30  4143 -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1218,a,1180,b)].
% 25.38/25.32  4144 c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1219,a,1180,b)].
% 25.38/25.32  4145 c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1220,a,1180,b)].
% 25.38/25.32  4146 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1221,a,1180,b)].
% 25.38/25.32  4147 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1222,a,1180,b)].
% 25.38/25.32  4148 -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1223,a,1180,b)].
% 25.38/25.32  4149 c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1224,a,1180,b)].
% 25.38/25.32  4150 c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1225,a,1180,b)].
% 25.38/25.32  4151 c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1226,a,1180,b)].
% 25.38/25.32  4152 c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1227,a,1180,b)].
% 25.38/25.32  4153 c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1228,a,1180,b)].
% 25.38/25.32  4154 c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1229,a,1180,b)].
% 25.38/25.32  4155 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1230,a,1180,b)].
% 25.38/25.32  4156 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1231,a,1180,b)].
% 25.38/25.32  4157 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1232,a,1180,b)].
% 25.38/25.32  4158 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1233,a,1180,b)].
% 25.38/25.32  4159 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1234,a,1180,b)].
% 25.38/25.32  4160 -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1235,a,1180,b)].
% 25.38/25.32  4161 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1236,a,1180,b)].
% 25.38/25.32  4162 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1237,a,1180,b)].
% 25.38/25.32  4163 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1238,a,1180,b)].
% 25.38/25.32  4164 -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1239,a,1180,b)].
% 25.38/25.32  4165 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1240,a,1180,b)].
% 25.38/25.32  4166 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1241,a,1180,b)].
% 25.38/25.32  4167 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1242,a,1180,b)].
% 25.38/25.32  4168 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1362,a,1357,b)].
% 25.40/25.36  4169 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1363,a,1357,b)].
% 25.40/25.36  4170 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1364,a,1357,b)].
% 25.40/25.36  4171 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1365,a,1357,b)].
% 25.40/25.36  4172 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1366,a,1357,b)].
% 25.40/25.36  4173 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1367,a,1357,b)].
% 25.40/25.36  4174 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1368,a,1357,b)].
% 25.40/25.36  4175 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1369,a,1357,b)].
% 25.40/25.36  4176 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1385,b,1357,b)].
% 25.40/25.36  4177 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1386,b,1357,b)].
% 25.40/25.36  4178 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1388,b,1357,b)].
% 25.40/25.36  4179 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1389,c,1357,b)].
% 25.40/25.36  4180 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1390,b,1357,b)].
% 25.40/25.36  4181 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1391,c,1357,b)].
% 25.40/25.36  4182 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1392,c,1357,b)].
% 25.40/25.36  4183 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1393,c,1357,b)].
% 25.40/25.36  4184 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1394,c,1357,b)].
% 25.40/25.36  4185 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1395,c,1357,b)].
% 25.40/25.36  4186 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1396,c,1357,b)].
% 25.40/25.36  4187 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1397,b,1357,b)].
% 25.40/25.36  4188 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1398,c,1357,b)].
% 25.40/25.36  4189 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1399,c,1357,b)].
% 25.40/25.36  4190 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1498,b,1407,b)].
% 25.40/25.36  4191 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1499,b,1407,b)].
% 25.40/25.36  4192 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1523,b,1407,b)].
% 25.40/25.36  4193 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1631,b,1588,b)].
% 25.40/25.36  4194 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1632,b,1588,b)].
% 25.40/25.36  4195 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1633,c,1588,b)].
% 25.40/25.36  4196 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1634,b,1588,b)].
% 25.40/25.36  4197 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1635,c,1588,b)].
% 25.40/25.36  4198 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1636,c,1588,b)].
% 25.40/25.37  4199 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1637,c,1588,b)].
% 25.40/25.37  4200 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1638,c,1588,b)].
% 25.40/25.37  4201 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1639,c,1588,b)].
% 25.40/25.37  4202 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1640,c,1588,b)].
% 25.40/25.37  4203 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1641,b,1588,b)].
% 25.40/25.37  4204 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1642,b,1588,b)].
% 25.40/25.37  4205 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1643,c,1588,b)].
% 25.40/25.37  4206 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1644,c,1588,b)].
% 25.40/25.37  4207 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1645,b,1588,b)].
% 25.40/25.37  4208 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1646,b,1588,b)].
% 25.40/25.37  4209 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1706,e,1653,b)].
% 25.40/25.37  4210 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1707,d,1653,b)].
% 25.40/25.37  4211 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1708,d,1653,b)].
% 25.40/25.37  4212 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1709,f,1653,b)].
% 25.40/25.37  4213 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1710,e,1653,b)].
% 25.40/25.37  4214 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1711,e,1653,b)].
% 25.40/25.37  4215 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1712,f,1653,b)].
% 25.40/25.37  4216 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1713,e,1653,b)].
% 25.40/25.37  4217 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1714,e,1653,b)].
% 25.40/25.37  4218 c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1715,b,1653,b)].
% 25.40/25.37  4219 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1716,f,1653,b)].
% 25.40/25.37  4220 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1717,e,1653,b)].
% 25.40/25.39  4221 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1718,e,1653,b)].
% 25.40/25.39  4222 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1719,f,1653,b)].
% 25.40/25.39  4223 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1720,e,1653,b)].
% 25.40/25.39  4224 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1721,e,1653,b)].
% 25.40/25.39  4225 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1722,d,1653,b)].
% 25.40/25.39  4226 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1723,d,1653,b)].
% 25.40/25.39  4227 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1724,e,1653,b)].
% 25.40/25.39  4228 c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1725,b,1653,b)].
% 25.40/25.39  4229 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1726,d,1653,b)].
% 25.40/25.39  4230 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1727,e,1653,b)].
% 25.40/25.39  4231 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1728,e,1653,b)].
% 25.40/25.39  4232 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1729,d,1653,b)].
% 25.40/25.39  4233 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1730,d,1653,b)].
% 25.40/25.39  4234 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1731,c,1653,b)].
% 25.40/25.39  4235 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1732,c,1653,b)].
% 25.40/25.39  4236 -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1733,d,1653,b)].
% 25.40/25.39  4237 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1734,c,1653,b)].
% 25.40/25.39  4238 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1735,c,1653,b)].
% 25.40/25.39  4239 -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1736,d,1653,b)].
% 25.40/25.39  4240 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1737,c,1653,b)].
% 25.40/25.39  4241 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(1738,c,1653,b)].
% 25.40/25.39  4242 -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1739,d,1653,b)].
% 25.40/25.39  4243 c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1740,b,1653,b)].
% 25.40/25.40  4244 c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1741,b,1653,b)].
% 25.40/25.40  4245 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1742,c,1653,b)].
% 25.40/25.40  4246 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1743,c,1653,b)].
% 25.40/25.40  4247 -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1744,d,1653,b)].
% 25.40/25.40  4248 c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1745,b,1653,b)].
% 25.40/25.40  4249 c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1746,b,1653,b)].
% 25.40/25.40  4250 c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1747,b,1653,b)].
% 25.40/25.40  4251 c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1748,b,1653,b)].
% 25.40/25.40  4252 c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1749,b,1653,b)].
% 25.40/25.40  4253 c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1750,b,1653,b)].
% 25.40/25.40  4254 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1751,c,1653,b)].
% 25.40/25.40  4255 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1752,c,1653,b)].
% 25.40/25.40  4256 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1753,c,1653,b)].
% 25.40/25.40  4257 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1754,c,1653,b)].
% 25.40/25.40  4258 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1755,c,1653,b)].
% 25.40/25.40  4259 -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1756,c,1653,b)].
% 25.40/25.40  4260 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1757,d,1653,b)].
% 25.40/25.40  4261 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1758,d,1653,b)].
% 25.40/25.40  4262 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1759,c,1653,b)].
% 25.40/25.40  4263 -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1760,d,1653,b)].
% 25.40/25.40  4264 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1761,c,1653,b)].
% 25.40/25.40  4265 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1762,c,1653,b)].
% 25.40/25.40  4266 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1763,c,1653,b)].
% 25.40/25.40  4267 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1765,c,1653,b)].
% 25.40/25.40  4268 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1766,c,1653,b)].
% 25.49/25.42  4269 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1767,c,1653,b)].
% 25.49/25.42  4270 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1768,c,1653,b)].
% 25.49/25.42  4271 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1769,c,1653,b)].
% 25.49/25.42  4272 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1770,c,1653,b)].
% 25.49/25.42  4273 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1771,c,1653,b)].
% 25.49/25.42  4274 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1772,c,1653,b)].
% 25.49/25.42  4275 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1773,b,1653,b)].
% 25.49/25.42  4276 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1786,c,1653,b)].
% 25.49/25.42  4277 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1787,c,1653,b)].
% 25.49/25.42  4278 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1788,b,1653,b)].
% 25.49/25.42  4279 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1789,b,1653,b)].
% 25.49/25.42  4280 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1790,b,1653,b)].
% 25.49/25.42  4281 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1796,b,1653,b)].
% 25.49/25.42  4282 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1797,b,1653,b)].
% 25.49/25.42  4283 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1798,b,1653,b)].
% 25.49/25.42  4284 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1799,b,1653,b)].
% 25.49/25.42  4285 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1800,c,1653,b)].
% 25.49/25.42  4286 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1801,b,1653,b)].
% 25.49/25.42  4287 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1802,c,1653,b)].
% 25.49/25.42  4288 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1803,c,1653,b)].
% 25.49/25.42  4289 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1804,c,1653,b)].
% 25.49/25.42  4290 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1805,c,1653,b)].
% 25.49/25.42  4291 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1806,c,1653,b)].
% 25.49/25.42  4292 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(1807,c,1653,b)].
% 25.49/25.42  4293 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1808,b,1653,b)].
% 25.49/25.42  4294 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1809,b,1653,b)].
% 25.49/25.42  4295 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1810,c,1653,b)].
% 25.49/25.42  4296 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1811,c,1653,b)].
% 25.49/25.42  4297 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1812,b,1653,b)].
% 25.49/25.46  4298 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(1813,b,1653,b)].
% 25.49/25.46  4299 class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(1955,b,1876,b)].
% 25.49/25.46  4300 -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2233,a,2231,b)].
% 25.49/25.46  4301 -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2234,a,2231,b)].
% 25.49/25.46  4302 c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2235,a,2231,b)].
% 25.49/25.46  4303 c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2236,a,2231,b)].
% 25.49/25.46  4304 c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2237,a,2231,b)].
% 25.49/25.46  4305 c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2238,a,2231,b)].
% 25.49/25.46  4306 c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2239,a,2231,b)].
% 25.49/25.46  4307 c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2240,a,2231,b)].
% 25.49/25.46  4308 c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2241,a,2231,b)].
% 25.49/25.46  4309 -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2242,a,2231,b)].
% 25.49/25.46  4310 -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2243,a,2231,b)].
% 25.49/25.46  4311 c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2244,a,2231,b)].
% 25.49/25.46  4312 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2245,a,2231,b)].
% 25.49/25.46  4313 c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2246,a,2231,b)].
% 25.49/25.46  4314 -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2247,a,2231,b)].
% 25.49/25.46  4315 -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2248,a,2231,b)].
% 25.49/25.46  4316 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2249,a,2231,b)].
% 25.49/25.46  4317 -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2250,a,2231,b)].
% 25.49/25.46  4318 -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2251,a,2231,b)].
% 25.49/25.46  4319 c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2252,a,2231,b)].
% 25.49/25.46  4320 class_OrderedGroup_Opordered__ab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2321,a,2316,b)].
% 25.49/25.46  4321 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2356,b,2316,b)].
% 25.49/25.46  4322 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2414,a,2424,b)].
% 25.49/25.46  4323 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2429,a,2424,b)].
% 25.49/25.46  4324 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2430,a,2424,b)].
% 25.49/25.46  4325 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2431,a,2424,b)].
% 25.49/25.46  4326 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2432,a,2424,b)].
% 25.49/25.46  4327 -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2433,a,2424,b)].
% 25.56/25.50  4328 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2434,a,2424,b)].
% 25.56/25.50  4329 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2435,a,2424,b)].
% 25.56/25.50  4330 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2436,a,2424,b)].
% 25.56/25.50  4331 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2437,a,2424,b)].
% 25.56/25.50  4332 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2438,a,2424,b)].
% 25.56/25.50  4333 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2439,a,2424,b)].
% 25.56/25.50  4334 -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2440,a,2424,b)].
% 25.56/25.50  4335 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2441,a,2424,b)].
% 25.56/25.50  4336 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(2442,a,2424,b)].
% 25.56/25.50  4337 -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2443,a,2424,b)].
% 25.56/25.50  4338 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2444,a,2424,b)].
% 25.56/25.50  4339 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2445,a,2424,b)].
% 25.56/25.50  4340 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2446,a,2424,b)].
% 25.56/25.50  4341 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2447,a,2424,b)].
% 25.56/25.50  4342 c_0 != c_HOL_Oabs(A,B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2517,a,2515,b)].
% 25.56/25.50  4343 c_0 = c_HOL_Oabs(c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2518,a,2515,b)].
% 25.56/25.50  4344 c_HOL_Oabs(c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B),B) = c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2519,a,2515,b)].
% 25.56/25.50  4345 c_HOL_Oabs(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2520,a,2515,b)].
% 25.56/25.50  4346 c_HOL_Oabs(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2521,a,2515,b)].
% 25.56/25.50  4347 c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2522,a,2515,b)].
% 25.56/25.50  4348 c_HOL_Oabs(c_HOL_Oabs(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2523,a,2515,b)].
% 25.56/25.50  4349 -c_lessequals(c_HOL_Oabs(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2524,a,2515,b)].
% 25.56/25.50  4350 c_lessequals(c_HOL_Oabs(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2525,a,2515,b)].
% 25.56/25.50  4351 c_HOL_Oabs(c_uminus(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2526,a,2515,b)].
% 25.56/25.50  4352 -c_less(c_HOL_Oabs(A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2527,a,2515,b)].
% 25.56/25.50  4353 -c_lessequals(c_0,A,B) | c_HOL_Oabs(A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2528,a,2515,b)].
% 25.56/25.50  4354 -c_lessequals(A,c_0,B) | c_HOL_Oabs(A,B) = c_uminus(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2529,a,2515,b)].
% 25.56/25.50  4355 -c_less(c_0,c_HOL_Oabs(c_0,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2530,a,2515,b)].
% 25.56/25.50  4356 c_less(c_0,c_HOL_Oabs(A,B),B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2531,a,2515,b)].
% 25.56/25.50  4357 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2973,b,2849,b)].
% 25.56/25.50  4358 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2975,c,2849,b)].
% 25.56/25.51  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_minus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4358,c,3876,a)].
% 25.56/25.51  Derived: -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4358,c,3877,b)].
% 25.56/25.51  4359 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2976,c,2849,b)].
% 25.56/25.51  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_minus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_minus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4359,c,3876,a)].
% 25.56/25.51  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4359,c,3877,b)].
% 25.56/25.51  4360 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2977,b,2849,b)].
% 25.56/25.51  Derived: c_times(c_uminus(A,tc_IntDef_Oint),c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint) = c_times(A,B,tc_IntDef_Oint).  [resolve(4360,b,3876,a)].
% 25.56/25.51  Derived: c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4360,b,3877,b)].
% 25.56/25.51  4361 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2978,b,2849,b)].
% 25.56/25.51  Derived: c_times(c_uminus(A,tc_IntDef_Oint),B,tc_IntDef_Oint) = c_uminus(c_times(A,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4361,b,3876,a)].
% 25.56/25.51  Derived: c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4361,b,3877,b)].
% 25.56/25.51  4362 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2979,b,2849,b)].
% 25.56/25.51  Derived: c_times(A,c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint) = c_uminus(c_times(A,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4362,b,3876,a)].
% 25.56/25.51  Derived: c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4362,b,3877,b)].
% 25.56/25.51  4363 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2980,b,2849,b)].
% 25.56/25.51  4364 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2981,b,2849,b)].
% 25.56/25.51  4365 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2982,c,2849,b)].
% 25.56/25.51  4366 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2983,c,2849,b)].
% 25.56/25.51  4367 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2984,c,2849,b)].
% 25.56/25.51  4368 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2985,c,2849,b)].
% 25.56/25.51  4369 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2986,c,2849,b)].
% 25.56/25.51  4370 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2987,c,2849,b)].
% 25.56/25.51  4371 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2988,c,2849,b)].
% 25.56/25.51  4372 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2989,c,2849,b)].
% 25.56/25.51  4373 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(2990,b,2849,b)].
% 25.56/25.53  4374 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2991,c,2849,b)].
% 25.56/25.53  4375 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2992,c,2849,b)].
% 25.56/25.53  4376 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2993,b,2849,b)].
% 25.56/25.53  4377 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2994,b,2849,b)].
% 25.56/25.53  4378 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2995,c,2849,b)].
% 25.56/25.53  4379 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2996,b,2849,b)].
% 25.56/25.53  4380 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2997,c,2849,b)].
% 25.56/25.53  4381 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(2998,c,2849,b)].
% 25.56/25.53  4382 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(2999,c,2849,b)].
% 25.56/25.53  4383 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3000,c,2849,b)].
% 25.56/25.53  4384 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3001,c,2849,b)].
% 25.56/25.53  4385 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3002,c,2849,b)].
% 25.56/25.53  4386 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3003,b,2849,b)].
% 25.56/25.53  4387 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3004,b,2849,b)].
% 25.56/25.53  4388 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3005,c,2849,b)].
% 25.56/25.53  4389 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3006,c,2849,b)].
% 25.56/25.53  4390 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3007,b,2849,b)].
% 25.56/25.53  4391 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3008,b,2849,b)].
% 25.56/25.53  4392 -class_Numeral_Onumber(A) | -c_less(c_0,c_Numeral_Onumber__of(B,A),A) | -c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(C,D,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3052,b,3047,b)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(4392,e,3876,a)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(A) | -c_less(c_0,c_Numeral_Onumber__of(B,A),A) | -c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(C,D,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4392,e,3877,b)].
% 25.56/25.53  4393 -class_Numeral_Onumber(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | -c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(D,C,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3053,b,3047,b)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | -c_lessequals(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint).  [resolve(4393,e,3876,a)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | -c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(D,C,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4393,e,3877,b)].
% 25.56/25.53  4394 -class_Numeral_Onumber(A) | c_less(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3054,b,3047,b)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_less(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4394,e,3876,a)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(A) | c_less(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_lessequals(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4394,e,3877,b)].
% 25.56/25.53  4395 -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_0,c_Numeral_Onumber__of(D,A),A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3055,b,3047,b)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_lessequals(A,B,tc_IntDef_Oint) | c_less(c_0,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4395,e,3876,a)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_0,c_Numeral_Onumber__of(D,A),A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4395,e,3877,b)].
% 25.56/25.53  4396 -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_Numeral_Onumber__of(D,A),c_0,A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),B,A),c_times(c_Numeral_Onumber__of(D,A),C,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3056,b,3047,b)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_lessequals(A,B,tc_IntDef_Oint) | c_less(c_Numeral_Onumber__of(C,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),A,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4396,e,3876,a)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_Numeral_Onumber__of(D,A),c_0,A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),B,A),c_times(c_Numeral_Onumber__of(D,A),C,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4396,e,3877,b)].
% 25.56/25.53  4397 -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | -c_lessequals(C,B,A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3057,b,3047,b)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(B,A,tc_IntDef_Oint) | c_lessequals(c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4397,e,3876,a)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | -c_lessequals(C,B,A) | c_lessequals(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4397,e,3877,b)].
% 25.56/25.53  4398 -class_Numeral_Onumber(A) | -c_less(c_0,c_Numeral_Onumber__of(B,A),A) | -c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | c_lessequals(C,D,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3058,b,3047,b)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_times(B,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint),c_times(C,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(4398,e,3876,a)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(A) | -c_less(c_0,c_Numeral_Onumber__of(B,A),A) | -c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | c_lessequals(C,D,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4398,e,3877,b)].
% 25.56/25.53  4399 -class_Numeral_Onumber(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | -c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | c_lessequals(D,C,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3059,b,3047,b)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | -c_lessequals(c_times(B,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint),c_times(C,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint).  [resolve(4399,e,3876,a)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(A) | -c_less(c_Numeral_Onumber__of(B,A),c_0,A) | -c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | c_lessequals(D,C,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4399,e,3877,b)].
% 25.56/25.53  4400 -class_Numeral_Onumber(A) | c_less(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3060,b,3047,b)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_less(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(c_times(B,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint),c_times(C,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4400,e,3876,a)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(A) | c_less(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(c_Numeral_Onumber__of(B,A),c_0,A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(B,A),A),c_times(D,c_Numeral_Onumber__of(B,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4400,e,3877,b)].
% 25.56/25.53  4401 -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_0,c_Numeral_Onumber__of(D,A),A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3061,b,3047,b)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_lessequals(A,B,tc_IntDef_Oint) | c_less(c_0,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4401,e,3876,a)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_0,c_Numeral_Onumber__of(D,A),A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4401,e,3877,b)].
% 25.56/25.53  4402 -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_Numeral_Onumber__of(D,A),c_0,A) | c_lessequals(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3062,b,3047,b)].
% 25.56/25.53  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_lessequals(A,B,tc_IntDef_Oint) | c_less(c_Numeral_Onumber__of(C,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4402,e,3876,a)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | c_less(c_Numeral_Onumber__of(D,A),c_0,A) | c_lessequals(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4402,e,3877,b)].
% 25.56/25.54  4403 -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | -c_lessequals(C,B,A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3063,b,3047,b)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(B,A,tc_IntDef_Oint) | c_lessequals(c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4403,e,3876,a)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(A) | -c_lessequals(B,C,A) | -c_lessequals(C,B,A) | c_lessequals(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4403,e,3877,b)].
% 25.56/25.54  4404 -class_Numeral_Onumber(A) | -c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(C,D,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3064,b,3047,b)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,C,tc_IntDef_Oint).  [resolve(4404,e,3876,a)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(A) | -c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) | c_less(C,D,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4404,e,3877,b)].
% 25.56/25.54  4405 -class_Numeral_Onumber(A) | -c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) | c_less(D,C,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3065,b,3047,b)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_less(C,B,tc_IntDef_Oint).  [resolve(4405,e,3876,a)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(A) | -c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) | c_less(D,C,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4405,e,3877,b)].
% 25.56/25.54  4406 -class_Numeral_Onumber(A) | c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) | c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3066,b,3047,b)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_less(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,c_Numeral_Onumber__of(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(4406,e,3876,a)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(A) | c_less(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(B,A),A) | c_lessequals(c_Numeral_Onumber__of(B,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4406,e,3877,b)].
% 25.56/25.54  4407 -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3067,b,3047,b)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(A,B,tc_IntDef_Oint) | c_less(c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4407,e,3876,a)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4407,e,3877,b)].
% 25.56/25.54  4408 -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),B,A),c_times(c_Numeral_Onumber__of(D,A),C,A),A) | c_lessequals(c_Numeral_Onumber__of(D,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3068,b,3047,b)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(A,B,tc_IntDef_Oint) | c_less(c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),A,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_Numeral_Onumber__of(C,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(4408,e,3876,a)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),B,A),c_times(c_Numeral_Onumber__of(D,A),C,A),A) | c_lessequals(c_Numeral_Onumber__of(D,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4408,e,3877,b)].
% 25.56/25.54  4409 -class_Numeral_Onumber(A) | -c_less(B,C,A) | -c_less(C,B,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3069,b,3047,b)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(A,B,tc_IntDef_Oint) | -c_less(B,A,tc_IntDef_Oint) | c_less(c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(C,tc_IntDef_Oint),A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4409,e,3876,a)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | -c_less(C,B,A) | c_less(c_times(c_Numeral_Onumber__of(D,A),C,A),c_times(c_Numeral_Onumber__of(D,A),B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4409,e,3877,b)].
% 25.56/25.54  4410 -class_Numeral_Onumber(A) | -c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | -c_lessequals(c_0,c_Numeral_Onumber__of(C,A),A) | c_less(B,D,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3070,b,3047,b)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_times(A,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint),c_times(C,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_0,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(4410,e,3876,a)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(A) | -c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | -c_lessequals(c_0,c_Numeral_Onumber__of(C,A),A) | c_less(B,D,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4410,e,3877,b)].
% 25.56/25.54  4411 -class_Numeral_Onumber(A) | -c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | -c_lessequals(c_Numeral_Onumber__of(C,A),c_0,A) | c_less(D,B,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3071,b,3047,b)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(c_times(A,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint),c_times(C,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | -c_lessequals(c_Numeral_Onumber__of(B,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_less(C,A,tc_IntDef_Oint).  [resolve(4411,e,3876,a)].
% 25.56/25.54  Derived: -class_Numeral_Onumber(A) | -c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | -c_lessequals(c_Numeral_Onumber__of(C,A),c_0,A) | c_less(D,B,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4411,e,3877,b)].
% 25.56/25.54  4412 -class_Numeral_Onumber(A) | c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(C,A),A) | c_lessequals(c_Numeral_Onumber__of(C,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3072,b,3047,b)].
% 25.56/25.55  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_less(c_times(A,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint),c_times(C,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,c_Numeral_Onumber__of(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_Numeral_Onumber__of(B,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(4412,e,3876,a)].
% 25.56/25.55  Derived: -class_Numeral_Onumber(A) | c_less(c_times(B,c_Numeral_Onumber__of(C,A),A),c_times(D,c_Numeral_Onumber__of(C,A),A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(C,A),A) | c_lessequals(c_Numeral_Onumber__of(C,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4412,e,3877,b)].
% 25.56/25.55  4413 -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3073,b,3047,b)].
% 25.56/25.55  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(A,B,tc_IntDef_Oint) | c_less(c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4413,e,3876,a)].
% 25.56/25.55  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | c_lessequals(c_0,c_Numeral_Onumber__of(D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4413,e,3877,b)].
% 25.56/25.55  4414 -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | c_lessequals(c_Numeral_Onumber__of(D,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3074,b,3047,b)].
% 25.56/25.55  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(A,B,tc_IntDef_Oint) | c_less(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_Numeral_Onumber__of(C,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(4414,e,3876,a)].
% 25.56/25.55  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | c_less(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | c_lessequals(c_Numeral_Onumber__of(D,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4414,e,3877,b)].
% 25.56/25.55  4415 -class_Numeral_Onumber(A) | -c_less(B,C,A) | -c_less(C,B,A) | c_less(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3075,b,3047,b)].
% 25.56/25.55  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | -c_less(A,B,tc_IntDef_Oint) | -c_less(B,A,tc_IntDef_Oint) | c_less(c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4415,e,3876,a)].
% 25.56/25.55  Derived: -class_Numeral_Onumber(A) | -c_less(B,C,A) | -c_less(C,B,A) | c_less(c_times(C,c_Numeral_Onumber__of(D,A),A),c_times(B,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4415,e,3877,b)].
% 25.56/25.55  4416 c_times(A,B,C) != c_0 | B = c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3076,a,3047,b)].
% 25.56/25.55  Derived: c_times(A,B,tc_IntDef_Oint) != c_0 | B = c_0 | A = c_0.  [resolve(4416,d,3876,a)].
% 25.56/25.55  Derived: c_times(A,B,C) != c_0 | B = c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(C).  [resolve(4416,d,3877,b)].
% 25.56/25.55  4417 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3239,e,3047,b)].
% 25.56/25.55  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_lessequals(A,c_Finite__Set_OMax(B,tc_IntDef_Oint),tc_IntDef_Oint) | B = c_emptyset.  [resolve(4417,e,3876,a)].
% 25.56/25.55  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(4417,e,3877,b)].
% 25.56/25.56  4418 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3240,d,3047,b)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Finite__Set_OMax(A,tc_IntDef_Oint),A,tc_IntDef_Oint) | A = c_emptyset.  [resolve(4418,d,3876,a)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(4418,d,3877,b)].
% 25.56/25.56  4419 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3241,d,3047,b)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(B,A,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omax(B,c_Finite__Set_OMax(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4419,d,3876,a)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4419,d,3877,b)].
% 25.56/25.56  4420 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3242,f,3047,b)].
% 25.56/25.56  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(c_Finite__Set_OMax(B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint) | B = c_emptyset.  [resolve(4420,f,3876,a)].
% 25.56/25.56  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(4420,f,3877,b)].
% 25.56/25.56  4421 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3243,e,3047,b)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMax__le__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(4421,e,3876,a)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(4421,e,3877,b)].
% 25.56/25.56  4422 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3244,e,3047,b)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(c_Main_OMax__le__iff__1(A,B,tc_IntDef_Oint),B,tc_IntDef_Oint) | c_lessequals(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(4422,e,3876,a)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(4422,e,3877,b)].
% 25.56/25.56  4423 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3245,f,3047,b)].
% 25.56/25.56  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(c_Finite__Set_OMax(B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint) | B = c_emptyset.  [resolve(4423,f,3876,a)].
% 25.56/25.56  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(4423,f,3877,b)].
% 25.56/25.56  4424 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3246,e,3047,b)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMax__less__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(4424,e,3876,a)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(4424,e,3877,b)].
% 25.56/25.56  4425 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3247,e,3047,b)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(c_Main_OMax__less__iff__1(A,B,tc_IntDef_Oint),B,tc_IntDef_Oint) | c_less(c_Finite__Set_OMax(A,tc_IntDef_Oint),B,tc_IntDef_Oint) | A = c_emptyset.  [resolve(4425,e,3876,a)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(4425,e,3877,b)].
% 25.56/25.56  4426 c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3248,b,3047,b)].
% 25.56/25.56  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(4426,b,3876,a)].
% 25.56/25.56  Derived: c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4426,b,3877,b)].
% 25.56/25.56  4427 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3249,f,3047,b)].
% 25.56/25.56  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(C,c_Finite__Set_OMin(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(C,A,tc_IntDef_Oint) | B = c_emptyset.  [resolve(4427,f,3876,a)].
% 25.56/25.56  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(4427,f,3877,b)].
% 25.56/25.56  4428 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3250,e,3047,b)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMin__ge__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_lessequals(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(4428,e,3876,a)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(4428,e,3877,b)].
% 25.56/25.56  4429 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3251,e,3047,b)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_lessequals(B,c_Main_OMin__ge__iff__1(A,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(4429,e,3876,a)].
% 25.56/25.56  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(4429,e,3877,b)].
% 25.56/25.56  4430 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3252,f,3047,b)].
% 25.56/25.57  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(C,c_Finite__Set_OMin(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(C,A,tc_IntDef_Oint) | B = c_emptyset.  [resolve(4430,f,3876,a)].
% 25.56/25.57  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(4430,f,3877,b)].
% 25.56/25.57  4431 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3253,e,3047,b)].
% 25.56/25.57  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Main_OMin__gr__iff__1(A,B,tc_IntDef_Oint),A,tc_IntDef_Oint) | c_less(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(4431,e,3876,a)].
% 25.56/25.57  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(4431,e,3877,b)].
% 25.56/25.57  4432 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3254,e,3047,b)].
% 25.56/25.57  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | -c_less(B,c_Main_OMin__gr__iff__1(A,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(4432,e,3876,a)].
% 25.56/25.57  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(4432,e,3877,b)].
% 25.56/25.57  4433 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3255,d,3047,b)].
% 25.56/25.57  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_in(c_Finite__Set_OMin(A,tc_IntDef_Oint),A,tc_IntDef_Oint) | A = c_emptyset.  [resolve(4433,d,3876,a)].
% 25.56/25.57  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(4433,d,3877,b)].
% 25.56/25.57  4434 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3256,d,3047,b)].
% 25.56/25.57  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(B,A,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omin(B,c_Finite__Set_OMin(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4434,d,3876,a)].
% 25.56/25.57  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4434,d,3877,b)].
% 25.56/25.57  4435 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3257,e,3047,b)].
% 25.56/25.57  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_lessequals(c_Finite__Set_OMin(B,tc_IntDef_Oint),A,tc_IntDef_Oint) | B = c_emptyset.  [resolve(4435,e,3876,a)].
% 25.56/25.57  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(4435,e,3877,b)].
% 25.56/25.57  4436 c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3258,b,3047,b)].
% 25.56/25.57  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(4436,b,3876,a)].
% 25.56/25.57  Derived: c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4436,b,3877,b)].
% 25.56/25.57  4437 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3259,d,3047,b)].
% 25.56/25.57  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | c_lessequals(c_Finite__Set_OMin(A,tc_IntDef_Oint),c_Finite__Set_OMax(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_emptyset.  [resolve(4437,d,3876,a)].
% 25.56/25.57  Derived: -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Ring__and__Field_Oordered__field(B).  [resolve(4437,d,3877,b)].
% 25.56/25.57  4438 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3260,e,3047,b)].
% 25.56/25.57  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(4438,e,3876,a)].
% 25.56/25.57  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Ring__and__Field_Oordered__field(C).  [resolve(4438,e,3877,b)].
% 25.56/25.57  4439 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3261,e,3047,b)].
% 25.56/25.57  Derived: -c_in(A,B,tc_IntDef_Oint) | -c_in(B,c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,tc_IntDef_Oint),tc_IntDef_Oint) = A.  [resolve(4439,e,3876,a)].
% 25.56/25.57  Derived: -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Ring__and__Field_Oordered__field(C).  [resolve(4439,e,3877,b)].
% 25.56/25.57  4440 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3262,d,3047,b)].
% 25.56/25.57  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_less(A,c_0,tc_IntDef_Oint).  [resolve(4440,d,3876,a)].
% 25.56/25.57  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4440,d,3877,b)].
% 25.56/25.57  4441 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3263,d,3047,b)].
% 25.56/25.57  Derived: -class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) | -c_less(A,c_0,tc_IntDef_Oint) | c_less(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(4441,d,3876,a)].
% 25.56/25.57  Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4441,d,3877,b)].
% 25.56/25.57  4442 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3264,c,3047,b)].
% 25.56/25.57  Derived: -c_less(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(4442,c,3876,a)].
% 25.56/25.57  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4442,c,3877,b)].
% 25.56/25.57  4443 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3265,c,3047,b)].
% 25.56/25.57  Derived: -c_less(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_less(B,C,tc_IntDef_Oint).  [resolve(4443,c,3876,a)].
% 25.56/25.57  Derived: -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4443,c,3877,b)].
% 25.56/25.57  4444 -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3266,d,3047,b)].
% 25.56/25.57  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_less(C,B,tc_IntDef_Oint) | c_less(c_Orderings_Omax(C,A,tc_IntDef_Oint),B,tc_IntDef_Oint).  [resolve(4444,d,3876,a)].
% 25.56/25.57  Derived: -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4444,d,3877,b)].
% 25.66/25.58  4445 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3267,c,3047,b)].
% 25.66/25.58  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint).  [resolve(4445,c,3876,a)].
% 25.66/25.58  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4445,c,3877,b)].
% 25.66/25.58  4446 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3268,c,3047,b)].
% 25.66/25.58  Derived: -c_less(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(4446,c,3876,a)].
% 25.66/25.58  Derived: -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4446,c,3877,b)].
% 25.66/25.58  4447 -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3269,d,3047,b)].
% 25.66/25.58  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_less(A,C,tc_IntDef_Oint) | c_less(A,c_Orderings_Omin(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4447,d,3876,a)].
% 25.66/25.58  Derived: -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4447,d,3877,b)].
% 25.66/25.58  4448 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3270,c,3047,b)].
% 25.66/25.58  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(4448,c,3876,a)].
% 25.66/25.58  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4448,c,3877,b)].
% 25.66/25.58  4449 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3271,c,3047,b)].
% 25.66/25.58  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(4449,c,3876,a)].
% 25.66/25.58  Derived: -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4449,c,3877,b)].
% 25.66/25.58  4450 -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3272,d,3047,b)].
% 25.66/25.58  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(A,C,tc_IntDef_Oint) | c_lessequals(A,c_Orderings_Omin(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4450,d,3876,a)].
% 25.66/25.58  Derived: -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4450,d,3877,b)].
% 25.66/25.58  4451 c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3273,b,3047,b)].
% 25.66/25.58  Derived: c_Orderings_Omin(A,A,tc_IntDef_Oint) = A.  [resolve(4451,b,3876,a)].
% 25.66/25.58  Derived: c_Orderings_Omin(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4451,b,3877,b)].
% 25.66/25.58  4452 c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3274,b,3047,b)].
% 25.66/25.58  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omin(A,B,tc_IntDef_Oint).  [resolve(4452,b,3876,a)].
% 25.66/25.58  Derived: c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4452,b,3877,b)].
% 25.66/25.58  4453 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3275,c,3047,b)].
% 25.66/25.58  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(4453,c,3876,a)].
% 25.66/25.58  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4453,c,3877,b)].
% 25.66/25.58  4454 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3276,c,3047,b)].
% 25.66/25.58  Derived: -c_lessequals(c_Orderings_Omax(A,B,tc_IntDef_Oint),C,tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(4454,c,3876,a)].
% 25.66/25.58  Derived: -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4454,c,3877,b)].
% 25.66/25.58  4455 -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3277,d,3047,b)].
% 25.66/25.58  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,B,tc_IntDef_Oint) | c_lessequals(c_Orderings_Omax(C,A,tc_IntDef_Oint),B,tc_IntDef_Oint).  [resolve(4455,d,3876,a)].
% 25.66/25.58  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4455,d,3877,b)].
% 25.66/25.58  4456 c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3278,b,3047,b)].
% 25.66/25.58  Derived: c_Orderings_Omax(A,A,tc_IntDef_Oint) = A.  [resolve(4456,b,3876,a)].
% 25.66/25.58  Derived: c_Orderings_Omax(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4456,b,3877,b)].
% 25.66/25.58  4457 c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3279,b,3047,b)].
% 25.66/25.58  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_Orderings_Omax(A,B,tc_IntDef_Oint).  [resolve(4457,b,3876,a)].
% 25.66/25.58  Derived: c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4457,b,3877,b)].
% 25.66/25.58  4458 c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3280,b,3047,b)].
% 25.66/25.58  Derived: c_uminus(c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OlessThan(A,tc_IntDef_Oint).  [resolve(4458,b,3876,a)].
% 25.66/25.58  Derived: c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4458,b,3877,b)].
% 25.66/25.58  4459 c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3281,b,3047,b)].
% 25.66/25.58  Derived: c_uminus(c_SetInterval_OatMost(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OgreaterThan(A,tc_IntDef_Oint).  [resolve(4459,b,3876,a)].
% 25.66/25.58  Derived: c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4459,b,3877,b)].
% 25.66/25.58  4460 c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3282,b,3047,b)].
% 25.66/25.58  Derived: c_uminus(c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OatMost(A,tc_IntDef_Oint).  [resolve(4460,b,3876,a)].
% 25.66/25.58  Derived: c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4460,b,3877,b)].
% 25.66/25.58  4461 c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3283,b,3047,b)].
% 25.66/25.58  Derived: c_uminus(c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OatLeast(A,tc_IntDef_Oint).  [resolve(4461,b,3876,a)].
% 25.66/25.58  Derived: c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4461,b,3877,b)].
% 25.66/25.58  4462 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3284,c,3047,b)].
% 25.66/25.58  Derived: c_SetInterval_OatLeast(A,tc_IntDef_Oint) != c_SetInterval_OatLeast(B,tc_IntDef_Oint) | A = B.  [resolve(4462,c,3876,a)].
% 25.66/25.58  Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(4462,c,3877,b)].
% 25.66/25.58  4463 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3285,c,3047,b)].
% 25.66/25.58  Derived: c_SetInterval_OatMost(A,tc_IntDef_Oint) != c_SetInterval_OatMost(B,tc_IntDef_Oint) | A = B.  [resolve(4463,c,3876,a)].
% 25.66/25.58  Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(4463,c,3877,b)].
% 25.66/25.59  4464 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3286,c,3047,b)].
% 25.66/25.59  Derived: c_SetInterval_OgreaterThan(A,tc_IntDef_Oint) != c_SetInterval_OgreaterThan(B,tc_IntDef_Oint) | A = B.  [resolve(4464,c,3876,a)].
% 25.66/25.59  Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(4464,c,3877,b)].
% 25.66/25.59  4465 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3287,c,3047,b)].
% 25.66/25.59  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(4465,c,3876,a)].
% 25.66/25.59  Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4465,c,3877,b)].
% 25.66/25.59  4466 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3288,c,3047,b)].
% 25.66/25.59  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(4466,c,3876,a)].
% 25.66/25.59  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4466,c,3877,b)].
% 25.66/25.59  4467 -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3289,c,3047,b)].
% 25.66/25.59  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_minus(c_SetInterval_OatLeastLessThan(A,C,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(A,B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_SetInterval_OatLeastLessThan(B,C,tc_IntDef_Oint).  [resolve(4467,c,3876,a)].
% 25.66/25.59  Derived: -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4467,c,3877,b)].
% 25.66/25.59  4468 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3290,d,3047,b)].
% 25.66/25.59  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,D,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(4468,d,3876,a)].
% 25.66/25.59  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4468,d,3877,b)].
% 25.66/25.59  4469 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3291,d,3047,b)].
% 25.66/25.59  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,D,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,D,tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(4469,d,3876,a)].
% 25.66/25.59  Derived: -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4469,d,3877,b)].
% 25.66/25.59  4470 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3292,c,3047,b)].
% 25.66/25.59  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,D,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(4470,c,3876,a)].
% 25.66/25.60  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4470,c,3877,b)].
% 25.66/25.60  4471 -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3293,d,3047,b)].
% 25.66/25.60  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,D,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeastLessThan(D,A,tc_IntDef_Oint),c_SetInterval_OatLeastLessThan(C,B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(4471,d,3876,a)].
% 25.66/25.60  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4471,d,3877,b)].
% 25.66/25.60  4472 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3294,c,3047,b)].
% 25.66/25.60  Derived: c_SetInterval_OlessThan(A,tc_IntDef_Oint) != c_SetInterval_OlessThan(B,tc_IntDef_Oint) | A = B.  [resolve(4472,c,3876,a)].
% 25.66/25.60  Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(4472,c,3877,b)].
% 25.66/25.60  4473 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3295,c,3047,b)].
% 25.66/25.60  Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(4473,c,3876,a)].
% 25.66/25.60  Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4473,c,3877,b)].
% 25.66/25.60  4474 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3296,c,3047,b)].
% 25.66/25.60  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(4474,c,3876,a)].
% 25.66/25.60  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4474,c,3877,b)].
% 25.66/25.60  4475 c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3308,b,3047,b)].
% 25.66/25.60  Derived: c_LOrder_Omeet(A,A,tc_IntDef_Oint) = A.  [resolve(4475,b,3876,a)].
% 25.66/25.60  Derived: c_LOrder_Omeet(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4475,b,3877,b)].
% 25.66/25.60  4476 c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3309,b,3047,b)].
% 25.66/25.60  Derived: c_LOrder_Ojoin(A,A,tc_IntDef_Oint) = A.  [resolve(4476,b,3876,a)].
% 25.66/25.60  Derived: c_LOrder_Ojoin(A,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4476,b,3877,b)].
% 25.66/25.60  4477 -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3329,c,3047,b)].
% 25.66/25.60  Derived: -c_lessequals(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | c_lessequals(A,c_0,tc_IntDef_Oint).  [resolve(4477,c,3876,a)].
% 25.66/25.60  Derived: -c_lessequals(c_plus(A,A,B),c_0,B) | c_lessequals(A,c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4477,c,3877,b)].
% 25.66/25.60  4478 -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3330,c,3047,b)].
% 25.66/25.60  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_lessequals(c_plus(A,A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(4478,c,3876,a)].
% 25.66/25.60  Derived: -c_lessequals(A,c_0,B) | c_lessequals(c_plus(A,A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4478,c,3877,b)].
% 25.66/25.60  4479 c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3331,c,3047,b)].
% 25.68/25.60  Derived: c_LOrder_Ojoin(A,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(4479,c,3876,a)].
% 25.68/25.60  Derived: c_LOrder_Ojoin(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4479,c,3877,b)].
% 25.68/25.60  4480 c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3332,b,3047,b)].
% 25.68/25.60  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint) = c_0.  [resolve(4480,b,3876,a)].
% 25.68/25.60  Derived: c_LOrder_Ojoin(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(4480,b,3877,b)].
% 25.68/25.60  4481 c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3333,c,3047,b)].
% 25.68/25.60  Derived: c_LOrder_Omeet(A,c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(4481,c,3876,a)].
% 25.68/25.60  Derived: c_LOrder_Omeet(A,c_uminus(A,B),B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4481,c,3877,b)].
% 25.68/25.60  4482 c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3334,b,3047,b)].
% 25.68/25.60  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,tc_IntDef_Oint),tc_IntDef_Oint) = c_0.  [resolve(4482,b,3876,a)].
% 25.68/25.60  Derived: c_LOrder_Omeet(c_0,c_uminus(c_0,A),A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(4482,b,3877,b)].
% 25.68/25.60  4483 c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3335,b,3047,b)].
% 25.68/25.60  Derived: c_uminus(c_LOrder_Ojoin(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_LOrder_Omeet(c_uminus(A,tc_IntDef_Oint),c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4483,b,3876,a)].
% 25.68/25.60  Derived: c_uminus(c_LOrder_Ojoin(A,B,C),C) = c_LOrder_Omeet(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4483,b,3877,b)].
% 25.68/25.60  4484 c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3336,b,3047,b)].
% 25.68/25.60  Derived: c_uminus(c_LOrder_Omeet(A,B,tc_IntDef_Oint),tc_IntDef_Oint) = c_LOrder_Ojoin(c_uminus(A,tc_IntDef_Oint),c_uminus(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4484,b,3876,a)].
% 25.68/25.60  Derived: c_uminus(c_LOrder_Omeet(A,B,C),C) = c_LOrder_Ojoin(c_uminus(A,C),c_uminus(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4484,b,3877,b)].
% 25.68/25.60  4485 c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3337,b,3047,b)].
% 25.68/25.60  Derived: c_OrderedGroup_Onprt(c_0,tc_IntDef_Oint) = c_0.  [resolve(4485,b,3876,a)].
% 25.68/25.60  Derived: c_OrderedGroup_Onprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(4485,b,3877,b)].
% 25.68/25.60  4486 -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3338,c,3047,b)].
% 25.68/25.60  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_OrderedGroup_Onprt(A,tc_IntDef_Oint) = c_0.  [resolve(4486,c,3876,a)].
% 25.68/25.60  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Onprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4486,c,3877,b)].
% 25.68/25.60  4487 -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3339,c,3047,b)].
% 25.68/25.60  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_OrderedGroup_Onprt(A,tc_IntDef_Oint) = A.  [resolve(4487,c,3876,a)].
% 25.68/25.60  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Onprt(A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4487,c,3877,b)].
% 25.68/25.60  4488 c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3340,b,3047,b)].
% 25.68/25.60  Derived: c_lessequals(c_OrderedGroup_Onprt(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(4488,b,3876,a)].
% 25.68/25.60  Derived: c_lessequals(c_OrderedGroup_Onprt(A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4488,b,3877,b)].
% 25.68/25.60  4489 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3341,c,3047,b)].
% 25.68/25.60  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_OrderedGroup_Onprt(A,tc_IntDef_Oint),c_OrderedGroup_Onprt(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4489,c,3876,a)].
% 25.68/25.61  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Onprt(A,C),c_OrderedGroup_Onprt(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4489,c,3877,b)].
% 25.68/25.61  4490 c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3342,b,3047,b)].
% 25.68/25.61  Derived: c_OrderedGroup_Opprt(c_0,tc_IntDef_Oint) = c_0.  [resolve(4490,b,3876,a)].
% 25.68/25.61  Derived: c_OrderedGroup_Opprt(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(4490,b,3877,b)].
% 25.68/25.61  4491 -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3343,c,3047,b)].
% 25.68/25.61  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_OrderedGroup_Opprt(A,tc_IntDef_Oint) = c_0.  [resolve(4491,c,3876,a)].
% 25.68/25.61  Derived: -c_lessequals(A,c_0,B) | c_OrderedGroup_Opprt(A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4491,c,3877,b)].
% 25.68/25.61  4492 -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3344,c,3047,b)].
% 25.68/25.61  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_OrderedGroup_Opprt(A,tc_IntDef_Oint) = A.  [resolve(4492,c,3876,a)].
% 25.68/25.61  Derived: -c_lessequals(c_0,A,B) | c_OrderedGroup_Opprt(A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4492,c,3877,b)].
% 25.68/25.61  4493 -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3345,c,3047,b)].
% 25.68/25.61  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_OrderedGroup_Opprt(A,tc_IntDef_Oint),c_OrderedGroup_Opprt(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4493,c,3876,a)].
% 25.68/25.61  Derived: -c_lessequals(A,B,C) | c_lessequals(c_OrderedGroup_Opprt(A,C),c_OrderedGroup_Opprt(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4493,c,3877,b)].
% 25.68/25.61  4494 -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3346,c,3047,b)].
% 25.68/25.61  Derived: -c_lessequals(c_0,c_plus(A,A,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(c_0,A,tc_IntDef_Oint).  [resolve(4494,c,3876,a)].
% 25.68/25.61  Derived: -c_lessequals(c_0,c_plus(A,A,B),B) | c_lessequals(c_0,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4494,c,3877,b)].
% 25.68/25.61  4495 -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3347,c,3047,b)].
% 25.68/25.61  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_lessequals(c_0,c_plus(A,A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4495,c,3876,a)].
% 25.68/25.61  Derived: -c_lessequals(c_0,A,B) | c_lessequals(c_0,c_plus(A,A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4495,c,3877,b)].
% 25.68/25.61  4496 c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3348,b,3047,b)].
% 25.68/25.61  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4496,b,3876,a)].
% 25.68/25.61  Derived: c_lessequals(c_0,c_OrderedGroup_Opprt(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4496,b,3877,b)].
% 25.68/25.61  4497 class_OrderedGroup_Opordered__ab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3349,b,3047,b)].
% 25.68/25.61  Derived: class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint).  [resolve(4497,b,3876,a)].
% 25.68/25.61  Derived: class_OrderedGroup_Opordered__ab__group__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4497,b,3877,b)].
% 25.68/25.61  4498 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3350,b,3047,b)].
% 25.68/25.61  Derived: class_OrderedGroup_Oab__group__add(tc_IntDef_Oint).  [resolve(4498,b,3876,a)].
% 25.68/25.61  Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4498,b,3877,b)].
% 25.68/25.61  4499 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3356,c,3047,b)].
% 25.68/25.61  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(4499,c,3876,a)].
% 25.68/25.61  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4499,c,3877,b)].
% 25.68/25.62  4500 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3357,c,3047,b)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(4500,c,3876,a)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4500,c,3877,b)].
% 25.68/25.62  4501 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3358,d,3047,b)].
% 25.68/25.62  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatLeastAtMost(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4501,d,3876,a)].
% 25.68/25.62  Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4501,d,3877,b)].
% 25.68/25.62  4502 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3359,c,3047,b)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(4502,c,3876,a)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4502,c,3877,b)].
% 25.68/25.62  4503 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3360,c,3047,b)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(4503,c,3876,a)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4503,c,3877,b)].
% 25.68/25.62  4504 -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3361,d,3047,b)].
% 25.68/25.62  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatLeastLessThan(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4504,d,3876,a)].
% 25.68/25.62  Derived: -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4504,d,3877,b)].
% 25.68/25.62  4505 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3362,c,3047,b)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(4505,c,3876,a)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4505,c,3877,b)].
% 25.68/25.62  4506 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3363,c,3047,b)].
% 25.68/25.62  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4506,c,3876,a)].
% 25.68/25.62  Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4506,c,3877,b)].
% 25.68/25.62  4507 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3364,c,3047,b)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(4507,c,3876,a)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4507,c,3877,b)].
% 25.68/25.62  4508 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3365,c,3047,b)].
% 25.68/25.62  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4508,c,3876,a)].
% 25.68/25.62  Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4508,c,3877,b)].
% 25.68/25.62  4509 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3366,c,3047,b)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint).  [resolve(4509,c,3876,a)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4509,c,3877,b)].
% 25.68/25.62  4510 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3367,c,3047,b)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(4510,c,3876,a)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4510,c,3877,b)].
% 25.68/25.62  4511 -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3368,d,3047,b)].
% 25.68/25.62  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_lessequals(B,C,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4511,d,3876,a)].
% 25.68/25.62  Derived: -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4511,d,3877,b)].
% 25.68/25.62  4512 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3369,c,3047,b)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint).  [resolve(4512,c,3876,a)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4512,c,3877,b)].
% 25.68/25.62  4513 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__idom(D).  [resolve(3370,c,3047,b)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(4513,c,3876,a)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4513,c,3877,b)].
% 25.68/25.62  4514 -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3371,d,3047,b)].
% 25.68/25.62  Derived: -c_less(A,B,tc_IntDef_Oint) | -c_less(C,A,tc_IntDef_Oint) | c_in(A,c_SetInterval_OgreaterThanLessThan(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4514,d,3876,a)].
% 25.68/25.62  Derived: -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4514,d,3877,b)].
% 25.68/25.62  4515 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3372,c,3047,b)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint).  [resolve(4515,c,3876,a)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4515,c,3877,b)].
% 25.68/25.62  4516 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3373,c,3047,b)].
% 25.68/25.62  Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4516,c,3876,a)].
% 25.68/25.62  Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4516,c,3877,b)].
% 25.68/25.62  4517 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3374,c,3047,b)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint).  [resolve(4517,c,3876,a)].
% 25.68/25.62  Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4517,c,3877,b)].
% 25.68/25.62  4518 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3375,c,3047,b)].
% 25.68/25.63  Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4518,c,3876,a)].
% 25.68/25.63  Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4518,c,3877,b)].
% 25.68/25.63  4519 c_0 != c_HOL_Oabs(A,B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3376,c,3047,b)].
% 25.68/25.63  Derived: c_0 != c_HOL_Oabs(A,tc_IntDef_Oint) | A = c_0.  [resolve(4519,c,3876,a)].
% 25.68/25.63  Derived: c_0 != c_HOL_Oabs(A,B) | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4519,c,3877,b)].
% 25.68/25.63  4520 c_0 = c_HOL_Oabs(c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3377,b,3047,b)].
% 25.68/25.63  Derived: c_0 = c_HOL_Oabs(c_0,tc_IntDef_Oint).  [resolve(4520,b,3876,a)].
% 25.68/25.63  Derived: c_0 = c_HOL_Oabs(c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4520,b,3877,b)].
% 25.68/25.63  4521 c_HOL_Oabs(c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B),B) = c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3378,b,3047,b)].
% 25.68/25.63  Derived: c_HOL_Oabs(c_plus(c_HOL_Oabs(A,tc_IntDef_Oint),c_HOL_Oabs(B,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_HOL_Oabs(A,tc_IntDef_Oint),c_HOL_Oabs(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4521,b,3876,a)].
% 25.68/25.63  Derived: c_HOL_Oabs(c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B),B) = c_plus(c_HOL_Oabs(A,B),c_HOL_Oabs(C,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4521,b,3877,b)].
% 25.68/25.63  4522 c_HOL_Oabs(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3379,c,3047,b)].
% 25.68/25.63  Derived: c_HOL_Oabs(A,tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(4522,c,3876,a)].
% 25.68/25.63  Derived: c_HOL_Oabs(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4522,c,3877,b)].
% 25.68/25.63  4523 c_HOL_Oabs(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3380,b,3047,b)].
% 25.68/25.63  Derived: c_HOL_Oabs(c_0,tc_IntDef_Oint) = c_0.  [resolve(4523,b,3876,a)].
% 25.68/25.63  Derived: c_HOL_Oabs(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(4523,b,3877,b)].
% 25.68/25.63  4524 c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3381,b,3047,b)].
% 25.68/25.63  Derived: c_lessequals(c_0,c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4524,b,3876,a)].
% 25.68/25.63  Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4524,b,3877,b)].
% 25.68/25.63  4525 c_HOL_Oabs(c_HOL_Oabs(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3382,b,3047,b)].
% 25.68/25.63  Derived: c_HOL_Oabs(c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint) = c_HOL_Oabs(A,tc_IntDef_Oint).  [resolve(4525,b,3876,a)].
% 25.68/25.63  Derived: c_HOL_Oabs(c_HOL_Oabs(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4525,b,3877,b)].
% 25.68/25.63  4526 -c_lessequals(c_HOL_Oabs(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3383,c,3047,b)].
% 25.68/25.63  Derived: -c_lessequals(c_HOL_Oabs(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | A = c_0.  [resolve(4526,c,3876,a)].
% 25.68/25.63  Derived: -c_lessequals(c_HOL_Oabs(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4526,c,3877,b)].
% 25.68/25.63  4527 c_lessequals(c_HOL_Oabs(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3384,b,3047,b)].
% 25.68/25.63  Derived: c_lessequals(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(4527,b,3876,a)].
% 25.68/25.63  Derived: c_lessequals(c_HOL_Oabs(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4527,b,3877,b)].
% 25.68/25.63  4528 c_HOL_Oabs(c_uminus(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3385,b,3047,b)].
% 25.68/25.63  Derived: c_HOL_Oabs(c_uminus(A,tc_IntDef_Oint),tc_IntDef_Oint) = c_HOL_Oabs(A,tc_IntDef_Oint).  [resolve(4528,b,3876,a)].
% 25.68/25.63  Derived: c_HOL_Oabs(c_uminus(A,B),B) = c_HOL_Oabs(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4528,b,3877,b)].
% 25.68/25.63  4529 -c_less(c_HOL_Oabs(A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3386,b,3047,b)].
% 25.68/25.63  Derived: -c_less(c_HOL_Oabs(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(4529,b,3876,a)].
% 25.68/25.63  Derived: -c_less(c_HOL_Oabs(A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4529,b,3877,b)].
% 25.71/25.64  4530 -c_lessequals(c_0,A,B) | c_HOL_Oabs(A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3387,c,3047,b)].
% 25.71/25.64  Derived: -c_lessequals(c_0,A,tc_IntDef_Oint) | c_HOL_Oabs(A,tc_IntDef_Oint) = A.  [resolve(4530,c,3876,a)].
% 25.71/25.64  Derived: -c_lessequals(c_0,A,B) | c_HOL_Oabs(A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4530,c,3877,b)].
% 25.71/25.64  4531 -c_lessequals(A,c_0,B) | c_HOL_Oabs(A,B) = c_uminus(A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3388,c,3047,b)].
% 25.71/25.64  Derived: -c_lessequals(A,c_0,tc_IntDef_Oint) | c_HOL_Oabs(A,tc_IntDef_Oint) = c_uminus(A,tc_IntDef_Oint).  [resolve(4531,c,3876,a)].
% 25.71/25.64  Derived: -c_lessequals(A,c_0,B) | c_HOL_Oabs(A,B) = c_uminus(A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4531,c,3877,b)].
% 25.71/25.64  4532 -c_less(c_0,c_HOL_Oabs(c_0,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3389,b,3047,b)].
% 25.71/25.64  Derived: -c_less(c_0,c_HOL_Oabs(c_0,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4532,b,3876,a)].
% 25.71/25.64  Derived: -c_less(c_0,c_HOL_Oabs(c_0,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4532,b,3877,b)].
% 25.71/25.64  4533 c_less(c_0,c_HOL_Oabs(A,B),B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3390,c,3047,b)].
% 25.71/25.64  Derived: c_less(c_0,c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint) | A = c_0.  [resolve(4533,c,3876,a)].
% 25.71/25.64  Derived: c_less(c_0,c_HOL_Oabs(A,B),B) | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4533,c,3877,b)].
% 25.71/25.64  4534 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3391,b,3047,b)].
% 25.71/25.64  Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint).  [resolve(4534,b,3876,a)].
% 25.71/25.64  Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4534,b,3877,b)].
% 25.71/25.64  4535 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3392,b,3047,b)].
% 25.71/25.64  Derived: c_times(c_0,A,tc_IntDef_Oint) = c_0.  [resolve(4535,b,3876,a)].
% 25.71/25.64  Derived: c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4535,b,3877,b)].
% 25.71/25.64  4536 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3393,b,3047,b)].
% 25.71/25.64  Derived: c_times(A,c_0,tc_IntDef_Oint) = c_0.  [resolve(4536,b,3876,a)].
% 25.71/25.64  Derived: c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4536,b,3877,b)].
% 25.71/25.64  4537 -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3394,c,3047,b)].
% 25.71/25.64  Derived: -c_lessequals(c_plus(A,B,tc_IntDef_Oint),c_plus(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,C,tc_IntDef_Oint).  [resolve(4537,c,3876,a)].
% 25.71/25.64  Derived: -c_lessequals(c_plus(A,B,C),c_plus(A,D,C),C) | c_lessequals(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4537,c,3877,b)].
% 25.71/25.64  4538 -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3395,c,3047,b)].
% 25.71/25.64  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_plus(C,A,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4538,c,3876,a)].
% 25.71/25.64  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4538,c,3877,b)].
% 25.71/25.64  4539 -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3396,c,3047,b)].
% 25.71/25.64  Derived: -c_lessequals(c_plus(A,B,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,C,tc_IntDef_Oint).  [resolve(4539,c,3876,a)].
% 25.71/25.64  Derived: -c_lessequals(c_plus(A,B,C),c_plus(D,B,C),C) | c_lessequals(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4539,c,3877,b)].
% 25.71/25.64  4540 -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3397,c,3047,b)].
% 25.71/25.64  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_plus(A,C,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4540,c,3876,a)].
% 25.71/25.64  Derived: -c_lessequals(A,B,C) | c_lessequals(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4540,c,3877,b)].
% 25.71/25.65  4541 -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3398,c,3047,b)].
% 25.71/25.65  Derived: -c_less(c_plus(A,B,tc_IntDef_Oint),c_plus(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,C,tc_IntDef_Oint).  [resolve(4541,c,3876,a)].
% 25.71/25.65  Derived: -c_less(c_plus(A,B,C),c_plus(A,D,C),C) | c_less(B,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4541,c,3877,b)].
% 25.71/25.65  4542 -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3399,c,3047,b)].
% 25.71/25.65  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_plus(C,A,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4542,c,3876,a)].
% 25.71/25.65  Derived: -c_less(A,B,C) | c_less(c_plus(D,A,C),c_plus(D,B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4542,c,3877,b)].
% 25.71/25.65  4543 -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3400,c,3047,b)].
% 25.71/25.65  Derived: -c_less(c_plus(A,B,tc_IntDef_Oint),c_plus(C,B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,C,tc_IntDef_Oint).  [resolve(4543,c,3876,a)].
% 25.71/25.65  Derived: -c_less(c_plus(A,B,C),c_plus(D,B,C),C) | c_less(A,D,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4543,c,3877,b)].
% 25.71/25.65  4544 -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3401,c,3047,b)].
% 25.71/25.65  Derived: -c_less(A,B,tc_IntDef_Oint) | c_less(c_plus(A,C,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4544,c,3876,a)].
% 25.71/25.65  Derived: -c_less(A,B,C) | c_less(c_plus(A,D,C),c_plus(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4544,c,3877,b)].
% 25.71/25.65  4545 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3402,b,3047,b)].
% 25.71/25.65  Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint).  [resolve(4545,b,3876,a)].
% 25.71/25.65  Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4545,b,3877,b)].
% 25.71/25.65  4546 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3403,c,3047,b)].
% 25.71/25.65  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(A,C,tc_IntDef_Oint) | B = C.  [resolve(4546,c,3876,a)].
% 25.71/25.65  Derived: c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(4546,c,3877,b)].
% 25.71/25.65  4547 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3404,c,3047,b)].
% 25.71/25.65  Derived: c_plus(A,B,tc_IntDef_Oint) != c_plus(C,B,tc_IntDef_Oint) | A = C.  [resolve(4547,c,3876,a)].
% 25.71/25.65  Derived: c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Oordered__field(C).  [resolve(4547,c,3877,b)].
% 25.71/25.65  4548 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3405,b,3047,b)].
% 25.71/25.65  Derived: c_lessequals(A,A,tc_IntDef_Oint).  [resolve(4548,b,3876,a)].
% 25.71/25.65  Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4548,b,3877,b)].
% 25.71/25.65  4549 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3406,b,3047,b)].
% 25.71/25.65  Derived: -c_less(A,A,tc_IntDef_Oint).  [resolve(4549,b,3876,a)].
% 25.71/25.65  Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4549,b,3877,b)].
% 25.71/25.65  4550 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3407,c,3047,b)].
% 25.71/25.65  Derived: -c_less(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(4550,c,3876,a)].
% 25.71/25.65  Derived: -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(4550,c,3877,b)].
% 25.71/25.65  4551 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3408,b,3047,b)].
% 25.71/25.65  Derived: c_SetInterval_OatLeastAtMost(A,A,tc_IntDef_Oint) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(4551,b,3876,a)].
% 25.71/25.65  Derived: c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4551,b,3877,b)].
% 25.71/25.65  4552 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3409,c,3047,b)].
% 25.71/25.65  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OatLeastLessThan(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(4552,c,3876,a)].
% 25.71/25.65  Derived: -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(4552,c,3877,b)].
% 25.71/25.65  4553 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3410,c,3047,b)].
% 25.71/25.65  Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint).  [resolve(4553,c,3876,a)].
% 25.71/25.65  Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4553,c,3877,b)].
% 25.71/25.65  4554 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3411,c,3047,b)].
% 25.71/25.65  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(4554,c,3876,a)].
% 25.71/25.65  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4554,c,3877,b)].
% 25.71/25.65  4555 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3412,c,3047,b)].
% 25.71/25.65  Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint).  [resolve(4555,c,3876,a)].
% 25.71/25.65  Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4555,c,3877,b)].
% 25.71/25.65  4556 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3413,c,3047,b)].
% 25.71/25.65  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)).  [resolve(4556,c,3876,a)].
% 25.71/25.65  Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4556,c,3877,b)].
% 25.71/25.65  4557 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3414,c,3047,b)].
% 25.71/25.65  Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_SetInterval_OgreaterThanAtMost(B,A,tc_IntDef_Oint) = c_emptyset.  [resolve(4557,c,3876,a)].
% 25.71/25.65  Derived: -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Ring__and__Field_Oordered__field(C).  [resolve(4557,c,3877,b)].
% 25.71/25.65  4558 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3415,b,3047,b)].
% 25.71/25.65  Derived: c_minus(c_insert(A,c_emptyset,tc_IntDef_Oint),c_SetInterval_OlessThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) = c_insert(A,c_emptyset,tc_IntDef_Oint).  [resolve(4558,b,3876,a)].
% 25.71/25.65  Derived: c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4558,b,3877,b)].
% 25.71/25.65  4559 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3416,b,3047,b)].
% 25.71/25.65  Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint).  [resolve(4559,b,3876,a)].
% 25.71/25.65  Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4559,b,3877,b)].
% 25.71/25.65  4560 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3417,c,3047,b)].
% 25.71/25.66  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_plus(A,B,tc_IntDef_Oint),c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(A,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),c_times(B,c_Numeral_Onumber__of(C,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4560,c,3876,a)].
% 25.71/25.66  Derived: -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4560,c,3877,b)].
% 25.71/25.66  4561 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3418,c,3047,b)].
% 25.71/25.66  Derived: -class_Numeral_Onumber(tc_IntDef_Oint) | c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),c_plus(B,C,tc_IntDef_Oint),tc_IntDef_Oint) = c_plus(c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),B,tc_IntDef_Oint),c_times(c_Numeral_Onumber__of(A,tc_IntDef_Oint),C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4561,c,3876,a)].
% 25.71/25.66  Derived: -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4561,c,3877,b)].
% 25.71/25.66  4562 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3419,b,3047,b)].
% 25.71/25.66  Derived: c_plus(A,c_0,tc_IntDef_Oint) = A.  [resolve(4562,b,3876,a)].
% 25.71/25.66  Derived: c_plus(A,c_0,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4562,b,3877,b)].
% 25.71/25.66  4563 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3420,b,3047,b)].
% 25.71/25.66  Derived: c_plus(c_0,A,tc_IntDef_Oint) = A.  [resolve(4563,b,3876,a)].
% 25.71/25.66  Derived: c_plus(c_0,A,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4563,b,3877,b)].
% 25.71/25.66  4564 c_0 != c_NatArith_Oof__nat(A,B) | c_0 = A | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3429,a,3425,b)].
% 25.71/25.66  Derived: c_0 != c_NatArith_Oof__nat(A,tc_IntDef_Oint) | c_0 = A.  [resolve(4564,c,3876,a)].
% 25.71/25.66  Derived: c_0 != c_NatArith_Oof__nat(A,B) | c_0 = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4564,c,3877,b)].
% 25.71/25.66  4565 c_0 = c_NatArith_Oof__nat(c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3430,a,3425,b)].
% 25.71/25.66  Derived: c_0 = c_NatArith_Oof__nat(c_0,tc_IntDef_Oint).  [resolve(4565,b,3876,a)].
% 25.71/25.66  Derived: c_0 = c_NatArith_Oof__nat(c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4565,b,3877,b)].
% 25.71/25.66  4566 c_lessequals(c_0,c_NatArith_Oof__nat(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3431,a,3425,b)].
% 25.71/25.66  Derived: c_lessequals(c_0,c_NatArith_Oof__nat(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4566,b,3876,a)].
% 25.71/25.66  Derived: c_lessequals(c_0,c_NatArith_Oof__nat(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4566,b,3877,b)].
% 25.71/25.66  4567 -c_less(c_0,c_NatArith_Oof__nat(A,B),B) | c_less(c_0,A,tc_nat) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3432,a,3425,b)].
% 25.71/25.66  Derived: -c_less(c_0,c_NatArith_Oof__nat(A,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(c_0,A,tc_nat).  [resolve(4567,c,3876,a)].
% 25.71/25.66  Derived: -c_less(c_0,c_NatArith_Oof__nat(A,B),B) | c_less(c_0,A,tc_nat) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4567,c,3877,b)].
% 25.71/25.66  4568 -c_less(c_0,A,tc_nat) | c_less(c_0,c_NatArith_Oof__nat(A,B),B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3433,a,3425,b)].
% 25.71/25.66  Derived: -c_less(c_0,A,tc_nat) | c_less(c_0,c_NatArith_Oof__nat(A,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4568,c,3876,a)].
% 25.71/25.66  Derived: -c_less(c_0,A,tc_nat) | c_less(c_0,c_NatArith_Oof__nat(A,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4568,c,3877,b)].
% 25.71/25.66  4569 c_NatArith_Oof__nat(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3434,a,3425,b)].
% 25.71/25.66  Derived: c_NatArith_Oof__nat(A,tc_IntDef_Oint) != c_0 | A = c_0.  [resolve(4569,c,3876,a)].
% 25.71/25.67  Derived: c_NatArith_Oof__nat(A,B) != c_0 | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4569,c,3877,b)].
% 25.71/25.67  4570 c_NatArith_Oof__nat(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3435,a,3425,b)].
% 25.71/25.67  Derived: c_NatArith_Oof__nat(c_0,tc_IntDef_Oint) = c_0.  [resolve(4570,b,3876,a)].
% 25.71/25.67  Derived: c_NatArith_Oof__nat(c_0,A) = c_0 | -class_Ring__and__Field_Oordered__field(A).  [resolve(4570,b,3877,b)].
% 25.71/25.67  4571 c_NatArith_Oof__nat(A,B) != c_NatArith_Oof__nat(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3436,a,3425,b)].
% 25.71/25.67  Derived: c_NatArith_Oof__nat(A,tc_IntDef_Oint) != c_NatArith_Oof__nat(B,tc_IntDef_Oint) | A = B.  [resolve(4571,c,3876,a)].
% 25.71/25.67  Derived: c_NatArith_Oof__nat(A,B) != c_NatArith_Oof__nat(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B).  [resolve(4571,c,3877,b)].
% 25.71/25.67  4572 -c_lessequals(c_NatArith_Oof__nat(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3437,a,3425,b)].
% 25.71/25.67  Derived: -c_lessequals(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint) | A = c_0.  [resolve(4572,c,3876,a)].
% 25.71/25.67  Derived: -c_lessequals(c_NatArith_Oof__nat(A,B),c_0,B) | A = c_0 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4572,c,3877,b)].
% 25.71/25.67  4573 c_lessequals(c_NatArith_Oof__nat(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3438,a,3425,b)].
% 25.71/25.67  Derived: c_lessequals(c_NatArith_Oof__nat(c_0,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(4573,b,3876,a)].
% 25.71/25.67  Derived: c_lessequals(c_NatArith_Oof__nat(c_0,A),c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4573,b,3877,b)].
% 25.71/25.67  4574 -c_lessequals(c_NatArith_Oof__nat(A,B),c_NatArith_Oof__nat(C,B),B) | c_lessequals(A,C,tc_nat) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3439,a,3425,b)].
% 25.71/25.67  Derived: -c_lessequals(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_nat).  [resolve(4574,c,3876,a)].
% 25.71/25.67  Derived: -c_lessequals(c_NatArith_Oof__nat(A,B),c_NatArith_Oof__nat(C,B),B) | c_lessequals(A,C,tc_nat) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4574,c,3877,b)].
% 25.71/25.67  4575 -c_lessequals(A,B,tc_nat) | c_lessequals(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3440,a,3425,b)].
% 25.71/25.67  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4575,c,3876,a)].
% 25.71/25.67  Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4575,c,3877,b)].
% 25.71/25.67  4576 -c_less(c_NatArith_Oof__nat(A,B),c_0,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3441,a,3425,b)].
% 25.71/25.67  Derived: -c_less(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_0,tc_IntDef_Oint).  [resolve(4576,b,3876,a)].
% 25.71/25.67  Derived: -c_less(c_NatArith_Oof__nat(A,B),c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4576,b,3877,b)].
% 25.71/25.67  4577 -c_less(c_NatArith_Oof__nat(A,B),c_NatArith_Oof__nat(C,B),B) | c_less(A,C,tc_nat) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3442,a,3425,b)].
% 25.71/25.67  Derived: -c_less(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_nat).  [resolve(4577,c,3876,a)].
% 25.71/25.67  Derived: -c_less(c_NatArith_Oof__nat(A,B),c_NatArith_Oof__nat(C,B),B) | c_less(A,C,tc_nat) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4577,c,3877,b)].
% 25.71/25.67  4578 -c_less(A,B,tc_nat) | c_less(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3443,a,3425,b)].
% 25.71/25.67  Derived: -c_less(A,B,tc_nat) | c_less(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4578,c,3876,a)].
% 25.71/25.67  Derived: -c_less(A,B,tc_nat) | c_less(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4578,c,3877,b)].
% 25.71/25.67  4579 -class_Power_Orecpower(A) | -c_less(c_1,B,A) | -c_lessequals(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | c_lessequals(C,D,tc_nat) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3444,b,3425,b)].
% 25.71/25.68  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_1,A,tc_IntDef_Oint) | -c_lessequals(c_Nat_Opower(A,B,tc_IntDef_Oint),c_Nat_Opower(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,C,tc_nat).  [resolve(4579,e,3876,a)].
% 25.71/25.68  Derived: -class_Power_Orecpower(A) | -c_less(c_1,B,A) | -c_lessequals(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | c_lessequals(C,D,tc_nat) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4579,e,3877,b)].
% 25.71/25.68  4580 -class_Power_Orecpower(A) | -c_less(c_1,B,A) | -c_lessequals(C,D,tc_nat) | c_lessequals(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3445,b,3425,b)].
% 25.71/25.68  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_1,A,tc_IntDef_Oint) | -c_lessequals(B,C,tc_nat) | c_lessequals(c_Nat_Opower(A,B,tc_IntDef_Oint),c_Nat_Opower(A,C,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4580,e,3876,a)].
% 25.71/25.68  Derived: -class_Power_Orecpower(A) | -c_less(c_1,B,A) | -c_lessequals(C,D,tc_nat) | c_lessequals(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4580,e,3877,b)].
% 25.71/25.68  4581 -class_Power_Orecpower(A) | -c_less(c_1,B,A) | c_Nat_Opower(B,C,A) != c_Nat_Opower(B,D,A) | C = D | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3446,b,3425,b)].
% 25.71/25.68  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_1,A,tc_IntDef_Oint) | c_Nat_Opower(A,B,tc_IntDef_Oint) != c_Nat_Opower(A,C,tc_IntDef_Oint) | B = C.  [resolve(4581,e,3876,a)].
% 25.71/25.68  Derived: -class_Power_Orecpower(A) | -c_less(c_1,B,A) | c_Nat_Opower(B,C,A) != c_Nat_Opower(B,D,A) | C = D | -class_Ring__and__Field_Oordered__field(A).  [resolve(4581,e,3877,b)].
% 25.71/25.68  4582 -class_Power_Orecpower(A) | -c_less(c_1,B,A) | -c_less(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | c_less(C,D,tc_nat) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3447,b,3425,b)].
% 25.71/25.68  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(c_1,A,tc_IntDef_Oint) | -c_less(c_Nat_Opower(A,B,tc_IntDef_Oint),c_Nat_Opower(A,C,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,C,tc_nat).  [resolve(4582,e,3876,a)].
% 25.71/25.68  Derived: -class_Power_Orecpower(A) | -c_less(c_1,B,A) | -c_less(c_Nat_Opower(B,C,A),c_Nat_Opower(B,D,A),A) | c_less(C,D,tc_nat) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4582,e,3877,b)].
% 25.71/25.68  4583 -class_Power_Orecpower(A) | -c_less(B,C,tc_nat) | -c_less(c_1,D,A) | c_less(c_Nat_Opower(D,B,A),c_Nat_Opower(D,C,A),A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3448,b,3425,b)].
% 25.71/25.68  Derived: -class_Power_Orecpower(tc_IntDef_Oint) | -c_less(A,B,tc_nat) | -c_less(c_1,C,tc_IntDef_Oint) | c_less(c_Nat_Opower(C,A,tc_IntDef_Oint),c_Nat_Opower(C,B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4583,e,3876,a)].
% 25.71/25.68  Derived: -class_Power_Orecpower(A) | -c_less(B,C,tc_nat) | -c_less(c_1,D,A) | c_less(c_Nat_Opower(D,B,A),c_Nat_Opower(D,C,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4583,e,3877,b)].
% 25.71/25.68  4584 -c_lessequals(c_1,c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3449,a,3425,b)].
% 25.71/25.68  Derived: -c_lessequals(c_1,c_0,tc_IntDef_Oint).  [resolve(4584,b,3876,a)].
% 25.71/25.68  Derived: -c_lessequals(c_1,c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4584,b,3877,b)].
% 25.71/25.68  4585 -c_less(c_1,c_0,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3450,a,3425,b)].
% 25.71/25.68  Derived: -c_less(c_1,c_0,tc_IntDef_Oint).  [resolve(4585,b,3876,a)].
% 25.71/25.68  Derived: -c_less(c_1,c_0,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4585,b,3877,b)].
% 25.71/25.68  4586 c_less(c_0,c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3451,a,3425,b)].
% 25.71/25.68  Derived: c_less(c_0,c_1,tc_IntDef_Oint).  [resolve(4586,b,3876,a)].
% 25.71/25.68  Derived: c_less(c_0,c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4586,b,3877,b)].
% 25.71/25.68  4587 c_lessequals(c_0,c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3452,a,3425,b)].
% 25.71/25.68  Derived: c_lessequals(c_0,c_1,tc_IntDef_Oint).  [resolve(4587,b,3876,a)].
% 25.71/25.68  Derived: c_lessequals(c_0,c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4587,b,3877,b)].
% 25.71/25.68  4588 c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3514,b,3425,b)].
% 25.71/25.69  Derived: c_in(c_0,c_IntDef_ONats,tc_IntDef_Oint).  [resolve(4588,b,3876,a)].
% 25.71/25.69  Derived: c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4588,b,3877,b)].
% 25.71/25.69  4589 c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3515,b,3425,b)].
% 25.71/25.69  Derived: c_in(c_1,c_IntDef_ONats,tc_IntDef_Oint).  [resolve(4589,b,3876,a)].
% 25.71/25.69  Derived: c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4589,b,3877,b)].
% 25.71/25.69  4590 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3516,d,3425,b)].
% 25.71/25.69  Derived: -c_in(A,c_IntDef_ONats,tc_IntDef_Oint) | -c_in(B,c_IntDef_ONats,tc_IntDef_Oint) | c_in(c_plus(B,A,tc_IntDef_Oint),c_IntDef_ONats,tc_IntDef_Oint).  [resolve(4590,d,3876,a)].
% 25.71/25.69  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4590,d,3877,b)].
% 25.71/25.69  4591 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3517,d,3425,b)].
% 25.71/25.69  Derived: -c_in(A,c_IntDef_ONats,tc_IntDef_Oint) | -c_in(B,c_IntDef_ONats,tc_IntDef_Oint) | c_in(c_times(B,A,tc_IntDef_Oint),c_IntDef_ONats,tc_IntDef_Oint).  [resolve(4591,d,3876,a)].
% 25.71/25.69  Derived: -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4591,d,3877,b)].
% 25.71/25.69  4592 c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3518,b,3425,b)].
% 25.71/25.69  Derived: c_in(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_IntDef_ONats,tc_IntDef_Oint).  [resolve(4592,b,3876,a)].
% 25.71/25.69  Derived: c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4592,b,3877,b)].
% 25.71/25.69  4593 c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Oordered__idom(B).  [resolve(3519,b,3425,b)].
% 25.71/25.69  Derived: c_NatArith_Oof__nat(c_Suc(A),tc_IntDef_Oint) = c_plus(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_1,tc_IntDef_Oint).  [resolve(4593,b,3876,a)].
% 25.71/25.69  Derived: c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4593,b,3877,b)].
% 25.71/25.69  4594 c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3520,b,3425,b)].
% 25.71/25.69  Derived: c_NatArith_Oof__nat(c_1,tc_IntDef_Oint) = c_1.  [resolve(4594,b,3876,a)].
% 25.71/25.69  Derived: c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Oordered__field(A).  [resolve(4594,b,3877,b)].
% 25.71/25.69  4595 c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3521,b,3425,b)].
% 25.71/25.69  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),tc_IntDef_Oint) = c_plus(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4595,b,3876,a)].
% 25.71/25.69  Derived: c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4595,b,3877,b)].
% 25.71/25.69  4596 c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__idom(C).  [resolve(3522,b,3425,b)].
% 25.71/25.69  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),tc_IntDef_Oint) = c_times(c_NatArith_Oof__nat(A,tc_IntDef_Oint),c_NatArith_Oof__nat(B,tc_IntDef_Oint),tc_IntDef_Oint).  [resolve(4596,b,3876,a)].
% 25.71/25.69  Derived: c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4596,b,3877,b)].
% 25.71/25.69  4597 -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3523,b,3425,b)].
% 25.71/25.69  Derived: -c_IntDef_Oiszero(c_1,tc_IntDef_Oint).  [resolve(4597,b,3876,a)].
% 25.71/25.69  Derived: -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4597,b,3877,b)].
% 29.41/29.36  4598 class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A).  [resolve(3730,b,3425,b)].
% 29.41/29.36  Derived: class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint).  [resolve(4598,b,3876,a)].
% 29.41/29.36  Derived: class_OrderedGroup_Oab__semigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4598,b,3877,b)].
% 29.41/29.36  4599 -class_Wellfounded__Recursion_Owellorder(A) | c_lessequals(B,B,A).  [resolve(32,b,2,a)].
% 29.41/29.36  4600 class_Wellfounded__Recursion_Owellorder(tc_nat) # label(clsarity_nat_8) # label(axiom).  [assumption].
% 29.41/29.36  4601 -c_less(A,A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(33,a,32,b)].
% 29.41/29.36  4602 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(34,a,32,b)].
% 29.41/29.36  4603 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(35,a,32,b)].
% 29.41/29.36  4604 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(36,a,32,b)].
% 29.41/29.36  4605 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(37,a,32,b)].
% 29.41/29.36  4606 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(38,a,32,b)].
% 29.41/29.36  4607 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(39,a,32,b)].
% 29.41/29.36  4608 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(40,a,32,b)].
% 29.41/29.36  4609 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(41,a,32,b)].
% 29.41/29.36  4610 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(42,a,32,b)].
% 29.41/29.36  4611 c_LOrder_Omeet(A,A,B) = A | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1087,a,1086,b)].
% 29.41/29.36  4612 c_LOrder_Ojoin(A,A,B) = A | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1118,a,1117,b)].
% 29.41/29.36  4613 c_lessequals(A,A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1161,b,1147,b)].
% 29.41/29.36  4614 -c_less(A,A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1163,b,1147,b)].
% 29.41/29.36  4615 -c_less(A,B,C) | c_SetInterval_OatLeastAtMost(B,A,C) = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1164,c,1147,b)].
% 29.41/29.36  4616 c_SetInterval_OatLeastAtMost(A,A,B) = c_insert(A,c_emptyset,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1165,b,1147,b)].
% 29.41/29.36  4617 -c_lessequals(A,B,C) | c_SetInterval_OatLeastLessThan(B,A,C) = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1166,c,1147,b)].
% 29.41/29.36  4618 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1167,c,1147,b)].
% 29.41/29.36  4619 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1168,c,1147,b)].
% 29.41/29.36  4620 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1169,c,1147,b)].
% 29.41/29.36  4621 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1170,c,1147,b)].
% 29.41/29.36  4622 -c_lessequals(A,B,C) | c_SetInterval_OgreaterThanAtMost(B,A,C) = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1171,c,1147,b)].
% 29.41/29.36  4623 c_minus(c_insert(A,c_emptyset,B),c_SetInterval_OlessThan(A,B),tc_set(B)) = c_insert(A,c_emptyset,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1172,b,1147,b)].
% 29.41/29.36  4624 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(A,c_Finite__Set_OMax(B,C),C) | B = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1185,a,1184,b)].
% 29.41/29.37  4625 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMax(A,B),A,B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1186,a,1184,b)].
% 29.41/29.37  4626 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMax(c_insert(C,A,B),B) = c_Orderings_Omax(C,c_Finite__Set_OMax(A,B),B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1187,a,1184,b)].
% 29.41/29.37  4627 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(c_Finite__Set_OMax(B,C),D,C) | c_lessequals(A,D,C) | B = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1188,a,1184,b)].
% 29.41/29.37  4628 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__le__iff__1(A,C,B),A,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1189,a,1184,b)].
% 29.41/29.37  4629 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(c_Main_OMax__le__iff__1(A,C,B),C,B) | c_lessequals(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1190,a,1184,b)].
% 29.41/29.37  4630 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(c_Finite__Set_OMax(B,C),D,C) | c_less(A,D,C) | B = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1191,a,1184,b)].
% 29.41/29.37  4631 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMax__less__iff__1(A,C,B),A,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1192,a,1184,b)].
% 29.41/29.37  4632 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(c_Main_OMax__less__iff__1(A,C,B),C,B) | c_less(c_Finite__Set_OMax(A,B),C,B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1193,a,1184,b)].
% 29.41/29.37  4633 c_Finite__Set_OMax(c_insert(A,c_emptyset,B),B) = A | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1194,a,1184,b)].
% 29.41/29.37  4634 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_lessequals(D,c_Finite__Set_OMin(B,C),C) | c_lessequals(D,A,C) | B = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1195,a,1184,b)].
% 29.41/29.37  4635 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__ge__iff__1(A,C,B),A,B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1196,a,1184,b)].
% 29.41/29.37  4636 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_lessequals(C,c_Main_OMin__ge__iff__1(A,C,B),B) | c_lessequals(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1197,a,1184,b)].
% 29.41/29.37  4637 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | -c_less(D,c_Finite__Set_OMin(B,C),C) | c_less(D,A,C) | B = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1198,a,1184,b)].
% 29.41/29.37  4638 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Main_OMin__gr__iff__1(A,C,B),A,B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1199,a,1184,b)].
% 29.41/29.37  4639 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | -c_less(C,c_Main_OMin__gr__iff__1(A,C,B),B) | c_less(C,c_Finite__Set_OMin(A,B),B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1200,a,1184,b)].
% 29.41/29.37  4640 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_in(c_Finite__Set_OMin(A,B),A,B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1201,a,1184,b)].
% 29.41/29.37  4641 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | A = c_emptyset | c_Finite__Set_OMin(c_insert(C,A,B),B) = c_Orderings_Omin(C,c_Finite__Set_OMin(A,B),B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1202,a,1184,b)].
% 29.41/29.37  4642 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | c_lessequals(c_Finite__Set_OMin(B,C),A,C) | B = c_emptyset | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1203,a,1184,b)].
% 29.41/29.37  4643 c_Finite__Set_OMin(c_insert(A,c_emptyset,B),B) = A | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1204,a,1184,b)].
% 29.41/29.37  4644 -c_in(A,c_Finite__Set_OFinites,tc_set(B)) | c_lessequals(c_Finite__Set_OMin(A,B),c_Finite__Set_OMax(A,B),B) | A = c_emptyset | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1205,a,1184,b)].
% 29.41/29.38  4645 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omin(A,c_Finite__Set_OMax(B,C),C) = A | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1206,a,1184,b)].
% 29.41/29.38  4646 -c_in(A,B,C) | -c_in(B,c_Finite__Set_OFinites,tc_set(C)) | B = c_emptyset | c_Orderings_Omax(A,c_Finite__Set_OMin(B,C),C) = A | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1207,a,1184,b)].
% 29.41/29.38  4647 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_plus(B,B,A),c_0,A) | c_less(B,c_0,A) | -class_Wellfounded__Recursion_Owellorder(A).  [resolve(1208,b,1184,b)].
% 29.41/29.38  4648 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_0,A) | c_less(c_plus(B,B,A),c_0,A) | -class_Wellfounded__Recursion_Owellorder(A).  [resolve(1209,b,1184,b)].
% 29.41/29.38  4649 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(A,D,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1210,a,1184,b)].
% 29.41/29.38  4650 -c_less(c_Orderings_Omax(A,B,C),D,C) | c_less(B,D,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1211,a,1184,b)].
% 29.41/29.38  4651 -c_less(A,B,C) | -c_less(D,B,C) | c_less(c_Orderings_Omax(D,A,C),B,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1212,a,1184,b)].
% 29.41/29.38  4652 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,B,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(1213,a,1184,b)].
% 29.41/29.38  4653 -c_less(A,c_Orderings_Omin(B,C,D),D) | c_less(A,C,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(1214,a,1184,b)].
% 29.41/29.38  4654 -c_less(A,B,C) | -c_less(A,D,C) | c_less(A,c_Orderings_Omin(D,B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1215,a,1184,b)].
% 29.41/29.38  4655 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,B,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(1216,a,1184,b)].
% 29.41/29.38  4656 -c_lessequals(A,c_Orderings_Omin(B,C,D),D) | c_lessequals(A,C,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(1217,a,1184,b)].
% 29.41/29.38  4657 -c_lessequals(A,B,C) | -c_lessequals(A,D,C) | c_lessequals(A,c_Orderings_Omin(D,B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1218,a,1184,b)].
% 29.41/29.38  4658 c_Orderings_Omin(A,A,B) = A | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1219,a,1184,b)].
% 29.41/29.38  4659 c_Orderings_Omin(A,c_Orderings_Omin(A,B,C),C) = c_Orderings_Omin(A,B,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1220,a,1184,b)].
% 29.41/29.38  4660 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(A,D,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1221,a,1184,b)].
% 29.41/29.38  4661 -c_lessequals(c_Orderings_Omax(A,B,C),D,C) | c_lessequals(B,D,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1222,a,1184,b)].
% 29.41/29.38  4662 -c_lessequals(A,B,C) | -c_lessequals(D,B,C) | c_lessequals(c_Orderings_Omax(D,A,C),B,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1223,a,1184,b)].
% 29.41/29.38  4663 c_Orderings_Omax(A,A,B) = A | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1224,a,1184,b)].
% 29.41/29.38  4664 c_Orderings_Omax(A,c_Orderings_Omax(A,B,C),C) = c_Orderings_Omax(A,B,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1225,a,1184,b)].
% 29.41/29.38  4665 c_uminus(c_SetInterval_OatLeast(A,B),tc_set(B)) = c_SetInterval_OlessThan(A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1226,a,1184,b)].
% 29.41/29.38  4666 c_uminus(c_SetInterval_OatMost(A,B),tc_set(B)) = c_SetInterval_OgreaterThan(A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1227,a,1184,b)].
% 29.41/29.38  4667 c_uminus(c_SetInterval_OgreaterThan(A,B),tc_set(B)) = c_SetInterval_OatMost(A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1228,a,1184,b)].
% 29.41/29.38  4668 c_uminus(c_SetInterval_OlessThan(A,B),tc_set(B)) = c_SetInterval_OatLeast(A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1229,a,1184,b)].
% 29.41/29.38  4669 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1230,a,1184,b)].
% 29.41/29.38  4670 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1231,a,1184,b)].
% 29.41/29.38  4671 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1232,a,1184,b)].
% 29.52/29.47  4672 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1233,a,1184,b)].
% 29.52/29.47  4673 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1234,a,1184,b)].
% 29.52/29.47  4674 -c_lessequals(A,B,C) | c_minus(c_SetInterval_OatLeastLessThan(A,D,C),c_SetInterval_OatLeastLessThan(A,B,C),tc_set(C)) = c_SetInterval_OatLeastLessThan(B,D,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1235,a,1184,b)].
% 29.52/29.47  4675 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(D,A,C) | c_lessequals(B,A,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1236,a,1184,b)].
% 29.52/29.47  4676 -c_lessequals(c_SetInterval_OatLeastLessThan(A,B,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | c_lessequals(B,E,C) | c_lessequals(B,A,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1237,a,1184,b)].
% 29.52/29.47  4677 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeastLessThan(B,A,C),c_SetInterval_OatLeastLessThan(D,E,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1238,a,1184,b)].
% 29.52/29.47  4678 -c_lessequals(A,B,C) | -c_lessequals(D,E,C) | c_lessequals(c_SetInterval_OatLeastLessThan(E,A,C),c_SetInterval_OatLeastLessThan(D,B,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1239,a,1184,b)].
% 29.52/29.47  4679 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1240,a,1184,b)].
% 29.52/29.47  4680 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Wellfounded__Recursion_Owellorder(B).  [resolve(1241,a,1184,b)].
% 29.52/29.47  4681 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(1242,a,1184,b)].
% 29.52/29.47  4682 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(B,A,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2414,a,2428,b)].
% 29.52/29.47  4683 -c_in(A,c_SetInterval_OatLeastAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2429,a,2428,b)].
% 29.52/29.47  4684 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastAtMost(D,B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2430,a,2428,b)].
% 29.52/29.47  4685 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_lessequals(B,A,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2431,a,2428,b)].
% 29.52/29.47  4686 -c_in(A,c_SetInterval_OatLeastLessThan(B,C,D),D) | c_less(A,C,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2432,a,2428,b)].
% 29.52/29.47  4687 -c_less(A,B,C) | -c_lessequals(D,A,C) | c_in(A,c_SetInterval_OatLeastLessThan(D,B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2433,a,2428,b)].
% 29.52/29.47  4688 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2434,a,2428,b)].
% 29.52/29.47  4689 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2435,a,2428,b)].
% 29.52/29.47  4690 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2436,a,2428,b)].
% 29.52/29.47  4691 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2437,a,2428,b)].
% 29.52/29.47  4692 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_less(B,A,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2438,a,2428,b)].
% 29.52/29.47  4693 -c_in(A,c_SetInterval_OgreaterThanAtMost(B,C,D),D) | c_lessequals(A,C,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2439,a,2428,b)].
% 29.52/29.47  4694 -c_less(A,B,C) | -c_lessequals(B,D,C) | c_in(B,c_SetInterval_OgreaterThanAtMost(A,D,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2440,a,2428,b)].
% 30.22/30.18  4695 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(B,A,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2441,a,2428,b)].
% 30.22/30.18  4696 -c_in(A,c_SetInterval_OgreaterThanLessThan(B,C,D),D) | c_less(A,C,D) | -class_Wellfounded__Recursion_Owellorder(D).  [resolve(2442,a,2428,b)].
% 30.22/30.18  4697 -c_less(A,B,C) | -c_less(D,A,C) | c_in(A,c_SetInterval_OgreaterThanLessThan(D,B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2443,a,2428,b)].
% 30.22/30.18  4698 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2444,a,2428,b)].
% 30.22/30.18  4699 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2445,a,2428,b)].
% 30.22/30.18  4700 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2446,a,2428,b)].
% 30.22/30.18  4701 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Wellfounded__Recursion_Owellorder(C).  [resolve(2447,a,2428,b)].
% 30.22/30.18  4702 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ofield(A) # label(clsrel_Ring__and__Field_Oordered__field_0) # label(axiom).  [assumption].
% 30.22/30.18  4703 -class_Ring__and__Field_Ofield(A) | class_HOL_Oinverse(A) # label(clsrel_Ring__and__Field_Ofield_30) # label(axiom).  [assumption].
% 30.22/30.18  4704 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Ofield_4) # label(axiom).  [assumption].
% 30.22/30.18  4705 -class_Numeral_Onumber(A) | -class_Ring__and__Field_Ofield(A) | c_HOL_Oinverse(c_Numeral_Onumber__of(B,A),A) = c_divide(c_1,c_Numeral_Onumber__of(B,A),A) # label(cls_NatSimprocs_Oinverse__eq__divide__number__of_0) # label(axiom).  [assumption].
% 30.22/30.18  Derived: -class_Numeral_Onumber(A) | c_HOL_Oinverse(c_Numeral_Onumber__of(B,A),A) = c_divide(c_1,c_Numeral_Onumber__of(B,A),A) | -class_Ring__and__Field_Oordered__field(A).  [resolve(4705,b,4702,b)].
% 30.22/30.18  4706 -class_Ring__and__Field_Ofield(A) | c_divide(B,c_1,A) = B # label(cls_Ring__and__Field_Odivide__1_0) # label(axiom).  [assumption].
% 30.22/30.18  Derived: c_divide(A,c_1,B) = A | -class_Ring__and__Field_Oordered__field(B).  [resolve(4706,a,4702,b)].
% 30.22/30.18  4707 -class_Ring__and__Field_Ofield(A) | c_divide(c_uminus(B,A),C,A) = c_uminus(c_divide(B,C,A),A) # label(cls_Ring__and__Field_Odivide__minus__left_0) # label(axiom).  [assumption].
% 30.22/30.18  Derived: c_divide(c_uminus(A,B),C,B) = c_uminus(c_divide(A,C,B),B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4707,a,4702,b)].
% 30.22/30.18  4708 -class_Ring__and__Field_Ofield(A) | B = c_0 | c_times(c_HOL_Oinverse(B,A),B,A) = c_1 # label(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) # label(axiom).  [assumption].
% 30.22/30.18  Derived: A = c_0 | c_times(c_HOL_Oinverse(A,B),A,B) = c_1 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4708,a,4702,b)].
% 30.22/30.18  4709 -class_Ring__and__Field_Ofield(A) | c_times(B,C,A) != c_times(B,D,A) | C = D | B = c_0 # label(cls_Ring__and__Field_Ofield__mult__cancel__left_0) # label(axiom).  [assumption].
% 30.22/30.18  Derived: c_times(A,B,C) != c_times(A,D,C) | B = D | A = c_0 | -class_Ring__and__Field_Oordered__field(C).  [resolve(4709,a,4702,b)].
% 30.22/30.18  4710 -class_Ring__and__Field_Ofield(A) | c_times(c_0,B,A) = c_times(c_0,C,A) # label(cls_Ring__and__Field_Ofield__mult__cancel__left_1) # label(axiom).  [assumption].
% 30.22/30.18  Derived: c_times(c_0,A,B) = c_times(c_0,C,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4710,a,4702,b)].
% 30.22/30.18  4711 -class_Ring__and__Field_Ofield(A) | c_times(B,C,A) != c_times(D,C,A) | B = D | C = c_0 # label(cls_Ring__and__Field_Ofield__mult__cancel__right_0) # label(axiom).  [assumption].
% 30.22/30.18  Derived: c_times(A,B,C) != c_times(D,B,C) | A = D | B = c_0 | -class_Ring__and__Field_Oordered__field(C).  [resolve(4711,a,4702,b)].
% 30.22/30.18  4712 -class_Ring__and__Field_Ofield(A) | c_times(B,c_0,A) = c_times(C,c_0,A) # label(cls_Ring__and__Field_Ofield__mult__cancel__right_1) # label(axiom).  [assumption].
% 30.22/30.18  Derived: c_times(A,c_0,B) = c_times(C,c_0,B) | -class_Ring__and__Field_Oordered__field(B).  [resolve(4712,a,4702,b)].
% 30.22/30.18  4713 -class_Ring__and__Field_Ofield(A) | B = c_0 | c_times(B,c_HOL_Oinverse(B,A),A) = c_1 # label(cls_Ring__and__Field_Oright__inverse_0) # label(axiom).  [assumption].
% 30.22/30.20  Derived: A = c_0 | c_times(A,c_HOL_Oinverse(A,B),B) = c_1 | -class_Ring__and__Field_Oordered__field(B).  [resolve(4713,a,4702,b)].
% 30.22/30.20  4714 -class_Ring__and__Field_Ofield(A) | c_times(B,c_divide(C,D,A),A) = c_divide(c_times(B,C,A),D,A) # label(cls_Ring__and__Field_Otimes__divide__eq__1_0) # label(axiom).  [assumption].
% 30.22/30.20  Derived: c_times(A,c_divide(B,C,D),D) = c_divide(c_times(A,B,D),C,D) | -class_Ring__and__Field_Oordered__field(D).  [resolve(4714,a,4702,b)].
% 30.22/30.20  4715 -class_Ring__and__Field_Ofield(A) | c_times(c_divide(B,C,A),D,A) = c_divide(c_times(B,D,A),C,A) # label(cls_Ring__and__Field_Otimes__divide__eq__2_0) # label(axiom).  [assumption].
% 30.22/30.20  Derived: c_times(c_divide(A,B,C),D,C) = c_divide(c_times(A,D,C),B,C) | -class_Ring__and__Field_Oordered__field(C).  [resolve(4715,a,4702,b)].
% 30.22/30.20  4716 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(43,a,54,b)].
% 30.22/30.20  4717 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(63,a,54,b)].
% 30.22/30.20  4718 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(64,a,54,b)].
% 30.22/30.20  4719 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(65,a,54,b)].
% 30.22/30.20  4720 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(66,a,54,b)].
% 30.22/30.20  4721 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(67,a,54,b)].
% 30.22/30.20  4722 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(68,a,54,b)].
% 30.22/30.20  4723 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(69,a,54,b)].
% 30.22/30.20  4724 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(70,a,54,b)].
% 30.22/30.20  4725 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(108,b,83,b)].
% 30.22/30.20  4726 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(109,b,83,b)].
% 30.22/30.20  4727 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(183,a,162,b)].
% 30.22/30.20  4728 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(184,a,162,b)].
% 30.22/30.20  4729 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(221,c,196,b)].
% 30.22/30.20  4730 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(222,c,196,b)].
% 30.22/30.20  4731 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(226,b,196,b)].
% 30.22/30.20  4732 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(227,b,196,b)].
% 30.22/30.20  4733 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ofield(C).  [resolve(307,a,290,b)].
% 30.22/30.20  4734 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ofield(C).  [resolve(308,a,290,b)].
% 30.22/30.20  4735 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(380,a,359,b)].
% 30.22/30.20  4736 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(381,a,359,b)].
% 30.30/30.22  4737 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ofield(C).  [resolve(389,c,359,b)].
% 30.30/30.22  4738 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ofield(C).  [resolve(390,c,359,b)].
% 30.30/30.22  4739 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(410,a,398,b)].
% 30.30/30.22  4740 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(413,b,398,b)].
% 30.30/30.22  4741 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(414,b,398,b)].
% 30.30/30.22  4742 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Ofield(B).  [resolve(415,a,398,b)].
% 30.30/30.22  4743 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Ofield(B).  [resolve(416,a,398,b)].
% 30.30/30.22  4744 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(417,a,398,b)].
% 30.30/30.22  4745 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(428,c,398,b)].
% 30.30/30.22  4746 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(429,c,398,b)].
% 30.30/30.22  4747 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(433,b,398,b)].
% 30.30/30.22  4748 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(434,b,398,b)].
% 30.30/30.22  4749 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(439,b,398,b)].
% 30.30/30.22  4750 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(440,b,398,b)].
% 30.30/30.22  4751 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ofield(C).  [resolve(442,c,398,b)].
% 30.30/30.22  4752 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ofield(C).  [resolve(443,c,398,b)].
% 30.30/30.22  4753 c_times(c_1,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(598,a,590,b)].
% 30.30/30.22  4754 c_times(A,c_1,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(599,a,590,b)].
% 30.30/30.22  4755 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(637,d,619,b)].
% 30.30/30.22  4756 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(638,d,619,b)].
% 30.30/30.22  4757 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(639,d,619,b)].
% 30.30/30.22  4758 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(640,d,619,b)].
% 30.30/30.22  4759 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(641,d,619,b)].
% 30.30/30.22  4760 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(642,d,619,b)].
% 30.30/30.22  4761 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(643,d,619,b)].
% 30.30/30.22  4762 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(644,d,619,b)].
% 30.30/30.22  4763 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(645,d,619,b)].
% 30.30/30.22  4764 c_times(c_1,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(681,b,654,b)].
% 30.30/30.23  4765 c_times(A,c_1,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(682,b,654,b)].
% 30.30/30.23  4766 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(830,c,788,b)].
% 30.30/30.23  4767 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(831,c,788,b)].
% 30.30/30.23  4768 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Ofield(B).  [resolve(832,b,788,b)].
% 30.30/30.23  4769 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Ofield(B).  [resolve(833,b,788,b)].
% 30.30/30.23  4770 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(834,b,788,b)].
% 30.30/30.23  4771 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(837,d,788,b)].
% 30.30/30.23  4772 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(838,d,788,b)].
% 30.30/30.23  4773 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(839,d,788,b)].
% 30.30/30.23  4774 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(840,d,788,b)].
% 30.30/30.23  4775 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(841,d,788,b)].
% 30.30/30.23  4776 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(842,d,788,b)].
% 30.30/30.23  4777 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(843,d,788,b)].
% 30.30/30.23  4778 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(844,d,788,b)].
% 30.30/30.23  4779 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(845,d,788,b)].
% 30.30/30.23  4780 c_times(c_1,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(846,b,788,b)].
% 30.30/30.23  4781 c_times(A,c_1,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(847,b,788,b)].
% 30.30/30.23  4782 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(850,b,788,b)].
% 30.30/30.23  4783 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(851,b,788,b)].
% 30.30/30.23  4784 c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Ofield(A).  [resolve(869,a,864,b)].
% 30.30/30.23  4785 c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Ofield(A).  [resolve(870,a,864,b)].
% 30.30/30.23  4786 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ofield(B).  [resolve(871,a,864,b)].
% 30.30/30.23  4787 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ofield(B).  [resolve(872,a,864,b)].
% 30.30/30.23  4788 c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ofield(B).  [resolve(873,a,864,b)].
% 30.30/30.23  4789 c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Ofield(B).  [resolve(874,a,864,b)].
% 30.30/30.23  4790 c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Ofield(A).  [resolve(875,a,864,b)].
% 30.30/30.23  4791 c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(876,a,864,b)].
% 30.30/30.23  4792 c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(877,a,864,b)].
% 30.48/30.40  4793 -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(878,a,864,b)].
% 30.48/30.40  4794 c_in(c_0,c_IntDef_OInts,A) | -class_Ring__and__Field_Ofield(A).  [resolve(945,a,941,b)].
% 30.48/30.40  4795 c_in(c_1,c_IntDef_OInts,A) | -class_Ring__and__Field_Ofield(A).  [resolve(946,a,941,b)].
% 30.48/30.40  4796 -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_plus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(947,a,941,b)].
% 30.48/30.40  4797 -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_minus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(948,a,941,b)].
% 30.48/30.40  4798 -c_in(A,c_IntDef_OInts,B) | c_in(c_uminus(A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(949,a,941,b)].
% 30.48/30.40  4799 -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_times(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(950,a,941,b)].
% 30.48/30.40  4800 c_IntDef_Oof__int(c_1,A) = c_1 | -class_Ring__and__Field_Ofield(A).  [resolve(951,a,941,b)].
% 30.48/30.40  4801 c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),C) = c_plus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(952,a,941,b)].
% 30.48/30.40  4802 c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),C) = c_minus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(953,a,941,b)].
% 30.48/30.40  4803 c_IntDef_Oof__int(c_IntDef_Oint(A),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Ofield(B).  [resolve(954,a,941,b)].
% 30.48/30.40  4804 c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),B) = c_uminus(c_IntDef_Oof__int(A,B),B) | -class_Ring__and__Field_Ofield(B).  [resolve(955,a,941,b)].
% 30.48/30.40  4805 c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),C) = c_times(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(956,a,941,b)].
% 30.48/30.40  4806 c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Ofield(B).  [resolve(957,a,941,b)].
% 30.48/30.40  4807 -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),C) = c_minus(c_NatArith_Oof__nat(B,C),c_NatArith_Oof__nat(A,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(958,a,941,b)].
% 30.48/30.40  4808 -class_Power_Orecpower(A) | c_Nat_Opower(c_uminus(B,A),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) = c_Nat_Opower(B,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) | -class_Ring__and__Field_Ofield(A).  [resolve(959,b,941,b)].
% 30.48/30.40  4809 -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_1 | -class_Ring__and__Field_Ofield(A).  [resolve(960,b,941,b)].
% 30.48/30.40  4810 -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_uminus(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(961,b,941,b)].
% 30.48/30.40  4811 -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_Nat_Opower(C,B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(962,b,941,b)].
% 30.48/30.40  4812 -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_uminus(c_Nat_Opower(C,B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(963,b,941,b)].
% 30.48/30.40  4813 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ofield(A).  [resolve(3791,b,3753,b)].
% 30.48/30.40  4814 -class_Numeral_Onumber(A) | c_times(c_plus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_plus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3798,c,3753,b)].
% 30.48/30.40  4815 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_plus(C,D,A),A) = c_plus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3799,c,3753,b)].
% 30.48/30.40  4816 c_plus(A,c_0,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(3800,b,3753,b)].
% 30.48/30.40  4817 c_plus(c_0,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(3801,b,3753,b)].
% 30.48/30.40  4818 c_plus(A,B,C) != c_plus(A,D,C) | B = D | -class_Ring__and__Field_Ofield(C).  [resolve(3805,c,3753,b)].
% 30.48/30.40  4819 c_plus(A,B,C) != c_plus(D,B,C) | A = D | -class_Ring__and__Field_Ofield(C).  [resolve(3806,c,3753,b)].
% 30.48/30.40  4820 -class_Numeral_Onumber(A) | c_times(c_minus(B,C,A),c_Numeral_Onumber__of(D,A),A) = c_minus(c_times(B,c_Numeral_Onumber__of(D,A),A),c_times(C,c_Numeral_Onumber__of(D,A),A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3825,c,3753,b)].
% 30.48/30.40  4821 -class_Numeral_Onumber(A) | c_times(c_Numeral_Onumber__of(B,A),c_minus(C,D,A),A) = c_minus(c_times(c_Numeral_Onumber__of(B,A),C,A),c_times(c_Numeral_Onumber__of(B,A),D,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3826,c,3753,b)].
% 30.48/30.40  4822 c_times(c_uminus(A,B),c_uminus(C,B),B) = c_times(A,C,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3827,b,3753,b)].
% 30.48/30.40  4823 c_times(c_uminus(A,B),C,B) = c_uminus(c_times(A,C,B),B) | -class_Ring__and__Field_Ofield(B).  [resolve(3828,b,3753,b)].
% 30.48/30.40  4824 c_times(A,c_uminus(B,C),C) = c_uminus(c_times(A,B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3829,b,3753,b)].
% 30.48/30.40  4825 -class_OrderedGroup_Oab__group__add(A) | c_uminus(B,A) != c_1 | B = c_uminus(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3830,d,3753,b)].
% 30.48/30.40  4826 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_1,c_uminus(B,A),A) | c_lessequals(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3831,d,3753,b)].
% 30.48/30.40  4827 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,c_uminus(c_1,A),A) | c_lessequals(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3832,d,3753,b)].
% 30.48/30.40  4828 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_1,c_uminus(B,A),A) | c_less(B,c_uminus(c_1,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3833,d,3753,b)].
% 30.48/30.40  4829 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,c_uminus(c_1,A),A) | c_less(c_1,c_uminus(B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3834,d,3753,b)].
% 30.48/30.40  4830 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(B,A),c_1,A) | c_lessequals(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3835,d,3753,b)].
% 30.48/30.40  4831 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_uminus(c_1,A),B,A) | c_lessequals(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3836,d,3753,b)].
% 30.48/30.40  4832 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(B,A),c_1,A) | c_less(c_uminus(c_1,A),B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3837,d,3753,b)].
% 30.48/30.40  4833 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(c_uminus(c_1,A),B,A) | c_less(c_uminus(B,A),c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3838,d,3753,b)].
% 30.48/30.40  4834 c_times(c_1,A,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(3839,b,3753,b)].
% 30.48/30.40  4835 c_times(A,c_1,B) = A | -class_Ring__and__Field_Ofield(B).  [resolve(3840,b,3753,b)].
% 30.48/30.40  4836 c_times(c_0,A,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(3842,b,3753,b)].
% 30.48/30.40  4837 c_times(A,c_0,B) = c_0 | -class_Ring__and__Field_Ofield(B).  [resolve(3843,b,3753,b)].
% 30.48/30.40  4838 c_in(c_0,c_IntDef_ONats,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3844,b,3753,b)].
% 30.48/30.40  4839 c_in(c_1,c_IntDef_ONats,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3845,b,3753,b)].
% 30.48/30.40  4840 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_plus(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3846,d,3753,b)].
% 30.48/30.40  4841 -c_in(A,c_IntDef_ONats,B) | -c_in(C,c_IntDef_ONats,B) | c_in(c_times(C,A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3847,d,3753,b)].
% 30.48/30.40  4842 c_in(c_NatArith_Oof__nat(A,B),c_IntDef_ONats,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3848,b,3753,b)].
% 30.48/30.40  4843 c_NatArith_Oof__nat(c_Suc(A),B) = c_plus(c_NatArith_Oof__nat(A,B),c_1,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3849,b,3753,b)].
% 30.48/30.40  4844 c_NatArith_Oof__nat(c_1,A) = c_1 | -class_Ring__and__Field_Ofield(A).  [resolve(3850,b,3753,b)].
% 30.48/30.40  4845 c_NatArith_Oof__nat(c_plus(A,B,tc_nat),C) = c_plus(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3851,b,3753,b)].
% 31.71/31.62  4846 c_NatArith_Oof__nat(c_times(A,B,tc_nat),C) = c_times(c_NatArith_Oof__nat(A,C),c_NatArith_Oof__nat(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3852,b,3753,b)].
% 31.71/31.62  4847 -c_IntDef_Oiszero(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3853,b,3753,b)].
% 31.71/31.62  4848 c_in(c_0,c_IntDef_OInts,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3854,b,3753,b)].
% 31.71/31.62  4849 c_in(c_1,c_IntDef_OInts,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3855,b,3753,b)].
% 31.71/31.62  4850 -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_plus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3856,d,3753,b)].
% 31.71/31.62  4851 -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_minus(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3857,d,3753,b)].
% 31.71/31.62  4852 -c_in(A,c_IntDef_OInts,B) | c_in(c_uminus(A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3858,c,3753,b)].
% 31.71/31.62  4853 -c_in(A,c_IntDef_OInts,B) | -c_in(C,c_IntDef_OInts,B) | c_in(c_times(C,A,B),c_IntDef_OInts,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3859,d,3753,b)].
% 31.71/31.62  4854 c_IntDef_Oof__int(c_1,A) = c_1 | -class_Ring__and__Field_Ofield(A).  [resolve(3860,b,3753,b)].
% 31.71/31.62  4855 c_IntDef_Oof__int(c_plus(A,B,tc_IntDef_Oint),C) = c_plus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3861,b,3753,b)].
% 31.71/31.62  4856 c_IntDef_Oof__int(c_minus(A,B,tc_IntDef_Oint),C) = c_minus(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3862,b,3753,b)].
% 31.71/31.62  4857 c_IntDef_Oof__int(c_IntDef_Oint(A),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3863,b,3753,b)].
% 31.71/31.62  4858 c_IntDef_Oof__int(c_uminus(A,tc_IntDef_Oint),B) = c_uminus(c_IntDef_Oof__int(A,B),B) | -class_Ring__and__Field_Ofield(B).  [resolve(3864,b,3753,b)].
% 31.71/31.62  4859 c_IntDef_Oof__int(c_times(A,B,tc_IntDef_Oint),C) = c_times(c_IntDef_Oof__int(A,C),c_IntDef_Oof__int(B,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3865,b,3753,b)].
% 31.71/31.62  4860 c_IntDef_Oof__int(c_NatArith_Oof__nat(A,tc_IntDef_Oint),B) = c_NatArith_Oof__nat(A,B) | -class_Ring__and__Field_Ofield(B).  [resolve(3866,b,3753,b)].
% 31.71/31.62  4861 -c_lessequals(A,B,tc_nat) | c_NatArith_Oof__nat(c_minus(B,A,tc_nat),C) = c_minus(c_NatArith_Oof__nat(B,C),c_NatArith_Oof__nat(A,C),C) | -class_Ring__and__Field_Ofield(C).  [resolve(3867,c,3753,b)].
% 31.71/31.62  4862 -class_Power_Orecpower(A) | c_Nat_Opower(c_uminus(B,A),c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) = c_Nat_Opower(B,c_times(c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),C,tc_nat),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3868,c,3753,b)].
% 31.71/31.62  4863 -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_1 | -class_Ring__and__Field_Ofield(A).  [resolve(3869,d,3753,b)].
% 31.71/31.62  4864 -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(c_1,A),B,A) = c_uminus(c_1,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3870,d,3753,b)].
% 31.71/31.62  4865 -class_Power_Orecpower(A) | -c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_Nat_Opower(C,B,A) | -class_Ring__and__Field_Ofield(A).  [resolve(3871,d,3753,b)].
% 31.71/31.62  4866 -class_Power_Orecpower(A) | c_Parity_Oeven(B,tc_nat) | c_Nat_Opower(c_uminus(C,A),B,A) = c_uminus(c_Nat_Opower(C,B,A),A) | -class_Ring__and__Field_Ofield(A).  [resolve(3872,d,3753,b)].
% 31.71/31.62  
% 31.71/31.62  ============================== end predicate elimination =============
% 31.71/31.62  
% 31.71/31.62  Auto_denials:  (non-Horn, no changes).
% 31.71/31.62  
% 31.71/31.62  Term ordering decisions:
% 31.71/31.62  Function symbol KB weights:  tc_IntDef_Oint=1. tc_nat=1. c_0=1. c_1=1. c_emptyset=1. c_Finite__Set_OFinites=1. c_List_Olist_ONil=1. c_Numeral_OPls=1. c_IntDef_ONats=1. c_Numeral_Obit_OB1=1. c_Numeral_Obit_OB0=1. c_UNIV=1. c_IntDef_OInts=1. tc_Message_Omsg=1. c_Numeral_OMin=1. tc_List_Onibble=1. c_Relation_OId=1. c_IntDef_Ointrel=1. c_Datatype_Ooption_ONone=1. c_IntDef_OInteg=1. c_Wellfounded__Relations_Oless__than=1. c_Extraction_Osumbool_OLeft=1. c_Extraction_Osumbool_ORight=1. c_List_Onibble_ONibble0=1. c_List_Onibble_ONibble1=1. c_List_Onibble_ONibble2=1. c_List_Onibble_ONibble3=1. c_List_Onibble_ONibble4=1. c_List_Onibble_ONibble5=1. c_List_Onibble_ONibble6=1. c_List_Onibble_ONibble7=1. c_List_Onibble_ONibble8=1. c_List_Onibble_ONibble9=1. c_List_Onibble_ONibbleA=1. c_List_Onibble_ONibbleB=1. c_List_Onibble_ONibbleC=1. c_List_Onibble_ONibbleD=1. c_List_Onibble_ONibbleE=1. c_List_Onibble_ONibbleF=1. c_Product__Type_OUnity=1. tc_Message_Oagent=1. tc_Extraction_Osumbool=1. tc_Numeral_Obit=1. tc_Product__Type_Ounit=1. c_Message_Oagent_OServer=1. c_Message_Oagent_OSpy=1. tc_List_Ochar=1. tc_bool=1. v_H=1. v_X=1. v_Y=1. c_Numeral_Onumber__of=1. c_uminus=1. c_NatArith_Oof__nat=1. tc_prod=1. c_SetInterval_OatMost=1. c_SetInterval_OatLeast=1. c_Numeral_OBit=1. c_Nat_Osize=1. tc_Datatype__Universe_Onode=1. c_SetInterval_OlessThan=1. c_Finite__Set_OMax=1. c_Finite__Set_OMin=1. c_HOL_Oabs=1. c_SetInterval_OgreaterThan=1. c_IntDef_Oof__int=1. c_Numeral_Obin__add=1. c_List_Oset=1. c_List_Orev=1. c_Union=1. c_List_Olists=1. c_OrderedGroup_Onprt=1. c_OrderedGroup_Opprt=1. c_Transitive__Closure_Ortrancl=1. c_Finite__Set_Ocard=1. c_Inter=1. c_List_Oremdups=1. c_List_Oupt=1. c_List_Olast=1. c_List_Oconcat=1. c_List_Olistrel=1. c_List_Olex=1. c_Pow=1. c_Datatype_Ooption_OSome=1. c_Numeral_Obin__mult=1. c_Relation_Odiag=1. tc_sum=1. c_Binomial_Obinomial=1. c_List_Olexord=1. c_List_Orotate1=1. c_Message_Omsg_OMPair=1. c_List_Obutlast=1. c_List_Ohd=1. c_List_Otl=1. c_Message_Omsg_OCrypt=1. c_Transitive__Closure_Otrancl=1. c_Datatype_Oo2s=1. c_List_Ochar_OChar=1. c_IntDiv_Oadjust=1. c_List_Olistset=1. c_Main_OIdE__1=1. c_Main_OInter__UNIV__conv__1__1=1. c_Main_OInter__UNIV__conv__2__1=1. c_Main_ONil__eq__concat__conv__1=1. c_Main_OUnion__empty__conv__1=1. c_Main_Oconcat__eq__Nil__conv__1=1. c_Main_Oempty__Union__conv__1=1. c_Main_Ofinite__Union__1=1. c_Datatype_Othe=1. c_Fun_Oid=1. c_List_Olenlex=1. c_Main_Oall__not__in__conv__1=1. c_Main_Olexord__Nil__left__1=1. c_Main_Olexord__Nil__left__2=1. c_Main_Omod__eq__0D__dest__1=1. c_Main_Onot__None__eq__1=1. c_Main_Onot__Some__eq__1=1. c_Main_Ozmod__eq__0D__dest__1=1. c_Set_Ocontents=1. tc_fun=1. tc_set=1. tc_List_Olist=1. c_Suc=1. c_Numeral_Obin__minus=1. c_IntDef_Oint=1. c_IntDef_Onat=1. c_Message_OkeysFor=1. c_GCD_Ogcd=1. c_Message_Oparts=1. c_IntDiv_OnegDivAlg=1. c_IntDiv_OposDivAlg=1. c_Numeral_Obin__pred=1. c_IntDiv_OnegateSnd=1. c_Numeral_Obin__succ=1. c_Message_OinvKey=1. c_Message_Omsg_OAgent=1. c_Message_Omsg_OHash=1. c_Message_Omsg_OKey=1. c_Message_Omsg_ONonce=1. c_Message_Omsg_ONumber=1. c_IntDef_OAbs__Integ=1. c_Message_Oagent_OFriend=1. tc_Datatype_Ooption=1. c_IntDef_ORep__Integ=1. c_plus=1. c_times=1. c_insert=1. c_minus=1. c_SetInterval_OatLeastLessThan=1. c_Nat_Opower=1. c_List_Olist_OCons=1. c_Orderings_Omin=1. c_Orderings_Omax=1. c_Divides_Oop_Amod=1. c_SetInterval_OatLeastAtMost=1. c_append=1. c_div=1. c_SetInterval_OgreaterThanAtMost=1. c_inter=1. c_union=1. c_SetInterval_OgreaterThanLessThan=1. c_LOrder_Ojoin=1. c_LOrder_Omeet=1. c_List_Onth=1. c_List_Odrop=1. c_List_Otake=1. c_List_Oreplicate=1. c_Datatype__Universe_OIn0=1. c_Datatype__Universe_OIn1=1. c_Main_OMax__le__iff__1=1. c_Main_OMax__less__iff__1=1. c_Main_OMin__ge__iff__1=1. c_Main_OMin__gr__iff__1=1. c_Relation_ODomain=1. c_Relation_Oconverse=1. c_List_Orotate=1. c_Relation_ORange=1. c_fst=1. c_snd=1. c_List_Oremove1=1. c_List_Osublist=1. c_Sum__Type_OInl=1. c_Sum__Type_OInr=1. c_List_Olist__inter=1. c_Datatype__Universe_OAtom=1. c_Datatype__Universe_OLeaf=1. c_Datatype__Universe_ONumb=1. c_Equiv__Relations_Oquotient=1. c_List_Oitrev=1. c_Main_OdiagE__1=1. c_Main_OInterI__1=1. c_Main_OInter__iff__1=1. c_Main_OUnionE__1=1. c_Main_OUnion__iff__1=1. c_Main_Oin__listsI__1=1. c_Main_OsubsetI__1=1. c_Datatype_Ounit_Ounit__case=1. c_Datatype_Ounit_Ounit__rec=1. c_List_Olexn=1. c_List_Oset__Cons=1. c_Main_Osurj__pair__1=1. c_Main_Osurj__pair__2=1. c_Pair=1. c_Relation_OImage=1. c_Datatype__Universe_Ontrunc=1. c_Datatype__Universe_OScons=1. c_List_OzCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------